Multi-Frequency Mud Siren Simulation and Experiment for Increasing Data Transmission Rate in Mud Pulse Telemetry

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Amongst these, the most common method for data transmission in deep boreholes remains “Mud Pulse Telemetry” which sends information through the drilling mud inside the drill string by means of coded pressure pulses. Due to the limitation in data transmission rate, efforts have been on to seek ways of improving data transmission rate in Mud Pulse Telemetry. One of such efforts is exploring the plurality of Mud sirens for signal amplification and increased data transmission rate. The objective of this research is to push the boundaries of the plurality of mud sirens beyond theories into practical experiments. Investigation was done on the Multi-frequency mud siren concept by simulations and practical experiments within the specially built flowloop facility in the Institute for Drilling Engineering and Fluid Mining, Technische Universitat Bergakademie Freiberg. Various scenarios, frequencies, timeslots and set-up configurations (series and parallel) were explored. Numerical simulation was done using ANSYS CFX and resulting signals were duly processed and analyzed with MATLAB. The paper displays results of the simulation and experiment establishing the theory of signal amplification and increase in data transmission rate via the multi-frequency mud siren concept. Mud siren Multi-Frequency Mud Pulse Telemetry Flowloop Data transmission Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure 11 Figure 12 Figure 13 Figure 14 Figure 15 Figure 16 Figure 17 Figure 18 Figure 19 Figure 20 Figure 21 Figure 22 1. Introduction While drilling deep boreholes into the earth, we constantly have to monitor and control various parameters to be able to navigate safely to our desired target. In order to achieve this, logging and measuring tools have been developed to monitor various parameters such as the inclination, azimuth, temperature, pressure etc. Information acquired from these tools are encoded, transmitted to surface and decoded to be able to make real time decisions with them. Over time, though various means of telemetry have been researched and developed, Mud Pulse Telemetry (MPT) which makes use of the drilling mud in the drill string as a transmitting channel is the most common method of data transfer. In the seventy’s, real time-measurement while drilling (MWD) systems were introduced. One of such used a rotating valve mechanism to generate continuous waves using phase shift keying modulation [ 1 ][ 2 ]. In the last 20 years, drilling depths have increased as well as drilling data rates. Thus, increasing the demand for higher transmission rates and quality for mud pulse telemetry. Innovation in technology has led to improvements in both pulser types and surface detection techniques. With progression in required measurements in the industry, transmission rates increased to 3bps in 2001 [ 3 ]. In 2007, the first oscillating high-speed shear valve pulser was released to the market and delivered a step change in flexibility by combining the advantages of previously available pulser types. Currently, the average data rate of mud pulse telemetry hovers around 10 + bps. There are two main types of devices available for downhole pressure pulses generation in mud pulse telemetry. The first type is the (positive or negative) pressure pulser which transmits the data by quasi-static variations of the pressure level inside the drill string. The second type is the (rotating or oscillating) mud siren which transmits the data by generating continuous pressure waves at specific frequencies. While downhole sensors and decoding software have evolved, transmission rates have remained limited. Hence, the need for more research in this direction. In order to contribute to knowledge in this field, a flow loop was set up at the research laboratory of the Institute of Drilling Engineering and Fluid Mining (IBF), Technical University Bergakademie Freiberg. The flow loop is made up of a pump, an actuator, pipeline, pressure transducers and various mud pulsers and sirens. The flow loop was set up to simulate reality on the drilling rig as much as possible. The aim of setting up this facility is to study the transmission of pressure pulses in the drilling string and performance of various types of pulsers in improving transmission rates. The drilling fluid in this set up is water which is the flowing fluid just like the mud in our normal borehole scenario. A positive displacement pump takes water from a tank and flows through PVC pipes with four (4) pressure sensors installed along the flowline. Various pulsers and mud siren prototypes are installed along the line. The whole set up is controlled by LabVIEW Software and operates at a maximum of 10 bars and 40 m 3 /h The transmitting device prototypes available include the positive pulser, negative pulser and mud siren. The measured signals from the sensors are shown in time and frequency spectrum in the measuring cabin. Several parameters can easily be adjusted as well as the control of the pulsers and siren. 2. Multi-Frequency Siren Investigations The first idea of plurality was seen in a multistage modulator which included several valves operable serially for the purpose of amplitude modulation [4]. The signal strength of the generated pulse signal is multiplied by the number of stages in the series assembly. Chin (1996) [5] also described a pulse generation system with plurality of mud sirens in tandem to enhance signal level and provide multiple amplitude levels to increase data transmission rate. In a previous research conducted in the IBF flow loop facility, Hybrid Mud Pulse Telemetry (HMPT) concept was developed and tested to increase data transmission [6]. This was a combination of a mud pulser (Positive and Negative) and a mud siren. This concept was developed and investigated taking into consideration the different trasmitting time slots of the mud pulser and mud siren. Combination of mud siren and the pulser was used to achieved a slight increase in data transmission rate. Since the mud siren delivers a higher data rate than the pulser, it was decided to replace the pulser with a second siren in the HMPT concept. A patent was filed in 2016 by the Technische Universität Bergakademie Freiberg showing a multiple siren arrangement in series for multi-frequency transmission (Fig. 1). It highlighted the theoretical possibility of two mud siren rotors in series transmitting different frequencies. To generate at least two different carrier frequencies simultaneously, there would be at least two sets of rotor/stator in the assembly. The arrangement of the stator/rotor can be in series or parallel. Each rotor would be rotated at different rotational speeds hence generating different transmission frequencies. Another method would be to have two mud sirens, with different slot configurations and rotated at the same speed, this will also yield different frequencies. In this research, two mud sirens with the same slot configuration and rotated at different speeds were used. Hence, two mud sirens are working simultaneously, each transmitting data at different frequencies, thus resulting in a multi frequency transmission scenario with increased data rates. Prior to proceeding with experimental test on the flowloop, simulation was performed to obtain initial results and understand the characteristics of simultaneous frequency transmission in series and parallel. This research aims to deepen understanding of the multi-frequency siren concept with numerical and experimental investigations. The selected frequencies used for this study, 15Hz and 39 Hz are based on on the suitable passbands available in the flow loop facility as recommended from previous research [6]. Arrangements of stator/rotor in series and in parallel were also investigated. 2.1 Multifrequency Double Mud Siren ANSYS Simulation Prior to proceeding with experimental test on the flowloop, simulation was performed to obtain initial results and understand the characteristics of simultaneous frequency transmission in series and parallel. The geometry model was created using SOLIDWORKS based on the 2-way fluid coupling structure. The model contains the flow domain and the mud siren structure domain, with each domain having different characteristics(Fig. 2 & 3). The flow domain was designed according to the dimensions of the pipeline and the mud siren segment of the flow domain is hollowed out (Fig. 4). The mud siren domain f is sub-divided into the rotor and stator domain. The stator domain is fixed and stationary while the rotor domain rotates. Meshing for the flow domain and siren domain were done differently because of the difference in size (Fig 5 & 6). The average mesh value was 0.8 which is acceptable for simulation. Transient flow analysis was set-up for both the series and parallel simulation with a total time of 3s in timesteps of 0.001s, hence 3000 timesteps in total. Domains created include Default domain, rotor 1 domain, rotor 2 domain, stator 1 domain and stator 2 domain. The setup has a total of 12 interfaces since each rotor and stator domain contains 3 interfaces namely inlet, shroud and outlet. The inlet boundary condition for the transient (unsteady state) simulation was a constant mass rate of 8.317 kg/s corresponding to 30 m 3 /h. The outlet boundary condition was average static pressure of zero pascal (0 Pa) which is default standard. The turbulence model option chosen is default k-epsilon and the domain motion was set to stationary. The rotor domain was set to rotate around the “Global Z” axis while the stator domain was set to be stationary. Each rotor interface uses a “general connection”, “transient rotor stator” frame change / mixing model and a specified pitch change of 360 degree. Convergence criteria was RMS residual target of 1e-4 and max coefficient loop of 10. To monitor output, default transient result and 4 monitor points were set up to monitor the pressure. Each monitoring point is chosen to correspond with the 4 pressure sensors in the real flow loop facility (Fig. 7). Simulation was done to compare results for the single and double mud siren when operated with the same frequency simultaneously. The results for the series (Fig. 8) and parallel (Fig. 9) simulation scenarios show that the double mud siren produced higher pressure values than the single siren. Table 1 shows the figures comparatively. Hence, validating that the multifrequency siren can be used to achieve signal amplification. Table 1 ANSYS CFX flowloop model FFT amplitudes for the Single vs Double mud siren in series and parallel 15 Hz 39 Hz Single Siren Double Siren Single Siren Double Siren Series 3.73 23.53 19.4 160.4 Parallel 2.199 30.06 12.43 94.99 In a similar manner, simulation for the multi-frequency double siren with different frequencies (15 Hz and 39 Hz) and various arrangements (series and parallel) was done. Simulation results seen in Fig. 10 and Fig. 11 show the possibility for two signals with different frequencies to be propagated and received. The top part (A) of the figure shows the actual pressure signal from the mud siren as measured by sensor P1. This is followed by the frequency analysis of the signal shown by the FFT amplitude (B). The frequencies seen in the frequency analysis are 15 Hz (mud siren 1), 39 Hz (mud siren 2) and some frequency harmonics (30 Hz, 45 Hz, 60 Hz, 75 Hz, 78 Hz, 90 Hz etc. The third part (C) of the figure shows the extracted FFT amplitude for both mud sirens after frequency filters are applied. This is followed by the extracted pressure signal (D) after filters have been applied. The bottom part (E) of the figures above shows the transformation of the filtered information signal into continuous wavelet (CWT) using a Morlet wave. The Continuous wavelet transformation (CWT) can be said to be an advanced technique of signal transformation compared to the Fourier transformation. CWT helps us to visualize the frequency spectrum with their corresponding time ranges. The integral wavelet transformation of a function f(t) with respect to some analyzing wavelet is defined as: 2.2 Multifrequency Double Mud Siren Experiment Following the success of the simulation, the physical experiments were performed in a similar manner within the flow-loop facility. Two new mud-sirens were created and fitted in the flowloop in series and parallel configuration (Fig. 12 & 13) Transmission tests were carried out at a flow rate of 25 m 3 /h which is very stable for the flow loop and at passband frequencies of 15Hz and 39Hz as recommended from previous research. All sensors and Siren positions in series and parallel also remain constant through all the experiments. The first experiment was the single vs double mud siren practical scenario. The double mud siren was operated in a synchronous manner. The results in Figures 14 and 15 show the frequency Fast Fourier Transform (FFT) amplitude of the whole signal transmitted with 15 Hz, 0.8s time slot in series and parallel respectively. The above result shows there was a significant amplitude increase in the synchronous double mud siren test compared to the single mud siren in both configurations (Table 2). This affirms the previous simulation results and confirms the theory that when the double siren is used to transmit same carrier frequency in a synchronized manner, there will be an increase in signal FFT amplitude. Table 2 Experimental flowloop FFT amplitudes for the Single vs Double mud siren in series and parallel 15 Hz 39 Hz Single Siren Double Siren Double Siren repeat Single Siren Double Siren Double Siren repeat Series 42.36 64.75 64.33 13.28 17.92 17.57 Parallel 43.99 51.81 52.71 3.074 5.955 5.813 Afterwards, a double mud siren multi-frequency transmission test was performed with both sirens (mud siren 1 and 2) operating simultaneously with different carrier frequencies (15hz and 39hz) but at the same time slot and duration. Modulation was done with On-Off keying (OOK). The aim of the test was to show that both sirens can successfully transmit different frequencies simultaneously. Figures 16 and 17 below show the results of the double mud siren transmission test in series and parallel. The bottom part of each figure shows the transformation of the filtered information signal into CWT using a morlet wave. The signal in the appropriate morlet wave scale shows that the signal was successfully transmitted and received. In the final particular test performed, the double mud siren was used for transmitting different binary data strings with different Frequencies. The aim of the test was to implement a scenario close to reality on the field. Two different sets of data string were transmitted with different frequencies using a transmission time slot of 0.8s in series and 0.6s in parallel (Table 3 and 4 Table xxx ). Mud siren 1 transmitted using a carrier frequency of 39 Hz while mud siren 2 used a carrier frequency of 15 Hz in both series and parallel configuration. Both data strings were modulated using On-Off keying (OOK). Figures 18 and 20 Figure xxx shows the mixed data string as pressure signal and the subsequent extracted information signal after applying the mud siren filter for 39 Hz and 15 Hz. The extracted signal for both sirens are transformed and presented using Continuous Wavelet Transform (CWT) (Figures 19 and 21 Fig. xxx ). In the CWT interpretation, when the wave shows up on the scale, it represents binary “1”, while no wave represents binary “0”. The results of the CWT interpretation show that we successfully transmitted and received real binary string data with both sirens operating simultaneously at different frequencies. Both series and parallel configurations were successful. Table 3 Data strings transmitted via Mud Siren 1 & 2 using 39 Hz and 15 Hz frequency respectively with a 0.8s time slot in a series configuration Mud Siren 1: Data string transmitted with 39 Hz 0 0 1 1 1 0 0 1 1 1 Mud Siren 2: Data string transmitted with 15 Hz 0 1 1 1 0 1 1 0 0 0 Table 4: Data strings transmitted via Mud Siren 1 & 2 using 39 Hz and 15 Hz frequency respectively with a 0.6s time slot in a parallel configuration. Mud Siren 1: Data string transmitted with 39 Hz 1 0 1 1 1 0 1 1 1 1 Mud Siren 2: Data string transmitted with 15 Hz 0 1 1 0 0 0 1 1 1 0 3. Multi-frequency Mud Siren Future Work Having proven the use of the Multi Frequency Mud Siren concept practically, it is necessary to seek ways of adapting the concept to real field scenarios. In series, putting two separate units of the mud siren in the drill string is easy to implement but this will lead to a longer tool section length. For the parallel case, having two mud siren units side-by-side will mean having huge variation in diameter within the BHA which is not desirable and can lead to drilling complications under certain conditions. Hence, the need for a prototype design applicable in real field scenarios. A prototype concept proposed is called the Compact Multi Frequency Mud Siren (CMFMS). A Compact Multi Frequency Mud Siren (Fig. 22 ) consists of two mud sirens combined to produce one compact siren capable of generating two distinct frequencies simultaneously either in series or parallel. This will involve creating a unique type of motor that will be capable of driving both rotors at different frequencies. This is a focus for future work in this direction. 4. Conclusion The need for increased data transmission rate to be able to handle the increasing data generated in the field has been established and the Institute of Drilling Engineering and Fluid Mining (IBF) TU Bergakademie Freiberg has taken several steps in the right direction in contributing to this area of research. The application of the multifrequency mud siren concept to increase data transmission rates in mud pulse telemetry was investigated via simulation and experiments. ANSYS CFX simulation model simulation runs in series and parallel were executed. Analysis of the simulation results for the single mud siren and double mud siren operating with the same frequency confirmed the theory of amplitude amplification. In both the series and parallel scenario, the double mud siren generated far greater signal amplitude compared to the single mud siren. Simulation runs were also performed with the multifrequency siren operated with different frequencies (15 Hz and 39 Hz). Results showed that the signal transmission and reception was successful in series and parallel from two mud sirens operating simultaneously with different frequencies. Practical transmission tests in series and parallel showed that when the multi frequency mud siren is operated in a synchronized manner with same frequency and time slot, signal amplification between 35% to 65% is achieved. In the same vein, the multifrequency mud siren was tested with both mud sirens operating simultaneously with different frequencies and different timeslots in series and parallel. The transmission of signal by the multifrequency mud siren was successful and the received signal extracted. Furthermore, binary data strings were transmitted with the multifrequency mud siren in the flowloop. The aim was to mimic real binary transmission as done on the rig. Each individual mud siren transmitted a different data string at different frequencies. The transmission and reception of the data strings was successful within the flow loop both in series and parallel. The results analyzed on MATLAB and subsequent wavelet transformation showed good transmission and reception of binary data string. This result proves the doubling of data transmission rate (100%) by the plurality of mud sirens operating simultaneously at different frequencies. Declarations All authors contributed to the study conception, read and approved the final manuscript. All of the material is owned by the authors and/or no third party permissions are required. Funding declaration: not applicable I hereby declare and consent to publishing this manuscript. I also declare and grant approval as regards ethics and consent to participate. I declare that the authors have no competing interests as defined by Discover, or other interests that might be perceived to influence the results and/or discussion reported in this paper. The results/data/figures in this manuscript have not been published elsewhere, nor are they under consideration (from you or one of your Contributing Authors) by another publisher. The datasets generated during and/or analysed during the current study are not publicly available due university policies but are available from the corresponding author on reasonable request. References B. J. Patton et al. (1977) Development and Successful Testing of a Continuous-Wave, Logging-While-Drilling Telemetry System, Journal of Petroleum Technology, vol. 29, no. 10, pp. 1215–1221, doi: 10.2118/6157-PA. R. F. Spinnler and F. A. Stone, (1978) Mud pulse logging while drilling telemetry system: design, development, and demonstrations, BERC/TPR-78/4, 6900992, doi: 10.2172/6900992. Hutin, R.;Tennent, R.W.; Kashikar, S.V. (2001) New mud pulse telemetry techniques for deepwater applications and improved real-time data capabilities. SPE/IADC 67762. R. Hutin, S. B. Mehta, A. Battentier, and H. Yu, (2010) Multi-stage modulator, US20100230113A1, https://patents.google.com/patent/US20100230113/en W. C. Chin, (1996) Measurement-while-drilling system and method, US5583827A, https://patents.google.com/patent/US5583827A/en?oq=5%2c583%2c827 Berro, M. J. (2019) Development and Testing of Alternative Methods for speeding up the hydraulic data transmission in deep boreholes, TU Bergakademie PhD Thesis. https://nbn-resolving.org/urn:nbn:de:bsz:105-qucosa2-331064. M. Sommer, M. Reich, M. J. Berro, (2016) Mud-Sirenen-Anordnung, Technische Universität Bergakademie Freiberg, DE102015017138. Berro, M. J.; Reich, M. (2019) Laboratory Investigations of a Hybrid Mud Pulse Telemetry (HMPT) – A new Approach for Speeding up the Transmitting of MWD/LWD Data in Deep Boreholes, Journal of Petroleum Science and Engineering (ELSEVIER), Volume 183,106374 (https://doi.org/10.1016/j.petrol.2019.106374). Namuq, M. A., Reich, M. (2010) Laboratory experiments on pressure wave propagation in drill strings (mud pulse telemetry), OIL GAS European Magazine 3, vol. 36,119–125. Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 10 May, 2025 Editor assigned by journal 09 May, 2025 Reviews received at journal 18 Apr, 2025 Reviewers agreed at journal 15 Apr, 2025 Reviewers agreed at journal 15 Apr, 2025 Reviewers invited by journal 10 Apr, 2025 Submission checks completed at journal 10 Apr, 2025 First submitted to journal 08 Apr, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5808675","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":441200968,"identity":"e098322c-7424-4d9e-9a38-bddfa9fc31a8","order_by":0,"name":"Adetiloye 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4","display":"","copyAsset":false,"role":"figure","size":110993,"visible":true,"origin":"","legend":"\u003cp\u003eMud Siren domain (Stator domain and Rotor domain) with cavity\u003c/p\u003e","description":"","filename":"4.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/e711e34065d01e0720a54a5c.png"},{"id":80381472,"identity":"efa60570-93de-4f31-9898-14c7df9615ad","added_by":"auto","created_at":"2025-04-11 09:08:27","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":155235,"visible":true,"origin":"","legend":"\u003cp\u003eSection of the flow domain and mud siren mesh for the Laboratory model in series\u003c/p\u003e","description":"","filename":"5.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/4712e9480b260b5203a8a90b.png"},{"id":80380772,"identity":"ff6029fd-7d90-4f7d-8553-bc0efcd8fdbf","added_by":"auto","created_at":"2025-04-11 09:00:27","extension":"png","order_by":6,"title":"Figure 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8","display":"","copyAsset":false,"role":"figure","size":94032,"visible":true,"origin":"","legend":"\u003cp\u003eSimulation; Signal amplitude for Single vs Double Mudsiren in Series, 15 Hz, 1s – 3s\u003c/p\u003e","description":"","filename":"8.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/1f043aa6b829bf724327cb07.png"},{"id":80380776,"identity":"9e41a731-7036-4035-ab72-744f9108f90e","added_by":"auto","created_at":"2025-04-11 09:00:27","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":93524,"visible":true,"origin":"","legend":"\u003cp\u003eSimulation; Signal amplitude for Single vs Double Mudsiren in Parallel, 15 Hz, 1s – 3s\u003c/p\u003e","description":"","filename":"9.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/d8062aedf2cf699efba96e10.png"},{"id":80381480,"identity":"3bc58702-4cff-45c1-ac96-fe4e2a456b3c","added_by":"auto","created_at":"2025-04-11 09:08:28","extension":"png","order_by":10,"title":"Figure 10","display":"","copyAsset":false,"role":"figure","size":388221,"visible":true,"origin":"","legend":"\u003cp\u003eSimulation result for multi-frequency double mud siren transmission in series (1s – 3s; Siren 1: 15 Hz, Siren 2: 39 Hz) (OOK Modulation)\u003c/p\u003e","description":"","filename":"10.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/ebb6407be55179c13d0e18b5.png"},{"id":80381478,"identity":"421ce2af-a909-4c4d-98a3-caf3a3438907","added_by":"auto","created_at":"2025-04-11 09:08:28","extension":"png","order_by":11,"title":"Figure 11","display":"","copyAsset":false,"role":"figure","size":262306,"visible":true,"origin":"","legend":"\u003cp\u003eSimulation result for multi-frequency double mud siren transmission in parallel (1s – 3s; Siren 1: 15 Hz, Siren 2: 39 Hz) (OOK Modulation)\u003c/p\u003e","description":"","filename":"11.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/1b0444fa139d213d560f0e84.png"},{"id":80380782,"identity":"03f0b50d-526c-4a8d-a486-b4f3d0d0aac6","added_by":"auto","created_at":"2025-04-11 09:00:28","extension":"png","order_by":12,"title":"Figure 12","display":"","copyAsset":false,"role":"figure","size":419527,"visible":true,"origin":"","legend":"\u003cp\u003eFlowloop set-up for the Multi frequency double mud siren experiment in series\u003c/p\u003e","description":"","filename":"12.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/5dc50c7114760c6dfe50b53d.png"},{"id":80382174,"identity":"f1c932f9-0958-4a7e-b452-34820859e2f0","added_by":"auto","created_at":"2025-04-11 09:16:28","extension":"png","order_by":13,"title":"Figure 13","display":"","copyAsset":false,"role":"figure","size":632543,"visible":true,"origin":"","legend":"\u003cp\u003eFlowloop set-up for the Multi frequency double mud siren experiment in parallel\u003c/p\u003e","description":"","filename":"13.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/7602442e7cb807dadecc9d7b.png"},{"id":80381479,"identity":"3088ec6f-4557-4cf3-b517-60e80005fc21","added_by":"auto","created_at":"2025-04-11 09:08:28","extension":"png","order_by":14,"title":"Figure 14","display":"","copyAsset":false,"role":"figure","size":99810,"visible":true,"origin":"","legend":"\u003cp\u003eExperiment; Signal amplitude for Single vs Double Mudsiren in Series, 15 Hz, 0.8s time slot\u003c/p\u003e","description":"","filename":"14.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/8fcd9619a8ad93ac215a373e.png"},{"id":80380789,"identity":"85aab87e-ab53-4267-a29f-0cc6b832b788","added_by":"auto","created_at":"2025-04-11 09:00:28","extension":"png","order_by":15,"title":"Figure 15","display":"","copyAsset":false,"role":"figure","size":101454,"visible":true,"origin":"","legend":"\u003cp\u003eExperiment; Signal amplitude for Single vs Double Mudsiren in Parallel, 15 Hz, 0.8s time slot\u003c/p\u003e","description":"","filename":"15.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/762629043e2792aade9f1f79.png"},{"id":80381483,"identity":"7bff72ce-efc8-43e9-8fde-332960dc391b","added_by":"auto","created_at":"2025-04-11 09:08:28","extension":"png","order_by":16,"title":"Figure 16","display":"","copyAsset":false,"role":"figure","size":222363,"visible":true,"origin":"","legend":"\u003cp\u003eExperiment result for a Multifrequency double mud siren transmission in series using 0.6s time slot (Siren 1: 15 Hz, Siren 2: 39 Hz) (OOK Modulation)\u003c/p\u003e","description":"","filename":"16.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/80cd53f9293bc2ab266980fe.png"},{"id":80380790,"identity":"c18b50a8-01cb-45aa-8d56-fbd9af5db350","added_by":"auto","created_at":"2025-04-11 09:00:28","extension":"png","order_by":17,"title":"Figure 17","display":"","copyAsset":false,"role":"figure","size":279578,"visible":true,"origin":"","legend":"\u003cp\u003eExperiment result for a Multifrequency double mud siren transmission in parallel using 0.6s time slot (Siren 1: 15 Hz, Siren 2: 39 Hz) (OOK Modulation)\u003c/p\u003e","description":"","filename":"17.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/58dc4a32b881bec58db36cf4.png"},{"id":80380795,"identity":"4066ac3e-b836-4785-b7e8-269c944818e2","added_by":"auto","created_at":"2025-04-11 09:00:28","extension":"png","order_by":18,"title":"Figure 18","display":"","copyAsset":false,"role":"figure","size":237853,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cu\u003eTop:\u003c/u\u003e Pressure signal transmitted with 0.8s time slot from both mud sirens measured by sensor P1 in a Series set-up. \u003cu\u003eMiddle:\u003c/u\u003e Extracted signal after applying 39 Hz filter. \u003cu\u003eBottom:\u003c/u\u003e Extracted signal after applying 15 Hz filter\u003c/p\u003e","description":"","filename":"18.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/55e589060f24d5eb2eaa4e31.png"},{"id":80381492,"identity":"5adcd2a1-3cef-4d46-b0bd-728da43dca76","added_by":"auto","created_at":"2025-04-11 09:08:28","extension":"png","order_by":19,"title":"Figure 19","display":"","copyAsset":false,"role":"figure","size":143968,"visible":true,"origin":"","legend":"\u003cp\u003eCWT showing interpretation of extracted data string from both sirens (MS1 = 39hz, MS2 = 15hz) transmitted with 0.8s time slot in a series configuration (OOK Modulation)\u003c/p\u003e","description":"","filename":"19.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/4e59ac9841d7cb0c1438d1e6.png"},{"id":80380797,"identity":"94ddfb05-0192-494d-a76e-386813d00d26","added_by":"auto","created_at":"2025-04-11 09:00:28","extension":"png","order_by":20,"title":"Figure 20","display":"","copyAsset":false,"role":"figure","size":178768,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cu\u003eTop:\u003c/u\u003e Pressure signal transmitted with a 0.6s time slot from both mud sirens measured by sensor P1 in a Parallel set-up. \u003cu\u003eMiddle:\u003c/u\u003e Extracted signal after applying 39 Hz filter. \u003cu\u003eBottom:\u003c/u\u003e Extracted signal after applying 15 Hz filter\u003c/p\u003e","description":"","filename":"20.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/dbf8e8cea46a8e16d416eb18.png"},{"id":80380800,"identity":"9b973daf-5bd7-4bdf-8d21-87ee6ca1c01e","added_by":"auto","created_at":"2025-04-11 09:00:28","extension":"png","order_by":21,"title":"Figure 21","display":"","copyAsset":false,"role":"figure","size":327370,"visible":true,"origin":"","legend":"\u003cp\u003eCWT showing interpretation of extracted data string from both sirens (MS1 = 39hz, MS2 = 15hz) transmitted with a 0.6s time slot in a parallel configuration (OOK Modulation)\u003c/p\u003e","description":"","filename":"21.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/b3b5b1b0b2460382f190778f.png"},{"id":80381496,"identity":"c3913f7a-5097-4af0-8df7-b65f3213f5bd","added_by":"auto","created_at":"2025-04-11 09:08:28","extension":"png","order_by":22,"title":"Figure 22","display":"","copyAsset":false,"role":"figure","size":12736,"visible":true,"origin":"","legend":"\u003cp\u003eCompact Multi Frequency Mud Siren concept in series and parallel configurations\u003c/p\u003e","description":"","filename":"22.png","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/ddf41644bce2806ae81e307b.png"},{"id":80382928,"identity":"849346c5-1999-4460-b253-32e02bf6b699","added_by":"auto","created_at":"2025-04-11 09:24:29","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":4819413,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5808675/v1/faba5901-2fdc-438c-ab07-59435c5ccade.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Multi-Frequency Mud Siren Simulation and Experiment for Increasing Data Transmission Rate in Mud Pulse Telemetry","fulltext":[{"header":"1. Introduction","content":"\u003cp\u003eWhile drilling deep boreholes into the earth, we constantly have to monitor and control various parameters to be able to navigate safely to our desired target. In order to achieve this, logging and measuring tools have been developed to monitor various parameters such as the inclination, azimuth, temperature, pressure etc. Information acquired from these tools are encoded, transmitted to surface and decoded to be able to make real time decisions with them. Over time, though various means of telemetry have been researched and developed, Mud Pulse Telemetry (MPT) which makes use of the drilling mud in the drill string as a transmitting channel is the most common method of data transfer.\u003c/p\u003e \u003cp\u003eIn the seventy\u0026rsquo;s, real time-measurement while drilling (MWD) systems were introduced. One of such used a rotating valve mechanism to generate continuous waves using phase shift keying modulation [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e][\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e]. In the last 20 years, drilling depths have increased as well as drilling data rates. Thus, increasing the demand for higher transmission rates and quality for mud pulse telemetry. Innovation in technology has led to improvements in both pulser types and surface detection techniques. With progression in required measurements in the industry, transmission rates increased to 3bps in 2001 [\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e]. In 2007, the first oscillating high-speed shear valve pulser was released to the market and delivered a step change in flexibility by combining the advantages of previously available pulser types. Currently, the average data rate of mud pulse telemetry hovers around 10\u0026thinsp;+\u0026thinsp;bps.\u003c/p\u003e \u003cp\u003eThere are two main types of devices available for downhole pressure pulses generation in mud pulse telemetry. The first type is the (positive or negative) pressure pulser which transmits the data by quasi-static variations of the pressure level inside the drill string. The second type is the (rotating or oscillating) mud siren which transmits the data by generating continuous pressure waves at specific frequencies. While downhole sensors and decoding software have evolved, transmission rates have remained limited. Hence, the need for more research in this direction.\u003c/p\u003e \u003cp\u003eIn order to contribute to knowledge in this field, a flow loop was set up at the research laboratory of the Institute of Drilling Engineering and Fluid Mining (IBF), Technical University Bergakademie Freiberg. The flow loop is made up of a pump, an actuator, pipeline, pressure transducers and various mud pulsers and sirens. The flow loop was set up to simulate reality on the drilling rig as much as possible. The aim of setting up this facility is to study the transmission of pressure pulses in the drilling string and performance of various types of pulsers in improving transmission rates. The drilling fluid in this set up is water which is the flowing fluid just like the mud in our normal borehole scenario. A positive displacement pump takes water from a tank and flows through PVC pipes with four (4) pressure sensors installed along the flowline. Various pulsers and mud siren prototypes are installed along the line. The whole set up is controlled by LabVIEW Software and operates at a maximum of 10 bars and 40 m\u003csup\u003e3\u003c/sup\u003e/h\u003c/p\u003e \u003cp\u003eThe transmitting device prototypes available include the positive pulser, negative pulser and mud siren. The measured signals from the sensors are shown in time and frequency spectrum in the measuring cabin. Several parameters can easily be adjusted as well as the control of the pulsers and siren.\u003c/p\u003e"},{"header":"2. Multi-Frequency Siren Investigations","content":"\u003cp\u003eThe first idea of plurality was seen in a multistage modulator which included several valves operable serially for the purpose of amplitude modulation [4]. The signal strength of the generated pulse signal is multiplied by the number of stages in the series assembly. Chin (1996) [5]\u0026nbsp;also described a pulse generation system with plurality of mud sirens in tandem to enhance signal level and provide multiple amplitude levels to increase data transmission rate.\u003c/p\u003e\n\u003cp\u003eIn a previous research conducted in the IBF flow loop facility, Hybrid Mud Pulse Telemetry (HMPT) concept was developed and tested to increase data transmission [6]. This was a combination of a mud pulser (Positive and Negative) and a mud siren. This concept was developed and investigated taking into consideration the different trasmitting time slots of the mud pulser and mud siren. Combination of mud siren and the pulser was used to achieved a slight increase in data transmission rate.\u003c/p\u003e\n\u003cp\u003eSince the mud siren delivers a higher data rate than the pulser, it was decided to replace the pulser with a second siren in the HMPT concept.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eA patent was filed in 2016 by the Technische Universit\u0026auml;t Bergakademie Freiberg showing a multiple siren arrangement in series for multi-frequency transmission (Fig. 1). It highlighted the theoretical possibility of two mud siren rotors in series transmitting different frequencies.\u003c/p\u003e\n\u003cp\u003eTo generate at least two different carrier frequencies simultaneously, there would be at least two sets of rotor/stator in the assembly. The arrangement of the stator/rotor can be in series or parallel. Each rotor would be rotated at different rotational speeds hence generating different transmission frequencies. Another method would be to have two mud sirens, with different slot configurations and rotated at the same speed, this will also yield different frequencies. In this research, two mud sirens with the same slot configuration and rotated at different speeds were used.\u003c/p\u003e\n\u003cp\u003eHence, two mud sirens are working simultaneously, each transmitting data at different frequencies, thus resulting in a multi frequency transmission scenario with increased data rates. Prior to proceeding with experimental test on the flowloop, simulation was performed to obtain initial results and understand the characteristics of simultaneous frequency transmission in series and parallel.\u003c/p\u003e\n\u003cp\u003eThis research aims to deepen understanding of the multi-frequency siren concept with \u0026nbsp;numerical and experimental investigations. The selected frequencies used for this study, 15Hz and 39 Hz are based on on the suitable passbands available in the flow loop facility as recommended from previous research [6]. Arrangements of stator/rotor in series and in parallel were also investigated.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e2.1 Multifrequency Double Mud Siren ANSYS Simulation\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003ePrior to proceeding with experimental test on the flowloop, simulation was performed to obtain initial results and understand the characteristics of simultaneous frequency transmission in series and parallel. The geometry model was created using SOLIDWORKS based on the 2-way fluid coupling structure. The model contains the flow domain and the mud siren structure domain, with each domain having different characteristics(Fig. 2 \u0026amp; 3). The flow domain was designed according to the dimensions of the pipeline and the mud siren segment of the flow domain is hollowed out (Fig. 4). The mud siren domain \u003cdel cite=\"mailto:ADETILOYE%20Bamisebi\" datetime=\"2023-08-15T10:19\"\u003ef\u003c/del\u003eis sub-divided into the rotor and stator domain. The stator domain is fixed and stationary while the rotor domain rotates.\u003c/p\u003e\n\u003cp\u003eMeshing for the flow domain and siren domain were done differently because of the difference in size (Fig 5 \u0026amp; 6). The average mesh value was 0.8 which is acceptable for simulation.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTransient flow analysis was set-up for both the series and parallel simulation with a total time of 3s in timesteps of 0.001s, hence 3000 timesteps in total. Domains created include Default domain, rotor 1 domain, rotor 2 domain, stator 1 domain and stator 2 domain. The setup has a total of 12 interfaces since each rotor and stator domain contains 3 interfaces namely inlet, shroud and outlet.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe inlet boundary condition for the transient (unsteady state) simulation was a constant mass rate of 8.317 kg/s corresponding to 30 m\u003csup\u003e3\u003c/sup\u003e/h. The outlet boundary condition was average static pressure of zero pascal (0 Pa) which is default standard. The turbulence model option chosen is default k-epsilon and the domain motion was set to stationary.\u003c/p\u003e\n\u003cp\u003eThe rotor domain was set to rotate around the \u0026ldquo;Global Z\u0026rdquo; axis while the stator domain was set to be stationary. Each rotor interface uses a \u0026ldquo;general connection\u0026rdquo;, \u0026ldquo;transient rotor stator\u0026rdquo; frame change / mixing model and a specified pitch change of 360 degree. Convergence criteria was RMS residual target of 1e-4 and max coefficient loop of 10.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTo monitor output, default transient result and 4 monitor points were set up to monitor the pressure. Each monitoring point is chosen to correspond with the \u0026nbsp;4 pressure sensors in the real flow loop facility (Fig. 7).\u003c/p\u003e\n\u003cp\u003eSimulation was done to compare results for the single and double mud siren when operated with the same frequency simultaneously. The results for the series (Fig. 8) and \u0026nbsp;parallel (Fig. 9) simulation scenarios show that the double mud siren produced higher pressure values than the single siren. Table 1 shows the figures comparatively. Hence, validating that the multifrequency siren can be used to achieve signal amplification.\u003c/p\u003e\n\u003cp\u003eTable 1 ANSYS CFX flowloop model FFT amplitudes for the Single vs Double mud siren in series and parallel\u003c/p\u003e\n\u003ctable width=\"641\"\u003e\n \u003ctbody\u003e\n \u003ctr style=\"mso-yfti-irow: 0; mso-yfti-firstrow: yes; height: 25.15pt; mso-prop-change: 'ADETILOYE Bamisebi' 20230817T1037; mso-table-inserted: 'ADETILOYE Bamisebi' 20230817T0939;\"\u003e\n \u003ctd rowspan=\"2\" style=\"width: 86px;\"\u003e\n \u003cp\u003e\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 298px;\"\u003e\n \u003cp\u003e\u003cspan style=\"font-weight: normal !msorm;\"\u003e\u003cstrong\u003e15 Hz\u003c/strong\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 256px;\"\u003e\n \u003cp\u003e\u003cspan style=\"font-weight: normal !msorm;\"\u003e\u003cstrong\u003e39 Hz\u003c/strong\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 170px;\"\u003e\n \u003cp\u003e\u003cspan style=\"font-weight: normal !msorm;\"\u003e\u003cstrong\u003eSingle\u003c/strong\u003e\u003c/span\u003e\u003cstrong\u003e\u0026nbsp;Siren\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 128px;\"\u003e\n \u003cp\u003e\u003cspan style=\"font-weight: normal !msorm;\"\u003e\u003cstrong\u003eDouble\u003c/strong\u003e\u003c/span\u003e\u003cstrong\u003e\u0026nbsp;Siren\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 128px;\"\u003e\n \u003cp\u003e\u003cspan style=\"font-weight: normal !msorm;\"\u003e\u003cstrong\u003eSingle\u003c/strong\u003e\u003c/span\u003e\u003cstrong\u003e\u0026nbsp;Siren\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 128px;\"\u003e\n \u003cp\u003e\u003cspan style=\"font-weight: normal !msorm;\"\u003e\u003cstrong\u003eDouble\u003c/strong\u003e\u003c/span\u003e\u003cstrong\u003e\u0026nbsp;Siren\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 86px;\"\u003e\n \u003cp\u003e\u003cspan style=\"font-weight: normal !msorm;\"\u003e\u003cstrong\u003eSeries\u003c/strong\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 170px;\"\u003e\n \u003cp\u003e3.73\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 128px;\"\u003e\n \u003cp\u003e23.53\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 128px;\"\u003e\n \u003cp\u003e19.4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 128px;\"\u003e\n \u003cp\u003e160.4\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 86px;\"\u003e\n \u003cp\u003e\u003cspan style=\"font-weight: normal !msorm;\"\u003e\u003cstrong\u003eParallel\u003c/strong\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 170px;\"\u003e\n \u003cp\u003e2.199\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 128px;\"\u003e\n \u003cp\u003e30.06\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 128px;\"\u003e\n \u003cp\u003e12.43\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 128px;\"\u003e\n \u003cp\u003e94.99\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u0026nbsp;In a similar manner, simulation for the multi-frequency double siren with different frequencies (15 Hz and 39 Hz) and various arrangements (series and parallel) was done. Simulation results seen in Fig. 10 and Fig. 11 show the possibility for two signals with different frequencies to be propagated and received.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe top part (A) of the figure shows the actual pressure signal from the mud siren as measured by sensor P1. This is followed by the frequency analysis of the signal shown by the FFT amplitude (B). The frequencies seen in the frequency analysis are 15 Hz (mud siren 1), 39 Hz (mud siren 2) \u0026nbsp;and some frequency harmonics (30 Hz, 45 Hz, 60 Hz, 75 Hz, 78 Hz, 90 Hz etc. The third part (C) of the figure shows the extracted FFT amplitude for both mud sirens after frequency filters are applied. This is followed by the extracted pressure signal\u003cdel cite=\"mailto:Lukas%20Ochmann\" datetime=\"2023-07-30T16:43\"\u003e\u0026nbsp;\u003c/del\u003e (D) after filters have been applied. The bottom part (E) of the figures above shows the transformation of the filtered information signal into continuous wavelet (CWT) using a Morlet wave.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe Continuous wavelet transformation (CWT) can be said to be an advanced technique of signal transformation compared to the Fourier transformation. CWT helps us to visualize the frequency spectrum with their corresponding time ranges. The integral wavelet transformation of a function f(t) with respect to some analyzing wavelet \u003cimg width=\"11\" height=\"20\" src=\"data:image/png;base64,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\" alt=\"image\"\u003e\u0026nbsp; is defined as:\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA/QAAAHdCAYAAACzGTK1AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAOYnSURBVHhe7P39ayPX3T/+P/X9vUnGzk9prxA8DjS0YZdEzpbULmwgK3W3lJYrveTtlotAQjdyLwppU3trJ4Q3zW4iNddVCME3IYFQesVymw8tJXatDexCrYTuWgkSV0MvyI4oeffdn6RVbv6A+f5QvaZHR+eMZsaybO0+H2CSnTM3Z87dnDOaOZPyfd8HEREREREREY2U/5++gIiIiIiIiIgOPw7oiYiIiIiIiEYQB/REREREREREI4gDeiIiIiIiIqIRxAE9ERERERER0QjigJ6IiIiIiIhoBHFAT0RERERERDSCOKAnIiIiIiIiGkEc0BMRERERERGNIA7oiYiIiIiIiEYQB/REREREREREI4gDeiIiIiIiIqIRxAE9ERERERER0QjigJ6IiIiIiIhoBHFAT0RERERERDSCOKAnIiIiIiIiGkEc0BMRERERERGNIA7oiYiIiIiIiEYQB/REREREREREI4gDeiIiIiIiIqIRxAE9ERERERER0QjigJ6IiIiIiIhoBHFAT0RERERERDSCOKAnIiIiIiIiGkEc0BMRERERERGNIA7oiYgOSKvVQqlU0hePvLW1NX0REREREe0DDuiJiA5ApVLB3XffjT/+8Y960EhrtVp49dVXMTU1hUajoQcTERER0QBxQE83hFKphLGxMX0x0aFUKpUwMzODfD6P5eVlPXikjY+PY3d3F1NTU0in06jX6/oqRERERDQgKd/3fX0h0aioVCp49NFH4XkeAIDFmQ67er2Oo0ePWgfzpVIJp0+fHvmy3Gq1kM1m0W63ceXKFYyPj+urEBEREdEecUBPI2trawtvvfUWnnrqKbz22mu4cOHCyA+C6MbWarVw7NgxALAOcqempjA+Po7t7W09aOTIzYtcLndDzhVAREREdND4yD2NrJMnT2J5eRkTExO49dZb9eChqdfrmJqaQiqVwuTkJLa2toDO4G1paQljY2NIpVKYnZ3lO8U3uddeew2e5+H111/vGcyXSiVMTk6iWq2iXC4jlUohlUoNbCAsv5jLftW/ubk5ffWBOHLkCAqFAjY2NoJ6QURERESDwwE90R60Wi0cP34cjz/+OHzfx+uvv45nn30WlUoFZ86cwcWLF1GtVuH7Pu677z7kcjl9F3STaDQaWFhYQDqdxvT0tB6M2dlZvP766wCAzc1N+L4P3/cxOzurr5rImTNnUC6X9cUAgLvuuktfNDCPPfYYHMfBD3/4Qz2IiIiIiPaIA3qiPiqVSvAL/NjYWNcvpm+++SZOnDiBs2fPAgCmp6exsbGBb37zmyiXy3j11VcxMTEBAJifn0e73UalUgm2p5vHa6+9BgD48Y9/rAcF3n33XQAIHstXVSqVnl/WTX+m8lWv13Hbbbeh2Wyi2WzCcRysrq4GNw3m5+fRarV69qX/mfbdz/j4OGZnZ+F53sCeNiAiIiKif+CAnihEpVLBN7/5Tbz66qvBxHsfffRREP7JJ5/gvvvuU7YAJiYmMDY2hnw+jyNHjnSFTU5Odv2bbh4rKytwHCf0F/dLly4hnU73PI6Pzs0iGYCH/Zl+/T9y5AhKpRLGx8fx9ttvo91u4ytf+UrXOn/5y1/gOA5qtRp834fjOMjn8/B9Hzs7OwCAe+65p2ubqOSGlzyBQERERESDwQF9R6lUwtTUFNbW1vSgG9ra2hqmpqb4y5nFo48+GgzMJyYmcP36dczPz3et89e//rXr36VSCdevX8f169e7lgPAtWvX9EUHJkmZZ3lJplQqod1u48SJE3pQl3K53Hedvfrd734Hx3F6bja9++67QVmv1+tot9v42te+BnRuJriui/HxcdTrdUxOTmJsbAyVSgVbW1uYnJxEKpWyzhFx5MgRuK6LcrlsXYeIiIiI4rvpB/QyUdTTTz+NH//4x8EvSTeLs2fP4sc//jGefvppZLNZtFotfZWbVqVSged5+OpXv6oHBR555BFcvHgxeBS5Uqlgbm4Ozz//PMbGxjA3Nxek6dLSEhzHMf6CulcyOJdHo8OeBNhLmWd5SeaPf/wjAOBb3/qWHhSQMnTvvfcGy/YjfS9evGh8SmB+fh7nz58HAPzpT38CADzwwANBuNyM+vWvf40rV66g3W7jySefxP/9v/8XV65cATpPp9jIjYq3335bD4ptbm6u61UAIiKya7VaKBaLmJycRL1e14Mj4Q19osNraAP6YrEY6X1MmYVZDzO9P1osFrvWiavVauHuu+9Gq9XClStXjJ3cm8Hs7CyuXLnSlR6jpNFo4NKlS0DnU3aD8oc//AEAcMstt+hBgYmJCbz00kt49NFHkUql8Oijj+L555/H2bNnsby8jLvuugt33303UqkU3nvvPWxsbOi72LO5uTnMzc3hF7/4BXzfRy6XQzqd1lcDBlTmR728qNbW1pBKpWI9pZCEdIDUAbLNJ598glarhbm5Obz55pt68J40Gg20223cddddqNfr1vy/fPkyXNc1DtBl0I/OIP3s2bMYHx+H3+eTkfJr/+XLl/Wg2JaXl7G6ugoAyGQyejAREXXU63UcO3YMly5dwuuvv97zdJaQQb/tJilv6BMdYv4Q5fN5H4APwK/Vanqwv7OzE4Tv7Ozowf7q6moQns/n9eDY0um07ziO32w29aCbUrPZ9B3H8dPptB50aEl50P8KhYK+amyZTMZaFg8LqROrq6t6kNEgy/wolhedtEmm9mhQarWaD8B3HEcP6tJsNoMy57quv7m5qa8yEOl0OmhDbeXAcZzQNlbaas/z9CCrqOkQ1ebmpg/AX1xc1IOIiEhpq8Pac9/3/fX1dd9xnKAPFabZbA60L0FEexdeawesUCj4APxMJqMH+b4ygLINoqRhsm0fx/r6uo8BDfxuJJJH6+vretBNJ8qF7aC5rusDiHRRjVPmZaDbb7+jXl4k/faTpPsg2q1hkIF3WJ4WCgXfdV19cV9Sp+LcCLCRsme78eG67kjfbCIi2gvP83zHcUKvPTs7O0FbqfbB+7kRbugT3UiG9sg9ADz44IP6okClUkG5XA79Trd80qlQKOhBsT399NNA5xvJ9E+SHpI+dHhtbW3B8zzrrOi6qGW+1WqhVCoFk6CFGeXy0mg04Hnevj+yLV9FMD2+fhjJt+rDXjWR2fjjcl0XAPD3v/9dD4pNXrP54he/qAcF819MTU3pQUREN4UXX3wR7Xbben1utVp47rnn8Prrr2N3d9e6nsn4+DjOnTuHarXKd+qJDoGhDujDPPfcc8jn8/j444/1IKDT8LzwwgvGT4HFVa/X4Xkecrlc3wHLzWZ8fBy5XA6e5yWeOOVGoM/hcNg0Gg289NJLABBp0BK1zLdaLTzzzDNot9uRBmz7UV7C3uEbpP/93/8FADz00EN60EDJwPOuu+7Sgw6dtbU1LCwsAABOnTqlBwfK5TKOHz+uL+5LJmuUm7N7cfXqVeN7/o1GA08++STQmV2fiOhm02g0sLKygnQ6bZ2Id3x8HNvb29bwfkb5hj7RjeZQDOjl1/mnnnpKDwo888wzAICf/exnelBs8guU/v1wE5mcSj7LlEqlMDY2hmw2O5BBX6vVwtLSEsbGxnom/ZO/bDarb7avJF0knehwWVpaCj4Bhs73zaWs2O6URynzxWIRt99+O1ZWVgAAGxsbXeXQZtDlJexJnjik7kqd1W84vPPOOwCAL3/5y8EymZRzvyfJO6zOnj3b9U17G9/3Y30dYS9k8j5pIycnJ7G0tGS86ZTNZuG6LqrVKgDgiSeeOLB2lIjooMjXRB5//HE9aGD244Y+ESVzKAb08uu8/kuLkDuN586dC/11MSr5xSzKwCGbzaJUKuH111+H7/toNpuYnZ1FuVzG3/72N331WFqdz4dduHAB7XZbDw7cf//9+qJ9Jeki6RSFDITi/rGTHd/58+fh+34wmPE8LxiA2WYtj1Lm5+fn4ft+8Ah6rVaLNLhLUl50S0tLWFpaCmbNlXOTb5wnuXn2gx/8AGfPnsXm5iba7Taef/75rvD33nsPAHDs2LFg2W233QZ0ZpofFDkn9cbBzUqehvjrX/+qBxmVSiUcPXoUnufh8uXL8H0fr7/+Oi5cuAAAPU8JbG9vB2XVcZyu8ru9vd21LhHRjeq3v/0tAOBLX/qSHjRQg76hT0TJHPiAPsqv8y+++CJc18X8/LwetK8qlQqq1Sry+XzwSNL4+HjwlECUT1CFuXLlClzXDQZOnucBAHK5XFdHVP1M1GElHem4f4e1k73XmzX7rdVqoVqtwnEc642wpMrlMhzHGerjyj/60Y9w55134syZM3j33XfRbreRzWbxve99D88991yiRwJLpRKOHDmCTz/9VA8COuepzz8Q9gRDUvJrcdg76TebRqOhL+pRqVRw+vRppNNpbG9vB+Vxeno6uOFj6qzKzR/57j0R0c1GBthJrp1xDOKGPhHt3YEM6K9duxb8f79f5yuVClZWVvDcc8/pQUOzsbHR9b1N+eayLc5RnTx5Mhh0QHlESv/V6Wan/6q/178oZCKzw+rKlSvAPgxaZDC015tVcY2Pj+Ps2bNYXl7GK6+8As/zcNttt+HDDz+0PnUQ1R//+EdAG6zLeUaZf2AY9DI6yn+D8uijjwIAfvGLX/Q8mSVPNJk6q/J+/n7cnCEiIiI6bIY6oJfOl/wSLb/Of/e739XW/KfnnnsOmUwmcqc+m80O7DFu+SXI8zwcO3Ys0WO/cVy+fBkA8JWvfEUPIury5z//GdiHQYsMhvZ7ojhdq9VCsVhEOp1GLpdDOp3G2NgYnnnmmT2/m3fx4kUA6JrNXs7za1/7WrBMFfZqAu0/maXedd2eQXur1Qr9OkGU10uIiIiIbhRDHdDr3njjDWQymZ4Om5ABf5wZNMvl8kAHI9vb28GkHzMzM5idne36tX6QNjY2gD4zM4dNnid/UR5nHSX6Y/p7/bsR7Neg5f333wf2Yb/9/Nd//Rc++eQTfPjhh/j6178OAFheXsZ3v/tdPP7444lvpsngT3+FQM5TfxLh/fffh+M4PW1SvV7H1NQUUp0J9paWlrrC90ovo6P8Nwhyw8X0GVN5OsU2t8jVq1cBy6/3RERERDeaAxvQy0R3YYP1Rx99tOv99X6k0x91MGJ7t1Y1Pj6OUqmEnZ0dpNNpbGxs4MyZM/pqeyZxt/3qhE6atdttbG5uwvd9rK6uAsrkZYuLi8bPOMUVJV10nBRvuJK+H9cvb+XX7HvuuUcPsuq3zyjOnz+P8+fPB49Wy3vn09PT2N3djX2e4i9/+QtgGLhfvHixZ/6BVquFixcv9jwN1Gg0cPz4cZw4cQK+7+P3v/89Lly4EHlQL99ep3+SyQdt5IbVvffeqwfhrbfesobV63Xj7PdEREREN6oDG9C/+OKLob/Ov/HGG7h+/XroZHm6Dz74AIgwGJFf8OWx5Simp6exvb0Nx3H2ZTbPKI86X716Ffl8HidPngQ6j+irvzx+/etfH0hHVtIlLC66G21SPHEYB2PyCHqcvI5S5mUw5LpuzzvLYZKUlzCD+EZ5GLkxps8/8NprrwFAT5vz4osvAp2bDui0BblcDhcuXIj0tM4gv70+6uTJiKivinzhC1/o+ne9Xg8+q6jfpAGAP/3pT8AhmhuBiOggRblG7cUgbugT0d4d2IC+36/z8pk606/N8imrVCqFra2tYPnly5e7Zq2enJzE2NiYsuU/yK/gYbNyzs7O9nzTe3x83DrAm52dRSqVQrFY1IMiifKo8+zsLJaXl4N/V6vVrk7t9PR0EGc9jdRvcssAw0bSJexpgZtFv7Q6CEkGLVHK/GeffQZo5yzlJsygy4t8Pm8QPve5zwFap0YeyVYHlaVSCQsLC1heXu5pcy5evNgzeJRt5QkAiubjjz/WFxnJL/jq1yZarRaef/754EaWnk9QPjd41113Bcvq9XridpmIaBTJ9Xi/r1GDvqFPRMkc2IA+7Nd5dL4h/Nhjj+mLgU4DIjPl//KXvwyWX7x4setXt3Q6bfy++5EjR+C6LsrlsvXu5cWLF/H0008Hv4a2Wi2sra2hWq1icXFRXz3yL0420tH99NNP0Wg0kM1mQycDazQa8DzP2Ig2Gg289dZbwbum77zzDp555hk89dRTWFxc7PllUtVqtVAul+G6bui7/IdNo9HoeZzf9hdHv0eDD4JMnmib0M0kSpm/4447gM6At9FoBOUw7DiHvbwcOXIE+Xwe1WoVS0tLaDQawaz3Dz74ICqVCubm5jA3N4f19fWex+2hTOKpkm/KR/m8odTRQX7bflRJ2ZP0s/nWt74FAPjd736HVquFRqOBM2fO4Kc//WmQH61WC6VSqSvP7rzzTqBzk6nVaqFSqeBf//VfB3aziYhoFHz7298GYjwZ1mq18MYbbwT/Vn8sCzPoG/pElJA/ZJlMxgfg7+zs6EG+r4Svr6/rQV08z/MB+IVCoevf6naFQsG3neL6+nrX9qpms+kvLi4GcZG/dDrtr66u6qv7vu/7+XzeB2AN76dWq/mO4/gA/FwuZ00fIfHvtx4A33Vdv9ls6kFGkmb90v+wWV9fN+ZlUpIOg9znoLiu6wPwa7WaHhQqrMyL1dXVoBxmMpm+5WtUysvm5qafy+WCc1PrdKFQCK0fkhaqnZ2dvmkpVldXjfu4GUm6Rym7i4uLwfr5fD7IIylzjuN0LRfSFst2nud1hRMR3eikT5xOp/WgLtIvsP05jmNtr5vNpo9OH5OIDpZ5tDsCpBGShkb+rXbecrlcaCc6nU77juMMpMM3yH1FIZ3WMDLoiDrY8jzPdxyn7wXgMMrn830Hn3Ec1oGqXKQdx9GDIhlkOR3F8iIdkLB2QWdaX+rW5uZm13ITWTdpnt0opOz2a7eIiGjvpJ84yL6R6rD2k4huRgf2yP1e/c///A+gfOLtf/7nf7pmrW51Zqx+9NFHu7ZTyWficrmc9THkKCqVCqrVqvH92/2yu7vbd1I0edTq4Ycf1oN6tFqt4BNRki6j5OLFi6GvcMQlj5Hp704fNHn/2/RoeBSDKvOjWl7kfULbJ89MHMfRFwUTcN5yyy16UA8pl+12e09pPur+93//F+CjmUREQ/HUU0/BcRw8+eSTetCeNRoNvPDCC0in04n7I0Q0OCM7oH/vvfe6JqjT359/5pln4LpuaEMzMTGBDz/8EABw7Nixnknwonr55Zet79/uh1arhWq1GvouPDqDUnWSQJtSqYRjx44BAD788MOh3ZQYlHq93vfmRhKD+AQgACwtLWFsbAypVApzc3PBoK5SqQTfNp+cnMTa2pq+aY/f/e53AIDvfve7elAkgyjzo1xe5CaX6ZNnNidOnOiZe6Berxu/V28jNz9kXoub0TvvvANw8iQioqGYmJjAr371K1Sr1b6T28Yxqjf0iW5o+k/2o0Ie9ZF31uX/a7Wan8vlfNd1re/9mKyvr/vpdHokHh2Sd3IXFxf1oC7ovEMaZpTO26ZQKAw8/o7jJJ4PQVUoFPx0Ou17nuc3m02/UCgE76ar5dfzPN913dBHuOW1kn55GlWSvE+yzWEi82LEeeVA8krSPc7780Lq7KDybhSl02kfEd+fJyKiwZA5mqLMi9PP+vq677qun06ne+YvIaKDM7IDer/TSZZOovy5rtt3kqtRJoMJ+bMNAOO+Pz/KMplMzwCt2Wz6uVwuSCfHcfxcLte1jiqTyQThUq50chOp35/KNKGMTPalx2d9fb3nXW1fm3gmziCSejmOk+hd9s3NzWAywiT5cNCTBy0uLnZNCGiqM/tJ3p8/qPMnIrqZyQ8KrusmbvtH/YY+0Y1spAf0QgZaN+ognuyazaZxkJDJZPxMJtM1M7Y+gFapg3/TzNlJ6QN83zKBo9+5CWMa0NONYb8nKLIpFApdEyHu7OwkuqmxF5w8iYiIiGh/jOw79Kq//vWvcF2377viNLoqlQqy2SwqlUrX8itXrgTvcqmuXr2K2267LSgT8/Pzoe+Ll0oldG5wYXl5eaBlqdFodP376aefhuM4+Oyzz7qWR/mmOY0umfdA/dbvMLz//vsYGxvDrbfeCnQm6bt+/bq+2r565ZVX4DhOpAk6iYiIiCi6G2JAv7u7i8nJSX0x3SDW1tbw7rvv4urVqz2Dobfeegtf/epXu5YBwPLyMjY2NjA5OYmtrS09eGgWFxfx4osvotVqodVqBRPT/P73v8e//uu/Bjco6vU6nn76afzwhz/U9kA3iunpaeRyOaysrPTc5NlPP/3pT3H9+nXcfffdKBaLevC+K5VK8DwP586dG+iNMiIiIiIyPQ88ghBzgioaTfLYrvqouulxe1Gr1YJJ0PpNILhfms1m8Kg1Ou/NS/zV+A1qEj463DzPCyYnGia1HJrmh9gv8krMMI9JREREdDNJ+f8YEBMdeo1GA67rolAoYH5+HvV6Hc8//3zPo/STk5O4du1a8O+5uTmsrKyARZ0Og1KphNOnTw/lU5fZbBbLy8vBpwXl2Ds7O5E/ubcXc3NzKJVKuHz5Mo4cOaIHExEREdEe3RCP3NPNYWJiAvl8Hi+88AJarRb+9Kc/4fjx413r1Ot1eJ4XDPIbjQZ2d3eRyWS61iM6KLOzs8jn8zh9+jTq9boePFBXr17Fiy++CHS+HfzHP/4RjuPgnnvu0VcduFKphJWVFSwvL3MwT0RERLRPOKCnkfLUU0+h3W7j7bffxuXLl/GVr3ylK/xzn/scMpkMTp8+jVQqhXQ6jampKfz3f/9313pEB2l5eRmFQgHHjx/vecJkkE6cOIFSqYRUKoXbb78d169fx+XLl/f9XfalpSXMzc0N5SkEIiIiopsZH7mnkZPNZoNH6tVH64lGTaVSwcsvv7yvg/pha7Va+MEPfoALFy4Ej/oTERER0f7ggJ5GTqVSwczMDPL5PJaXl/VgIiIiIiKimwIfuaeRMz09Ddd18Y1vfEMPIiIiIiIiumnwF3oiIiIiIiKiEcRf6ImIiIiIiIhGEAf0RERERERERCOIA3oiIiIiIiKiEcQBPREREREREdEI4oCeiIiIiIiIaARxQE9EREREREQ0gjigJyIiIiIiIhpBHNATERERERERjSAO6ImIiIiIiIhGEAf0RERERERERCOIA3oiIiIiIiKiEcQBPREREREREdEI4oCeiIiIiIiIaARxQE9EREREREQ0gjigJyIiIiIiIhpBHNATERERERERjSAO6ImIiIiIiIhGEAf0RERERERERCOIA3oiIiIiIiKiEcQBPREREREREdEI4oCeiIiIiIiIaARxQE9EREREREQ0gjigJyIiIiIiIhpBHNATERERERERjSAO6ImIiIiIiIhGEAf0RERERERERCOIA3oiIiIiIiKiEcQBPREREREREdEI4oCeiIiIiIiIaARxQE9EREREREQ0gjigJyIiIiIiIhpBHNATERERERERjSAO6ImIiIiIiIhG0EgN6CuVClKpFFKplB50w2m1WigWi5icnES9XteD91W9Xsfk5CSKxSJarZYeTPsom80ilUqhWCzqQbFJGapUKnpQqHq9jtnZ2aCujY2NodFo6KsdKo1GA7Ozs/rigabnQclms5iamtIXHyhpi7e2tvSgA5G0rB9mUv8GcU629CkWi0ilUshms13L6cZhaxtvVtJ2JS3zg2j7DmObfpiwXRotlUoFS0tL+mIaspEa0N8s6vU6jh07hkuXLuH111/HkSNH9FWMZBC21xsAR44cweuvv45Lly7h2LFje94fHYwzZ85gYWFBX9zX8ePHsbGxAcdxkMlk8MADD2BiYkJf7VBxXRcbGxv64pFXLBZRLpfxi1/8Qg86UNPT08jlcvje9753KG76JS3rNwumz83rRm0bD0Kr1cI3v/lNZDIZnDx5Ug+OrFAooFqtjvSNZiJ0BvMzMzN477339CAaMg7oD5lKpYKjR4/ixIkT2N7exvT0tL6KVbVaheM4kW8AhJmensb29jZOnDiBo0eP9vyyQzemer2OdrsNAPjwww+xvb2N7e1tfbWRsb29Dd/3MT8/rwcdeo1GAy+88AIymUysdmBYLly4gHa7jR/84Ad6EI2I+fl5+L4/0nWcaFj+67/+C+12G08//bQeFMuRI0eQz+exsLDAH0yIaCA4oD9EGo1GcPd3eXlZDw7VaDTgeR4eeOABPWhPlpeXkclk8M1vfvPQP3ZNe/fZZ58F/z8+Pt4VRsP14osvDqTzuF8mJiaQz+exsbHBG35EdENrNBq4cOHCwG6wPvXUUwDAJ2eIaCCGMqCfmpqyvnMk78qkUinjo5tjY2NIpVI9g0n1HXPZfnZ2NvRuZ6VS6Xk3eG5uzriNxKtYLKJUKgXxmJqa6opLo9HA3NxcEC7xMJ1rP3vpwF+9ehUA8NBDD+lBe/b000+j3W7jxRdf1IOGptVqhZYTeVfa9F5avV5HKpXC5ORk1/JSqYTZ2dmuvJucnMTc3FxXHss7c2NjY13bq0qlkvH4pnI6NTWFtbW1rvWiiFrWJL7lchkAMDMzg1SE98hTqRRmZma6/p3qvMMr+0xZ5q+whUu+yD7U+jc1NRUapyjnK/VUqHFGn3fo6/V63/2r1PMrlUpBu5bqvOtn2y6JRqOBlZUVpNPpgXQe98vZs2cBAC+//LIeNBT9ynrUdjxqWwDtHVy9fo+NjYVeh/RyI8ewrW8TNb5R08f0rmqr1cLS0lLktkvWgeE8k9QPte3Y2trq2t/s7GzoTaSo6QMtP2X+GFlfjXOlUsHc3FxXekh+m+Kit31q/KempoJtWq1WVzsk89fY6O2orR/Tr20UUfeHGPXJptVqYW1tLUgbNT2Khjl71OPp1wPJT30bIXPBqHGMWwZV0v/54Q9/qAcBhjLfr25PTEwgl8uhXC5b1xkWUxkIuxbCso3tfOPmez+mtF5aWoq9H9kenbKmtuOmtkLEPZ+o9SZOuwUt/mtra11t0+zsbLCN1AU1nmF5GzV9s9ls0Gcsl8td8VFF3R+0dnNpaanrfKgPfwgKhYIPwF9cXNSD/Ewm4wPwAfibm5tdYTs7Oz4AP51Od/1blsl/M5mM7ziOD8B3HMev1Wpd+/F9319cXAy2dV3Xz2Qyvuu6wbL19fWu9SXO6nHS6bTvum6wzvr6etdxM5lMsD4AP5/Pd+0zjOd5Xecal5zfzs6OHjQQcl6e5+lBVmre9vvLZDL65j1kf3o58X2/a1/NZrMrzFT+8vl8sL6UITXvHMfp2o+UFdOxfd/3c7mcD8BfXV0NltVqta4ylslkutIknU73xFXCC4VC1/I4Za1Wq3XVCTk/vYzr9H1KfGu1WlfdM7GFy/lIeveLu1hfXw/CZRs1LSUv19fXu9JUjbPfJz3D9m+KkxqGiO1IUlKf1fJ0WMn5R2kb1HIS5a9fe9avrEdpx+O2Bep1Sd2vGg/TdUg9jpRTWd90rrblceIbNX0yWvtbq9W64qYfI21ouyRsUPVD6q7edvTbX5z08ZX8dF3XdxwniDeUMq22FxIu68ifnk9R4r+5uRmksx5PU38pTj+mX9sYd39+xPpk02w2u85P4qMeL6OVQzleLpfrSif1vExlcXNzMwjX013yQz9WmGazGezLJG7dFlKuTNcbE/W8+/1FPT+1bEt9UfNEv3b62vlKuVHPV+0n7SXf9eXNZrMn79Vjm9rdMLIfvc0K299ezies3sRtt/yI8Ze6oNcDGPqzcdN3cXExiKPsXz33uPvzlTIu+5U4R60jNzNz73zAarVakEE6yWgYLmBysZEGRe0MOo7T1UiqlSyXyyl7+WfjLoVbtbq6GuxT7ZBKBdTjJRXK87ygUOoN3s7OThCmXxBtJB62Drx0zCQd9Yot564ul/jrFSaJfvEzUStyvz+9ATSROOjlRB8k6HksaSPlRS5gpsZE7ciq5ypl0dSoyMUeWvqr5VFd7nleEKbvT9JMLVNJy5rsy9aZMFHTMspyYQtXy0A+n+9KB7UjoeaD3Nwyna9tG9OxfUt6qnHVy7OanvqxZRvTdmqnfRDkoquXT79T3hYXF4N4mv6i1KdBkXPX08REr6v9/qKWXVtZ79eOJ2kL1HOIeh2Sa6Druj03PiT99OujKQ2SxNePkD56J0z2o9dZte3Sy5jE13T8JPVDbTsymUxXPNTr9l7TR81P9TjqtV7C9TbWlt++oe2zhaXT6a4yIeemp1WSfowf0jYm2V+/+hRGLef6+rZ2XT2enk62/NTLr0rdn15+w0j89Dz2E9ZtIWVLz2sbtdz0+4t6fpJWetug5onpum0qN6Z6vpd8189B+mHpdLpr/Waz2TWojUpNL708q+eixnsv52M6jrpdnHbL1+Kvtk1qHYChHZcfoPTynCR9pf3U88pPuD+1jOs3hihcbyu/T6SDqjZ4akEwFQi9U6teePULq69coPQCIvvRK4OQgqU2/moFNJFt9AohpILqcbGxdbj8TkGWjoZUEP1cYLho2BrqJMIq7bDIxU9PU7Xxh2EwDO0CUygUfNd1e9JQmAbvpv0I08VezX9TQ6R2EtU6YTqHpGUtrEzZqHUsynJhC5c46HET0hlW67Ocr62s5fN5P51Od21jOrZvSU+5mKn5q1Ivrio5hmm7pnJTR+/UxaWWDV1T+3XA9qff9NpPkl62/BoGW1nv144naQuSXIdsHVRfKTt6mBxDPack8fUjpI96bBnM2eqsWj7VTpos04/tJ6wfatthakNt1+246aPmp54+fic/0+m0tf015bffp+1TO/6m9DClb5J+jB/SNibZX7/6FEZ+ZdcHLMJ0LVCPZ0onU35K+dX7Q0Laf72+hZG0UK8jwlSHhK1uqyQfTGVvv9mu2yLd+SXZVA5NaeF3wjPKkyB7yXc13WztjkriZmqXTWR/trpt2t9ezseWzknaLb9Pmytl1tT+SL6rfZyk6WsbGyTdn7Sb+v6ov6G8Qw8AJ06cAJR3vQHg3XffBTrvaKPzDoZodCZ5c13XOGu76X2KW265BQDgeV6wrF6vB/9+5JFHguWq7373u0DnPQ9dJpPRFwHKuv/+7/+uBwFK/DzPM75TpJNzN70vOz4+ju3tbYyPjwczkKvknThJYzHICfIkXmoeDdvExARc14XneV3vE126dAlQypH8G0p5U8vL/Pw8rl27Frz/q7v11luBThkUExMTSKfTaLfbPe8e/ed//icA4Fvf+law7He/+x0AIJfLGSeXm5iYCMrW22+/rQd3GXRZOwi5XE5fBCgT73300UfBsosXLwIh7youLy9jd3fX2AZEIZ9wsuX/7OwsHMdBu93ued8UAL7xjW/oi7ry+O9//3tXWFz/+7//C1janitXrsB1XdRqNfi+H7RtuVwOnRu08H0f58+f1zfdN1/4whcArW0/bExpiYRtgerhhx/WFxmvQw8++CDQaT/lfWAxPj4OP+JM83uNbxS//e1vAQA/+clP9CBAefcXluvBoOuHrQ01Xbf3mj6m6+/Jkyexu7tr7B/Akt8qU9sndcZxnNBPgsokpXvtx+j2uj9bfQpTKpVw/fp1Y38OlmuBSKfTxnQy5aeU38cffzxYprJdR8Ps7u4CSj1W7bVuT3bm9vnggw/0oH2nlvdZw9wfu7u72N3dDfJM+uUA8Nhjj3WtK65du4bt7e1gm73ku0r6Sel02rqv73//+4DS/4rKViZM+9vL+djqzV7bLVObe9dddwGd9LJRxxODTt+97m8/5gO70Q1tQC8F7o9//GOw7De/+Q3QaVSk0EkHWgqD6WIYhzpr95kzZ5DNZnv+nnzySUAr3P3Ius8++2zP/uRPqHHYKxnsfOlLXwqWyY2Re++9N1h2o5LyIIOHVquFcrmMTCaDe+65B9A6mdJQmBo8UelMulQsFjE7O4sXXnhBXwVQOghvvfVWsKzRaASfC1QHmB9//DHQGTzq5UL+5Bw++eSTYDuTgyprgyQXpCikwyAd5UFSOyy2iwyUm2FSt1T7ES/Vn//8Z31R4OTJkyiVSkHcpZ08fvy4tubwSL2L034eVlHbAmEaaJpMT08HnbmFhQW4roupqSksLS0ZbxpFFTe+UUi7pF5jdPfddx+g3TwVg64fX//61/VFgDIYabfbxsmVsE/pU6/XUalUUCwWMTc3h0cffVRfpUtY2xf1pvug+zGD3l9crVYLlUoFpVIJxWIR2WzWeHNIRK1n6AwoEVJ+v/jFL+qL+qpWq/qiwF7r9v333w9E6Afsl0KhAHT6KkePHg0mYdva2uqpV+rNuDh5IuLmu0rSx/O8nrIqf6+88gqg9L+iOnnypL4IUG7W2G7W7eV8wsRtt8LaXGmr+xl0+g56fxSB/pP9flIf8dAfRdIfaZLHotR3KPo9HmQKV5dF+ROmR35U+nZhf1EepdKPb2J77FseUdEfSZPlgxIljio5fpQ/WzrrJD/lESl53FHKjf74mrx2oD+yKY9R6vFAJ31NcZIyq6a/PN6nP/IU59zVR9dkO3WZvn7Yn1rWZF9Ryp8w1aGw5cIWbjoflSnctJ9+bNvo+7fFU6dv5yvHsKVnv/Co+rU9KmknbY+0DUuUNPUTtMdR09JW1qOkZdy2oF8ZsoU3m83g0Ur9OK7r9ryPKmH6OcWNrx8zfWzHVSXZrl+4zhZnlWmfcdPHll+qWq0W1DX9T/apb29qQ4QcU88nIfuT84pbb0z7UiXdnynf47CVfyjpqKZXv+OZwmV//cqNbZ8m/fYZt26r5BxM5UQnZSrKX5zzW19fN9YZx3G64tWv3NrY0kaOgQj5Lsui/EWNn6xvY2sbBnE+urjtlt+nXIaVK9N5JU1fW5lIur+wdpPCDe0XenR+XW2326jX67hy5QqgPFbxta99DQDw/vvvA527hY7jWO+cxZVOp+Erj6Ta/uJqNps9+9D/TI/xJSGP4uqP1l+9ehWu6/Y8knb16lXjEw6lUqnr0zymR+oOq+npaTiOEzyp8M477wDKnVRJmw8++ACVSgXtdrvnkc1SqYRTp06hWq0inU5jcXERq6ur2NnZQbPZxLlz54J1VePj40EZlsfuX331VUB5PFG3ubnZUx70v/n5eX0zo2GWtcMgyq8bcX3uc5/TF4UK+3XtMJDXB8KeNlA/gWP7sz3Kd6NL2hYkMT4+Hjxa6XkeVldXg/bZ8zycOnWqb5kfRnwdx9EXWd122236ogMh7d5+pE+9Xsfx48exsbEB13WRz+dRKBSws7MDz/Pw+9//Xt9k3wy6HzPo/YWZm5vDwsICPM9DJpNBoVDA+vo6dnZ24Pt+5KcV+nFdV1/URf/VeRAGUbcP0uzsLHZ3d9FsNrG+vo58Ph+8drawsICi9hnFOL9CDzrfFxcXe8qn/hf2ikMS6qPygz4f7FO7ldSg03fQ+yO7oQ7o5R3jcrncMxCTSnDx4sVgsKQPXJOQDny1Wh1oQy6dHrkxMQzyKK76CE29Xke73e55T0YGs+p73QCwtbWF06dP46WXXoLv+/j+97+P06dP97wXPgjb29s9Fdf2F6dCz87OBu83y8BeOnRyY+jy5cv4wx/+ABgeR56bmwMArK6uYnd3F+fPn8fZs2cxPT3d9zEySc+33noreNzedd2egbR0dKWc78VBlLW4Pv30U31RYtIhs+2z1PmO69LSkh7Ulzrw1d8XVEV57PigSQfR9l4eOq+EtNvt4MbS6uoqAATv4C8uLhpvBsYRp12dnp7uqfthf3q9GrS9tAV7MTExgbNnz6JUKqHZbAZl3vSKh2oY8ZVrcdg7vXLjPerjnHthi4eUf/UGxH6kz/PPPx/cGL527RqWl5cxPz+P6enpPdWbOAbdjxn0/vqp1+tYWVkBOm3P9vY25ufnMTs7O/A6Ln0hW136y1/+oi8aqLh1O86j9vvVpxLj4+OYnZ3F8vIyrl+/HtyUkFdr7rjjjmBdW7mZm5sLfigaZL7LzXXp8w2SrS8geSb9uUGej2o/2q24Bp2+g94f9TfUAb10FC5dutQzEJMJz9rtNl566SVAm2QsqSNHjgQN6muvvaYHA50BQiqVijXJlqwrcdU1Gg2kUilMTU3F+vXL1kjayMVJH7Q+99xzSKfTPef0wx/+ELlcLnjyYX5+Ho7j4Nlnn+1aTxc3XvtJBu1/+MMfUK1WuwY06o0hKWP6xFXyTqBtsCbv9ZjMdiZMK5VKofM8SNldWVmxpt3k5CQmJyf73kzZr7IWh/rLtul81HkF9kpu5P3yl7/UgwAAr7/+OtrtNu688049KBLJr7W1NT0I6LQH7XYbjuPs6SKd1Je//GV9kZF0NsImj7l69Sry+XxQ3y9fvgzHcYIbG1//+td7bgbGJW1QnF92D4u9tAVxLC0tYXJy0ljmxsfHI9+8HkZ8v/3tbwMAfv7zn+tBQKe9kSdDwm4mDYotHm+88QagTXi6H+kj73fabl5IPPbToPsxg95fP+o7+6aniRqNRqxffcPItdeW10nyK6yN3Gvdfu+994ADehqsVCphamrKmsd6H1z66QDw5ptvdoWh0zcolUrwPA/33HPPQPNd+nHVatX6tMPc3BzGxsZ6nijox5R3UMqQpMMgz0e1H+1WXINO30Hvj/ob6oBeZgovl8s9AzEoHXmpEPpALCmZrXdhYaGn4lYqleDumO2CbSKzUZbLZczNzXUNchqNRjBoGB8fj3QXX9Ii7O6xNPjqHV2ZZFBtCObm5nD16tXgcXAhM5Tq5/nAAw+ETvoCJV56nh0EKRcXLlwAtAGNemNIHl/S018GHvqFvdFoYHZ21joBipAnBJ544gnAMtvrww8/HMQjm812DbRbrRbm5ubgeR6uX7+OY8eOdW2r22tZ+9vf/qYvik3tAD7zzDNdYWtra8Fd60F46qmngM7j5Hp9XVtbQ7lchuM4xtmZo9zQ+I//+A+gc7NF37/aHgzzMTeVTNrUr2Mgv5KaZl4W8muLqFarXY8ETk9Po9R55WZrayt4FUcmRJqbmwtezbGRX1D7dVyHIW5Z32tbENW9994Lz/Pw05/+tKdzU6/XgzwIy0sMIL5R0ueRRx6B4zjwPC+0vclkMsZO7aBJPFTS5jiOE7QXGED6mMivc7/5zW+60qLVaqFYLA607Quz136M3jbudX9xqDeEpayLSqVivCmelFx7TeU36bVqamoKsPzKvte6LU+DfeUrX9GD9p30/UzX2larFXzBR+1jPffccwDQc76tVgvPPPMM2u120DYMMt/Vr2t885vf7Elrydt2u21Na5uVlZWu+Kl9NPWHsUGej2o/2q249pq+Mhml2Ov+KAH9pfr9pk6UoE96oH6b1fQNUdNEDqqwcJl0D51JSjKZTNekFvqkZlEmsVDj6ziOn8lkuia1SKfTPZOx2cjkanqaqOQb1I7j+Kurq36z2QzOodls+pubm8F5mSbJkvTRjyHfuNQn1VNJeti+kzls6uQw+oQgal6bvsetlkEpC5JvjuME25vKoK+VM9s6fmciJXXCpEwm0xVvx/AtU9uEIEnKmuSrrB/l26xhdUiNg16H5Fj6drbzEbbwsGNBmyzTV779KutKukbZv6RPWHvg++ET0Pgh4bblYSQuevlQybltbm76nud1nbeJTKqpp4WE5fP5YOLHxcVFP5/P+57nBf9vI/XlINsGW1nv144naQvC6ogfEq7W/XQ63VOH9TSW5Wq5SRJfP0H6mNqufu2NKb6qfuE6SS+Jh6me6m1akvSx5ZdQwyUOal6qbZ+aJrKOqb7JPvV0F7I/Pa3i9mP8kLbRT7A/W3mJQk0zKf9yLNd1g0kH1Wt2v+PZwtXyq5cbSQ99mzByvbB9r9x0bmF1W9gmOh4mU53Rz0ev62q5kfNV01vtS+r72ku+Sx9Y35/aVultQhjZRraX81fPRb+mDvJ8hCkP+rVbfkg74Sv7DGt/oLV5SdJX+gzq+nvZn6SvKd4UznwF20e1Ws1aCNUwU+fQVghFlPBcLtdVmDKWgU6/CiikI6xeBNPptF8oFHoawTDSsOsV1mR1dbWrUel3LkLSR68ocq56fqikUoYN+odJboCY8loN0xtjsa7N6uq6bjCAURso2/lKfpvKqUpmv7UdSxfWmMUta81ms2tmZltnRNWvDslNI/X4Mrg2bRd2Pn6f8Fqt5ufz+a6Lay6XM+ZprVbrSmPJl7D97+zsdO1f0ki/WSBkHVs9sYXblocJuxgLtdOay+X67l86pf3WQ6eMmsqUicTBVJ6HxVbWo7TjcduCfnUkLNzUdtvKnITr+RU3vn7C9JGbOXp7Y2vzbPEV/cJ1at1VZ4CWDq6pHfATpE9YfomdTt9B1pO2SM5Fjqdef/u1PbCku98nrSQuUfoxfkjbKOLsL6y89CPXQr08yfVLvljjum6wTb/jhYXL9VK9fiwuLgZlwLSNTbPZDPZjE6duC9tXcoZtc3OzpwyE1XVf2UbWl3qmXzf2I9/X19e70lqvj1HJ9js7O11xdF03KCu6/TgfP0G75fdpJ+SYYe0PLOU5bvqur693pYfeNsfZX1i7SeHMuUkHQu7CmQq5iTQcUQu+VGJ9fan4psbLV7Y76IsO0aiKU6995Qaf2inYK2lfwkhdN3XmTaQNYttAg8aOHR0m0n5GbRujkAHcQd4MvZnJADPOtZnosBrqO/QU7qmnnoLjOHjyySf1ICOZ9T7qJFq2T3bJu7i22TSffPLJnncViSiaYrEIx3Fwzz336EFWExMTyOfz8Dyv592zpHZ3d0Mnd4LyjmjU+UtkMkTbZxuJiG4E0v95/fXX9aBEGp2v5GQyGePcN0REcXBAf4hMTEzgV7/6FarVas8kQCbyKRGZRKufI0eOwHEc/OY3v+laXq1WrZN5zM3NoVqt4le/+hUvOkQxtVot/OY3v8GvfvUr6w0zG7nBJ5MQ7UWr1UK1Wu07cd2lS5eQTqcjxbXRaGBlZQW5XO5AvgZARDQsExMTWFxcRLlcHshN1hdffBEAUCgU9CAiotg4oD9kTp48iVqthlKphGw2G3rhKJfLsb8hfe7cOVSr1WCGzmKxCM/zgpm/RaVSQTabRalUQq1WCz57RUTRjY+PY3d3N1H9mZiYwLlz5wbSgTR9YsikXC4HMzr38+KLL8JxnOBrE0REN7If/ehHA7nJKjdDFxcXh/KlCCK68XFAfwgdOXIEH374IR566CE8+uijPZ+bQedzKOjzfVST+fl5FAqF4HNUv/nNb7C5udn1C1uj0cCjjz6Khx56CB9++CEvOEQHZH5+HplMJvJrOCaVSiX4xOKFCxewtbWlrwJ01gOAr33ta3pQj0qlgpWVFSwvL8e6oUhENKrGx8fx+9//HuVy2dqORjE3N4d0Oo0f/ehHehARUSIp/x8TQxARERERERHRCOEv9EREREREREQjiAN6IiIiIiIiohHEAT0RERERERHRCOKAnoiIiIiIiGgEcUBPRERERERENII4oCciIiIiIiIaQRzQExEREREREY0gDuiJiIiIiIiIRhAH9EREREREREQjiAN6IiIiIiIiohHEAT0RERERERHRCOKAnoiIiIiIiGgEcUBPRERERERENII4oCciIiIiIiIaQRzQExEREREREY0gDuiJiIiIiIiIRhAH9EREREREREQjiAN6IiIiIiIiohHEAT0RERERERHRCOKAnoiIiIiIiGgEcUBPRERERERENII4oCciIiIiIiIaQRzQExEREREREY0gDuiJiIiIiIiIRhAH9EREREREREQjiAN6IiIiIiIiohHEAT0RERERERHRCOKAnoiIiIiIiGgEcUBPRERERERENII4oCciIiIiIiIaQRzQExEREREREY0gDuiJiIiIiIiIRhAH9EREREREREQjaKgD+lQqFeuvUqnouzjUGo0GZmdn9cXIZrNIpVIoFot60KHQarVQLBYxNTUVpP3k5CTm5ubQaDT01QdqVPN6ECTd9XM/7OVlLwaZ3zdK+iWJb6VSCdJyPw0yv/qx5ScdPsMqf6NK0iebzepBdIMrFovG9nyYbWkSxWIRk5OTQTyXlpb0VYjoEBvqgP5G57ouNjY29MWHWqvVQjabxcLCAqrVKjKZDDKZDK5fv46VlRWk02lsbW3pm9EAnDlzBgsLC/piiojpd2NhfhIRDd/a2hoWFhbgeR7S6TQymQzuvfdefTUiOsQOZEC/s7MD3/f7/k1PT+ubjqTt7W34vo/5+Xk96MCdOXMG1WoV6XQanudhe3sb29vb+PDDD5HP59Fut/G9730PrVZL35ToUDrM9W1Qpqeng3aSiIgOt8Pcr718+TIAYHFxEbu7u9je3jY+bUpEh9eBDOjpcGg0GiiXywCAjY0NTExMBGHj4+NYXl6G67pot9t48803lS2JiIiIaNR9/PHHAIBbb71VDyKiETFyA/qtrS3Mzs4G7/lMTU2hUqkY31nr955fWHir1cLa2lrwfqt6vGKx2PWLtbwzJfR3pcLeka3X65ibm8PY2Fiw3ezsrPUxdzW+pVKp6733bDZr3c7ks88+g+u6SKfTXYN5VS6XAwB88sknepCVHi95H79er+urdtG3m5qaCj0fvSyMjY0Zj7O0tISU5Z0wtQyYjiX7L5VKwTI9nlHPT8gx5WbKzMwMUpbyUalUus5xcnLSuJ6Q95DVd+GmpqawtramrxpKrU/1ej3Y3+TkZFc6Dep4cepbv/QLq2+tVgtLS0uR4yvrwJDvYfVNz7exsbHQei307Wz5bWu71GVqvkjd2MucGHH312g0IrVtYfkp6a1vA6XdTaVSxieI5LhqHJOWVz3vJycnsbS0ZDyuxKtYLPakgbQVpu3C6PtJdcpfWLxN25jSX5RKJczOznatn3QuFb0c29pmYYprv/OzidOWYI/5Va/Xu9Ks3zUrijhlDZ3HpaOuL2lSqVSC62KqUy6ihIv9zF81PyR9ZZupqamua7FJ0vTQz0nKi83W1lZXGZudnbWePwz9Quzx+HqayrWi1WoF++hH0lra3oWFBaSUfvR+lQcY+r6Tk5NBeTDFX5ap6acKC48TP7keZbPZnuvFWOc6btpORKm/cs5hbYWsE7ftpZuYP0QAfAD+zs6OHhRJoVAI9uG6rp/JZHzHcXwAfj6f9wH4mUwmWH9nZydY38QW3mw2/XQ6HYRlMhk/k8n4rut2LRPr6+t+JpPpWb9Wq/m+7wdhhUJBOco/tpNtHMfpOUY+n+9a31fSUM5X0kHdbn19Xd8sMVvcbSReajpIHsGQ97Jc0jvq+ajH0cuCvo3kczqd7tqHr5WpxcVFPTgIazabvp/g/ExqtVrXdul02s9kMkGcJc0lTaRsqGXSVDZqtVpPGZV9yf7kPPqRNHNd13ccJ0hjAL7neb6f8HgSpqZT3PoWNf30Mlur1brySk/TsPjGqW9qvZa4qevr8UqS37a2yxZfOW/HcYJ2KQr1POLsb319vWudsPMJy0+pn6a6KekGwN/c3OwKM9X5JOW12Wz2rNPv/CXOuVwuWC/KsWzUcivpr9cXXb9ri56earsm56gew3Gcrvjayp/v+/7i4mIQFqW+JDk/m7htib+H/Nrc3AzC9TQ29Uf60eMu+aAeQ9reqOvrZVPCZTuJs9THfuH+EPLXlh/qNnp76O8xPSS/+rVVwpQGjuP4juP4uVzOh6Gdl/XVa1/S46tpqpc9ddt+pO+q54+0D/tRHvxO3bHFX22LVLJMTT+VLTxu/NRrh5y3lCU1znpZilL+pP5KnHK5XNc+hLTfmRjtB1H/Gj9AtgoXhdqBUCugXonUChDW6fBDwqVBSRsu4mpHSa/Qpn35lgGGeuzV1dWu9Xd2doKGw3ZRMG2nXhQGoVarWc/VRNZ3Xber4+FraapKcj5ywXccp6csra6uBvtTwyQ99fxUG1w9btJhkzKV5PzCyLH1c1DjlM/nu+IcVv6kHuRyua5tPM8LwkydAxO1fGYymWB/6n6THE/2qZ5z0vrWL/3UutNsNoMyoKepGl/9AirHRozyKcfR46Wei3r8JPlta7vU+KqDtmaz2RVfPZ1t1P2p56/uz3XdnvS0tV9q26Z3pEz5KXXOVK9s5+orHSb1+EnKq+wnnU53pb9+/ir1JmE6ne5qK9SOuF6ebGwDBHVf6g0Nz/OC4+vbmMqTLDN1Um3xtZU/aTMdx+m5yaK2zWqaxD2/MEnakiT5pbcnKnV/ensSRo27XtbUsiukvuhxDqvralujpqms0y98GPmrpp/ruj3tnq1t2Wt6JGl79b6onKspfrJcbd+SHD+s7Kl5AENf1MZ0zVSXY4DlISz+kk+m+Msy/boqTOFJ4qfmr6P1MW110Y9Zf+W6BkOf1FfqjH6NJAoTvcYPgBTgKH/6hVAKuN4A+FoDoW5n63QIW7jcGdY7N0Iqp17ZTPvyLY1l2Pn4WidLJccwbddsNoNwfcAZl9oI6XlhIxdi0/oSNz0syflIXuvpL6RhVRtcWaZvI3GS46hkG+nIJTm/MHJc/QIly/WBgjCVPykv+uBKqJ38KGVDrRt6/Pw9HM+0z6T1rV/6qfVNLt62NFXjq8ZDlkUtn7Y2RaQ7d/3VYyTJb9txZJne2RDyy4SeljZh5+9b9meqfyq17Khs+SnHMHW6ZBu93sk2ks5JyqutTKhM568OSEx1TW4S2NJUJ/vS08Xv7Mt1XWP662ki8vm8n06ng20KhYLvuq71BoMpvrbyJ+lh25fETd1X3PMLk6QtSZJf0p6kDTeafOX6bssDnVrWTOngdW6Syf7UAYEpzr4lL2z1RfQLN+1TNYj8VfPDlI+m9mOv6aG3RcJUXiRv9ZuIfueaIMfRB8emdEhyfCl7tjySPIDlGmRiumaqy23HMqWpylQe+l2L5Zh6/E3ppzKFJ4mf2raZ2h25SaDGP2799S3XDl/rV5iuVUQ2I/MOvXwO7rvf/a4ehPHxceTzeX1xYqVSCdevX8eRI0f0IKBzPAD46KOP9KDI5HzOnj2rBwGdd7cdx0G73Ta+E/SNb3xDXxTECwD+/ve/d4XF0ep8yq5arcJxHPz3f/+3vorRgw8+CAAol8vB+4hifHwcvu9je3tb2eKfbPkq5HwqlQra7TYcx+l5j0tImqqfEPza174GAPjjH/8YLJN0feihh5DJZLqWAcDFixcBAA8//DCwx/NL4vvf/76+CLCUv9/97ndAZ84DNd3ExMREcI5vv/22HhzKNCvvII83jPr229/+FgDwk5/8RA8COvGV+SLkfUJV1PqmppXpXbvd3V3s7u4azzVOfvfz7//+7/oiQDmG5F9UpvoJy/7kHVdbHKTeep7Xkz4mJ06cAABcvXo1WPbuu+8CAJ5++mlAy7NGowHP8+C6bpDOScqr/DedThvzC5bzF7a5SWTiqajvRkq8nnzyyZ53Ls+fP49r1651tYXSbv3whz9U1vyn5eVl7O7uBtvMz8/j2rVr1mtR1PjW63V4ngcAeOSRR/RgQClH6nvQcc8vzF7akjj5Je3J448/HixT2cq+jZTtdDptbG8nJiZw/fr14Poi5T2XyxnjDKWtk7iqHnroIX1RF1P4sPPXVu9M7cde00Pafp2pvEi/4t/+7d+CZWJ8fNy6rzC2bUzHl/g/+uijwTKVrR7vxSDLg8Tfdr2ztVtxJY2fSvp+qltuuQXolD8Rt/5CKY/6tUOuO/l83nitIrI5kAF9lM/WqQVfvZCaKgsAfPWrX9UXDUSr1UKlUkGpVEKxWEQ2mzV2+ONQO7GmC5Z44IEHAKXzqpJGZdD0wfzly5cjNyrT09PBxXthYQGu62JqagpLS0vGmxJJfPDBB4CSNiZqmspxpWGWzi4A/OEPfwA6A/X7778fUNJaLgZqJ28Y55eUzFK7sbGBbDZr/JOLTpwJDm3263j7Ud+gXHC/9KUv6UGB++67DwBw6dIlPShWfSsUCkAnbY4ePRpMrLW1tWWcmGk/nDx5Ul8EKDel1M5IFLZ298tf/jKglAcAaLfbAIBnn322p0zIn/jss8+C/7eRmynqzbjf/OY3QCde6XQaUOq6dIjUTnKS8ir/9TyvZ135e+WVV7r2r4rabvYjNy2q1SpOnToVTMxUKpWMg2zJ2zhlVlWpVLC1tYVisYjZ2Vm88MIL+ipGal6eOXOmJ62y2SyefPJJQCkjSHB+UcVtS+Lk17Vr14CQ9uSLX/yiviiUDNiixuH9998HlDbLROIWds5xDDt/v/Od7+iLAnId/n//7/8BA0iPqLO7q/G19d2SfL896vGhXMu+8IUv6EFASLwGLWl5kLoj1yLdsWPH9EWJJI2fKmp9jFt/ofRJNzY2uvoFMsA3/YhAFOZABvRxRfm1OWnnxUZmtrz99tsxMzOD06dPY2FhAeVyGY7j6KvHEqUTexDq9TqOHTsWfJe+Wq3Gvjj893//NwqFAlzXBToX8QsXLmBmZgaT2gzpScQZHKrGx8eRyWS67urL4H56ejq4CMtg7k9/+hOg/Doo9vv89srzPJTLZeOf7aK1F4M63n7WN4RcsPfD/Pw81tfXg4Gm53lYWVnBqVOncPfdd4fOXDws1WpVX5RIWLtbrVZ7yoT8xSE3J+RXlFarhWq1GnTqp6amAOVmnHxT2XSTN0l5bbfbPevKX9wbI0lMT09jZ2cnuEHRbrexsbGB06dPw3Vd6yzstpswJltbW8HMzDMzMzh16hQWFha6nnKKQ08n+TOVu6TnZ7PfbQki3BCz/Urcj+mXUBPTDaRh0vN1mPmr+vOf/wwMMT2i9EVtA+1BsbVTB0kvB2HloV/diTMojkqPV1j89iJq/YXlqbBGo4GNjQ04jmO9KU9kMxID+nvuuUdftK/m5uawsLAAz/OQyWRQKBSwvr4ePFkQ9utwFJ/73Of0RaHi3L1NqlQq4fjx48E5b29vJ+qUjI+PB49wep6H1dXV4ELueR5OnTq1p1+z46aFmtbf/va3gc5gXR8USJ7K3W95LEx/rG6/z2+vNjc3e5520f/m5+f1zRIbxPH2u74BiNWRv+222/RFsc3OzmJ3dxfNZhPr6+vI5/PBKzQLCwsHPqiXcr9Xn376qb4o0Gw2e8qC/hd10JnL5dBut1Gv13HlyhVA6TzJ6zTyK11YhyhJeV1cXOxZR/8b5Ks2JtPT0yiVSvB9H5ubm1hcXAxuKq6srODMmTP6JpHboVKphFOnTgU3chcXF7G6uoqdnR00m02cO3dO3yRUOp3uSR/TnyrJ+ZkMoy0BEMTNJukA1fR0kEmcNipO2xfFQeavTn7lHVZ63HHHHfqiHmFt4o0obnmQG93DEjd+exG1/gp5bUJ+lVcftyeKayQG9OPj40EjbOukmB5L78fU8NbrdaysrAAAarUatre3MT8/j9nZ2cidz37UX73D3iGN8pjwIJRKJZw+fRrtdhv5fB7b29sDuUs6MTGBs2fPolQqodlsBhfwJHklJC3U92l1tlca5BGn3/72tz2DgomJCbiui3ZnzoJy59ecsCcU9uP8kpIOzTvvvKMH7YtBHW8Y9Q3KDRt5ZcMkymObcY2Pj2N2dhbLy8u4fv16cPMn7oU/Llu7ImUzTgcYIfuT/Fdv/klbLXVsEL71rW8BnV9a5JjSmZe8vXjxYvCEjP5kTZLyKjcP1dd0DoOTJ08G7x6vrq4C2mPE0g6Zrm/otPdjY2NYWloCOoNgAFhdXcXu7i7Onz+Ps2fPYnp6OtZ1QG6eVqvVxANaRDg/m2G1JVAGJba2/i9/+Yu+KNSdd94J9LkRMDk5iampKdTr9aCNkjbLJMrraXEMO3/Dzk3WlzgNKz0mJib69kXlqYH9IjdjbdcyW1s9aEnLQ79+ki1dw5iOnzR+ScStv0J/7P7VV18FDD8kEUUxEgN6KBOhvPzyy3oQAATvMqrUX2dNFe2tt97SF3U9Dm8azDUaDePFJy7p2K+trelBQKfT1e5M/jbozohqa2sLp0+fBjoduuXlZX2VyJaWljA5OWk8p/Hx8Z5OdhLT09PBL53yCK5Ojq9PNCODdtOgAMog4LnnngOUMieGcX5JyYBnZWXFWNbRuaAM6rWAQR1vWPVNns74+c9/rgcByqNu2OOv16VSCVNTUz1lR0i67TdTGYXSTsaNhykPWq1WkGbyKzmUevPSSy8Fy1SNRgOpVApTU1Oh79CqpBN+6dKlrldloN2Mk2Pq55ekvEpnq1qtWjuZc3NzGBsb27cnLur1OrLZLMbGxvQgwDJpk7RDv/zlL/UgAMDrr7+OdrsddELlEV7bjWPTtdXkyJEjQWf9tdde04OBTv1IpVJBGUlyfjbDakuglCdb2rzxxhv6olBSvqvVqnFAVqlU4HkePM/DkSNHgjZqY2PDWoekrZO2b6+Gnb+2c5PrvqtMejnM9JBzs+WxrUwMisTfNLkfAPz617/WF+2LJOUBWt0xtcW2dJUbKaYblaaJd5PGL4m49VeMKxN6v/nmm6hWq13lmigWfdr7/RT2WYd+5LMP+icomso3RmH4vIZ8GkL/RJDte53q50/0z0ns7OwEnxGB4RMfslz/bIrpkyDqpzH0T2rshHxrVbaxpWG/cJX6uT/9OEnI52T0b3f62jdn1bB+8TWFy2dtTMdR81UP85VPEMmfSuIvf/p3S5OcXxgpF3o5M5UXlSlc/VxOOsZ3eG3U8mmS9HiyT0mjvdS3OOmnlvV8gu/Q2/JUD1c/X6PX66byKUg1bqb4qkzhtvyRZdDSRc0T26e2TML2J59v0ven5mmctLblp1DLgr6teg2A4XM/ScurnKOpztvaGmmf9DiKfuE69Rqmn5fEW91XWBmUOKvnqdYLled5Xd/VVo9hK39qmujH3rFc1+Ken03StqRffpjC1fKkx1tNA9s+TdT6qZZPtc6Y2g19/bDybGpLVP3Ch5G/kt5ybuo26jH06/Ow0kMtZ2F9UX2fslxtK0z7V5nCmyHfcbf1a/sxHSdsuUhSHnylLdfLRFj81fphKxPQ0jdJ/Gxtm7CFx62/Qv0MnimeRFGZS+w+kUoQ9U+/GKoDLtd1/UwmE1RIWyfRtI1UHHVwp5JGTParbuO6rvU7pBIHOY58Q9XWKKpxczrfqJTjwNBY+5aLgqpfuEq9cPb70+NuY0o7tSOln1O/+NrC1QunXhZg6NAJtTHWy4raEYZhUOAnOL8wUv4k7yXOtvIibOHqTQU5PzW+Tsj3mXW2i5YqyfEkzNSpQcz6Fjf9TPFV807vKPiW+KpM4Wq9krKpn+NeO5W2/JFlcp563TDlSRjZn9S3qPsztW390tqWn0JNVz2t1OOlLTcsTPnfr7w2lZswsm/1/GFoaySeGctgrl+4Ts1rSZt+eRB23YM2GDKVVzlnx3G6OqrCVv58S9scdl1Lcn42an5GbUv65YctXC1PEm85lqSfvk0YvaxJOqjnE7a+nK/825RuEq7XH9Ev3B9C/kp663VVPVf9GP6Q08NUvyS+Egd9G1nfdO3T1xW28ChlD4a6aWM7jm25Km558BPG37SNrKvmtX6tjhu/sLbNDwnXy1+mT/1VqWVd/0FQ2I5LJIZaMqQwRv3LGC6GtVrNz+VyXY3n5uam9aLrd+6A6RVLOjSyTNVsNv1CodBV6dPptF8oFPxms9l1R01Vq9W6KrTcaQtrFHd2dvx8Pt9VoXO5XM/dZyHr6I2W6BeuUtOk358p7jarq6s9+7adU7/4hoWvr693/YLkdDqf+kVbJ2ltOicJy+VyelAgzvmFaSq/cqrHDCsvfp9wKbtqOXRd18/n89YLhUnUi0fc48k6an4mrW9J0s/zPH9xcbHnWLa74qb4qmzhm5ubXe1U2HHC4utbwm35o8ZHTVPXdf3FxcWeQXQ/6jHU/UldC9uf53l+Pp/vSWvJV50tP0VN+WVMT281zJTGIm55Fevr61113nEcP5fL9cTDDxkAin7hJrVarSct++WpbKN2gnO5nLF9XF9ft6ZJs9kMlksa2cqf2NnZ6Sn/GcNNGpHk/EyStCX98iMsXMq4msYSZ9s2/ayurnblhcTfpNls9qwflm6mtkTVL1zsZ/6q6S39Pdmm33V2mOkhaaAeZ3V1Nagb+jayntpmhO3f7xOu94Vd1/ULhULfumliO45tuS5uefA7eaWWiSjxt52zr8TV1CbHiV/Y8f0I4Xr5C6u/Qm5mh7UX/Y5LlPL/0dCMvGKxiIWFhWCGdiKim00qlQIA7Ozs7OvcG0RE+4F9ub2pVCqYmZmB67rBN99HicQf/xi56sE3pKWlJVy4cAHr6+t7fp+fbl4jMykeEREREdHNqlgsYmpqyjrxqcweP+zPw1FyKysrcBwndJJIon44oCciIiIiOuTuvPNOVKtV/PSnP+2ZUb1SqeCFF14AAPzHf/xHVxgdHjK7f6vVwtzcHNrtNmZnZ2N9JpRIxwE9EREREdEhNzs7i0wmg3a7jaNHj2JqagrZbBaTk5OYmZlBu91GPp/nK1eH2N/+9jekUincfvvtwa/zP/vZz/TViGLhgJ6IiIiIaARsb29jfX0dmUwG1WoV5XIZ169fRy6Xw87ODpaXl/VN6BA5cuQIXNcFOq9GXL58mb/O057dMJPiEREREREREd1M+As9ERERERER0QjigJ6IiIiIiIhoBHFAT0RERERERDSCOKAnIiIiIiIiGkEc0BMRERERERGNIA7oiYiIiIiIiEYQB/REREREREREI4gDeiIiIiIiIqIRxAE9ERERERER0QjigJ6IiIiIiIhoBHFAT0RERERERDSCOKAnIiIiIiIiGkEc0BMRERERERGNIA7oiYiIiIiIiEYQB/REREREREREI4gDeiIiIiIiIqIRxAE9ERERERER0QjigJ6IiIiIiIhoBHFAT0RERERERDSCOKAnIiIiIiIiGkEc0BMRERERERGNIA7oiYiIiIiIiEYQB/REREREREREI4gDeiIiIiIiIqIRxAE9ERERERER0QjigJ6IiIiIiIhoBHFAT0RERERERDSCOKAnIiIiIiIiGkEc0BMRERERERGNIA7oiYiIiIiIiEYQB/SHXCqVsv5NTU3pqxMREREREdFNggP6Q25nZwcAUCgU4Pt+8JdOpzmgJyIiIiIiuolxQD8ivvzlL3f9+8SJEzhy5EjXMiIiIiIiIrp5pHzf9/WFdHgUi0UsLCyg2WxifHxcDyYiIiIiIqKbFH+hP+QuXboE13WDwXyxWMTS0pK+GhEREREREd1k+Av9IZdKpfRF2NzcxMmTJ/XFREREREREdBPhL/SHWKVSAQCsrq4Gk+EBwLFjx7Q1iYiIiIiI6GbDAf0h9u677wIAvvKVrwTLfN/vepe+0WhgdnY2+JTd5ORkEEZEREREREQ3Lg7oD7FLly7BcRzrbPb1eh3pdBpjY2NoNpvY3NyE4zj6akREREREqFQqSKVS2Nra6lrearVQLBYxNTXV9SPR3NwcGo1G17rozOk0NjZmDCOi4Rr6O/RbW1s4deqUvthoZ2cH09PT+uKbQqvVwu233450Oo3d3V09GACQzWYBANvb23oQEREREVGg1Wrh7rvvxgMPPNDVd2y1Wshms6hWqwCATCYDALh69Sra7TYcx8GvfvWrrvmbWq0Wjh07hsnJSfZDiQ7Y0H+hP3nyJFZXV4N/y7vh8ud5XvAr8806mAeAu+++GwBQrVaDgbuq1WqhXC7j0Ucf1YOIiIiIiLr813/9F9rtNp5++umu5WfOnEG1WkU6nYbnedje3sb29jY+/PBD5PN5tNttfO9730Or1Qq2GR8fx3PPPYdyuYy1tbWu/RHRcA39F3p0HveZmZlBJpMx3tXLZrNotVrWX6bpn2moPsXQarX4rXoiIiIi6tJoNOC6bk/fW5YDgOd5mJiYULb6h8nJSXieh9XVVZw9e7Yn7Pr16/jwww/ZByU6IEP/hR4APvjgAwDA/fffrwcFpqam9EWkuOOOOwAlLSuVCrLZLN9lIiIiIqIuL774IgDghz/8Ydfyzz77DK7rIp1OGwfzAJDL5QAAn3zyiR6En/zkJ2i323jzzTf1ICIakgMZ0F++fBkA8NWvflUPAjrvhC8vL+uLSTExMYHV1VX89Kc/RSqVwssvv4xXX33V2hgTERER0c2n1WphZWUFjuN0vQcPAEeOHMG1a9dCn4p977339EWBhx9+GADw85//XA8ioiE5kEfux8bG0G630Ww2g8dz5JEfdRkRERERESVXKpVw+vRp5HI5lEolPThUvV7H0aNHAQC1Ws345SV5JN8WTkT7a+i/0DcaDbTbbbiuGwzcW60W5ubmupYNinyeI8lfpVLRd0dERERENDL++Mc/AgDuu+8+PShUq9XC448/DnRmvrcN1k+cOAEAKJfLehARDcHQB/RXr14FOhNvyMD59ttvR7lcDhqEQZqenu6ZST/q3808yz4RERERjT55nP7BBx/Ug6zUT9k5joP//u//1lcJ3HXXXQCA999/Xw8ioiEY+oBe7hKur68HA+dmswl03uO5Eei/9I/qHxERERGNNvm+fFT6YP7y5cuhT9B++ctfBgB8/PHHehARDcHQB/Ryl/Cee+4Jlkkj8ZWvfCVYRkREREREw1Ov13Hs2LHgu/TVarXvD2633HKLvoiIhmioA/pWqxXc7dMbB9/3e5aNKv3R/VH9IyIiIqKbQ6lUwvHjx+F5XvC9en49iejwG+qA/sqVKwCABx54QA/aN5wUj4iIiIjITmbCb7fbyOfz2N7eDn3MXvXpp5/qi4hoiIY6oH/nnXcAAA899JAetG84KR4RERER3azS6bS+qMvW1hZOnz4NAFhdXcXy8rK+Sqg///nPAIDbbrtNDyKiIRjqgP7ixYsAgDvvvFMP6lKv1zE1NRX8Uj45OYlisaivRkREREREIaampgAA7777rh6EVquF733vewCAQqGAs2fP6qv0JbPbHz9+XA8ioiEY2oB+a2srmGXzo48+0oMDrVYLx48fx4kTJ+B3ZsBPp9O49dZb9VWJiIiIiCjE1772NcDyWbnXXnsN7XYbALCwsNDz+qn6Z/txTfr3nNya6GAMZUBfqVRw6tSp4N8LCwvWRuFvf/sb2u128Cv++Pg4SqVSojuGREREREQ3s4cffhiO42BjY0MPwqVLl/RFsdTrdXieB9d1b5jJrYlGzVAG9Kb32Ofn5/XVgM636PP5PJ544glks1nU63V9FSIiIiIiimB8fByzs7NAZ/I71fb2dk8f3fZn6rv/+te/BgA899xzehARDclQBvRxLS8vY3NzE9euXcPRo0extbWlr0KKtbU1pFIpNBoNPYiIiIiIbnJPPfUUAOD111/Xg/ZkY2MDjuPg4Ycf1oOIaEgO1YC+Uqlgbm4OAHDy5Elcu3YNruvipZde0lclxc9//nMAwNtvv60HBUqlElKplL6YiIiIiG5wExMTWFxcRLlcHthnmUulEjzPw/PPPx/5E3dENHiHakD/wQcfoFQqBY/ZVyoVXL9+faifuRs1lUoFjuMgl8vh1Vdf1YMD//mf/4lMJqMvJiIiIqKbwI9+9CM4jjOwx+OffvpppNNpznNFdMAO1YD+X/7lX+C6Lo4ePYpUKoVHH30U586dM76zMwpKpRImJyeD2UGnpqb6vj4gn+yL6o033sCPf/xjfOtb30K1Wu157F7iUK1WUS6Xg7jo71ARERER0Y1rfHwcv//971Eul/v2R/spFou4fv166I9JRDQcKd/3fX0h7V2lUsHMzAw2Nzdx8uRJNBoNnDhxAv/f//f/GWcB3drawjvvvIPz588jm82iUCjg8ccfx/b2tvUxplarhdtvvx3NZhOffPIJXNfF6upqz51SPS5EREREREQ0+g7VL/Q3kg8++AAA8PnPfx7ovLt07do142AenTkDvv71r2NpaQlXr17FwsICfvGLX1gH8+h8OzSfz2N8fBwTExNIp9PGO6XvvvsuAODYsWN6EBEREREREY0oDuj3ySOPPIJ0Oo2jR49ibm4OrVZLX6XHBx98gPfeew9jY2O4//77cccdd+irdHnllVfw3e9+N/j3448/bnzs/tKlS0in06E3B4iIiIiIiGi0cEC/T8bHx7G7u4tCoYBSqYS77767Z6CtKpVK+Oijj7C9vY3JyUk89thjoTcC5N2n6enpYJl8MkSf7b5cLuPEiRNdy4iIiIiIiGi0cUC/D4rFYjDp3Pz8PKrVKtrtNt5880191cDs7CzOnz+Per2OVquFiYmJ0Pfnf/nLX+L73/9+1zLTY/fyaZJ77703WGa7SUBERERERESjgwP6ffD+++/jP//zP4OBs/xi/uCDD2pr9jpy5Ah2d3f1xV0ajQY2NjbwyCOP6EHWx+4/+eQTtFotzM3Nhd5YICIiIiIiotHAAf0+uO+++9But3H77bcjlUrh1VdfxebmZtfj8XshNwhc1w0+Qyd/TzzxRNc699xzDzKZDJ544gkcO3YM3/jGN3pmwSciIiIiIqLRw8/WEREREREREY0g/kJPRERERERENII4oCciIiIiIiIaQRzQExEREREREY0gDuiJiIiIiIiIRhAH9EREREREREQjiAN6IiIiIiIiohHEAT0RERERERHRCOKAnoiIiIiIiGgEcUBPRERERERENII4oCciIiIiIiIaQRzQExEREREREY0gDuiJiIiIiIiIRhAH9EREREREREQjiAN6IiIiIiIiohHEAT0RERERERHRCOKAnoiIiIiIiGgEcUBPRERERERENII4oCciIiIiIiIaQRzQExEREREREY0gDuiJiIiIiIiIRhAH9EREREREREQjiAN6IiIiIiIiohHEAT0RERERERHRCOKAnoiIiIiIiGgEcUBPRERERERENII4oCciIiIiIiIaQRzQExEREREREY0gDuiJiIiIiIiIRhAH9EREREREREQjiAN6IiIiIiIiohHEAT0RERERERHRCOKAnoiIiIiIiGgEcUBPRERERERENIKGMqBfWlpCKpVCNpvVgwKNRgOpVAqpVAqTk5N6cBdZr1KpAACy2SxSqRSKxaK+6g2lWCxibGwMjUYjWCbnHuUvLP11lUoFqVQKW1tbelBfw8iPSqWCpaWlnmVyrje6YrEYO08HZdD5WyqVsLa2pi/eF0nKx9bWFqampoJtp6am9FWIaB9J2663d1InpS9wmLRaLRSLxUMZt1Fz2K7t7Iv9083eF0uK7QMN2lAG9F/96lcBAOVyWQ8KvP3228H/e56Her3eFS6k8DuOg+npaT34hlWpVLCwsIBz585hYmJCDx646elp5HI5fO9730Or1dKDD1SlUsHMzAzee+89PYhGTLFYxOnTp/HJJ5/oQYdCvV7HqVOnUK1W4bouMpkMTpw4oa9GRNTlzJkzWFhY0BfTiGNf7J/YF0uO7QMN2lAG9MeOHQv+3zZQv3z5MgAgnU4DAP70pz9pa/zDu+++CwA3Xaf6ySefhOM4eOyxx/QgAEChUIDv+6F/29vb+mahLly4gHa7jR/84Ad6UKjt7W34vo/5+Xk9iGikSDuUTqdx7do1bG9v4/z58/pqRHQA5Np2M93cp4PFvhgRHUZDGdCPj48jk8kAIQP1jY0NOI6D//N//g8A4Le//a2+CgDg0qVLAIDjx4/rQTesUqmEarWKc+fOYXx8XA/eNxMTE8jn89jY2OBjQXRTkicHhlnviIjo8GFfjIgOq6EM6AHgoYceApRf4lXybtCJEydw8uRJoPN4vunxInls/+GHH9aDgM4jQLOzs8H7O5OTk6HvDzUaDczNzWFsbCzYZnZ21vi+kvoeX71ex+TkZHAMdX15N0bCU533bpO+J/z0008DgPWO8H46e/YsAODll1/Wg6xs722Z0jqbzcZKl2w2i5mZGaBTFmzvaZnyYHZ21vqECAxlZ2xsDHNzc6HbhImzv1arhbW1tZ738KamplAsFo11IUypVOp673tychJLS0s9+5FwWyehX7iuVCphdna2K48nJycxNzfX9b4hOvuWR84WFhaQMrxbaCoztvopWq0W5ubmuuqnXhb7kbou8dPLmsxhUCwWUSqVgvhNTU11nWfS+C8tLQXxHxsbC/JOyoeaH7b6JsLCTfUkrK1S00AvY9lsNvS8otQHCdffyVTJOqVSSQ+y0uNqqw9ibW0t8vpqnsh8MalOPkcJF1HSR2XLO1M81WuX1A8pk1I/9G1UcdJDrRt6+Ze2wLQdOk/wqe3H1NRUaJmS+Kj1YS/HN60vaSPH6kfSWvoqMzMzQXxU9Xo9dtsQJk7b24+eDqkI12rTNmHnM8j4xq07SbEv9k83al8MMdeP295EbR/0fUm62eqTrKP2E8bGxnr2Szcwf0h2dnZ8AL7jOHqQv7i46APw19fXfd/3/Uwm4wPwNzc3u9aTfbiu27Vc1k+n08ExMplM8G8Afj6f79rG931/fX3ddxwn8jbq8R3H8V3XDY7teZ7v+75fq9V813WDfWQymWAdiWOz2ezab5jNzU0fgJ/L5fQg31fOvVAo6EEDI+cj59iPKU61Wi1Ia0k3Na0zmUzXPmwWFxd78lm2lfyRdJb/ZjKZrnyu1Wr6boMyqMZPzUcpm1Hl8/me/UkcoJXtZrPZkxb68fX0KRQKxuX6vuT85d+O43Tloyzf2dnp2o8whZvy19fOWY6rxsVxnK6yr56jpNHi4mIQHrd++r7ve57Xlc7qNmr8+qnVal3x08uapL9aztLpdFfblDT+er7rx0DE/BC28CRtlRp3xKgrUeuDtHeO4Trhd9JHwvW4mcStD1HW19sPCZftJD0kf/uF+wnaHzWeatlU46mmj7SNahnSz82U30nSQ+pGLpcL8liPn+lYkvfqOUkaSPnJaO2drK/Wh6THV69R+vHVNOhH2g7Zl6SZmofr6+vWc5XzjSNu2xsmybW63/mo7bqfIL7qtV0Xt+4kxb5YtxuxL+YnOH7c9iZq+6C3RWoemdoH9ViyjeM4PfGlG1dv67iPpIDqjZHeSK2urhoLrVQc/eKgVpx8Pt91IVAvNGrjoXb89QZ4Z2cnCFMrg9pIZTKZ4Djq8aTS5XK5ruWe5wVh+nmFkcZodXVVD/J9S4M9aP3ioDPFKZfL9SzztYuL3rDaSD7IxUNfjk4jqHby1I6pfkFWBxF6HKQswlBubaTMmfYnaekoAxZZpjb6wlZ+bQN6dV/q+rbzl32raaUyhZvyVz1n/SKt5rFehuQ89HKRpH762uBJTcvNzc1gGxg6hTa2dJbl0NojOeag46+WA0TID5UtPElbpcZBz0tT2fYT1Iew9sB2bbCJWx/U9NcH+mpc1fRSrz/6jboo4UnaH1mu5516Xmq5VNtGPR5qfuvlPEl6qHVD387WFjSbzWC5nrfq/vT4yXK1Pgz6+GoeIEbbIWmnt61qXuh1SG0b9Ppqk7TttYl7rfY6N9lM25iuX0niq6aZKkndSapfP8jWzg5SvzjoTHGKm79hJF/0eqnmlzNCfbEkx0/S3vgh7UPSvoPEwTHcpKabQ/Sr0wBIQ6IWRLkYuMovW7VarWeZr1QAvaLJcn19IY2HelypzHqDIqQhUPepNlJ6JfS1bUyVSL3wRW2Q5GaH6Xi+1lkM+9MbhjjkvPRG28Z0EZF4mM5jcXHRd123p4GyiXIRMe1LGmu9nEga6w2ukLKid/RsZH+2NJe7vtKZkTu7eudGmMqvXETUNFDLlymd5UKhbhO2vm8JN+VvoVDwXde1pqHc9dbTUM5DT6sk9VPaDQDG+qdekKMypbO63Lavvcbf1D6ox+yXHypTeNK2Spbp+eh3Og6mbeLWh7D6JnVBvwaYxK0P/dLft7QVkr56GRH9wk37VJnSw5SnYrNz88o2oDcdx5TfSdNDLaem7UxtgdTNdDrdta6QvoOehnIcNX/3cnx9/0LyAJb6biJ5pJc9ORdT+fa1QUgUSdteG1OaCtO1WtImLO3S6XSwTZL4quVXZSp/KlPdSUqOZUoXn30x43KMWF8syfGTtDd+SPsgx4jTd/CVfLWdK934ol+dBkAumqYLqf6ru1QsdZAjBVbvgJoaLZUpPMqdSDmexMF2URFyodbPRSVxsTUYKrWDbDOMi4icd9QOhim9ZVk6nQ5N8yiiXERMTOH9BoF+zPNXO8a2/cVlSk+5iKhpIA29rVNsInHVLyrCFG6KTz+m+KrL9X0lqZ+yL9uFMEp90vWLt75c7CX+tn2q8Y+TH6bwpG2VHN92Xnr8ktQHqZN6fZN96R0Zm7j1oV/58S0DP1P6qsLCk7Y/Elen80ilbVuhtn22dfX8Tpoesp0t3U3lXD+2TgYAet2Qc1Lrw16Obxp8+Fo+RSX71NtW2Y/tBq6vtB/6tkmYzjeMxDvqtVr6alHWjcIU32Fcu8NEuXZIuvX7M7UDUcU9H1PbEzd/w0h89LJlyi+VKXzQ+Rn32pP0+EnaGz+kfUjSd1CX6fujm8fQJsWDMpHdxYsXg2UySZ58q17IZ+lkVnyZ9CaTyQxkdtF2uw0AePbZZ5HNZo1/4rPPPlO2tPv444+Bzoz9+r7k7+rVq4Aye3aYv/zlL/oiq36fStnLZ0vuueceQEmzJGQymWq1ilOnTmFsbAyzs7MolUqxJ8AZJDVvz5w505Nf2WwWTz75JBDx/P/+978H/5+knLZaLVQqFZRKJRSLRWSz2WDylH4++ugjIOFxB61SqWBrawvFYhGzs7N44YUX9FVCJamff/3rXwEA9913XxCmGh8fh+u6+uJ9sZf4ywSiuvHx8eCznnu117bqlltu0RcZJakPR44cgeu6aLfbXRMAvf322wCAXC6nrG0Xtz68//77QEj5AYAvfelLgDI5614lbX8ee+wxOI6DdruN06dP4/bbb0e2M6mVaeImEXb9lHIn6bbX9LAdx+TatWuAsj/dF7/4RX1RX3GOL2X9C1/4gh4EdMrkIKh5E7bPBx54AFA+0xvHXtveuNdqz/OAGG2CLml8k9adJNgX23+Dzs+41569Hj/KMaJI0ncgwjBnuUfn0xuu68LzvGDWx42NDQAIZrcX3/jGNwDl83VyYfv2t7/dtd5eVatVlMtl419Snuf17Ev+TA3BYTeIhmp6eho7OztBZ7zdbmNjYwOnT5+G67o9M4EeBD2v5K9areqr9iWfaYxKZoG9/fbbMTMzg9OnT2NhYQHlchmO4+irh7INCPfb1tZWMBP2zMwMTp06hYWFhaCOJxGnfkbpjExOTuqL9tWg4z+IuqgaVlsVtz58//vfBwC89dZbwbKf//znAIB/+7d/C5ZFEbU+yE2Og6Knv/yZ2p/x8XFUq1Xk8/mgfSiXy3jiiSdw9OhRZDtfYknivffeA4acHjIotJmYmNAXDdQgy3qY/eqAD7LtTXqtnp6e1hdZDTK+iFl3Rtkg2v+k+TtMej7uJT/jXnsw4OMnFafvQIRhD+ih/PJ+5cqV4Fd30y8ux44dA5Q7//L9+a985Std6+1Vs9nsuYOq/8W5UAHA5uZmzz70v73cpR0E+XSG+rffpqenUSqV4Ps+Njc3sbi4GPxiurKygjNnzuibDE06ne7JI9NfVHEa3bm5OSwsLMDzPGQyGRQKBayvr2NnZwe+7we/1kQldWWYSqUSTp06hWq1inQ6jcXFRayurmJnZwfNZhPnzp3TN4kkTv2M0ukfdkclTvzvv/9+ffN9N6y2Kk59AIBHHnkE6JQrdH7Z9DwP6XQ69JdNk6j14bbbbtMXWcW9ydZPkvZnYmICy8vLuH79Omq1GgqFQvAER7lcxvHjxxOVd7kBMsz06PfkTJLzOIw+97nP6YtC3XrrrfqiHvvR9ia5VqufDgwz6PgmqTuHjXz6TP7m5ub0VQYqSf4Oy6DzM+61Z9DHTypO34EIBzGg/9rXvgYAeOedd4Jf3Y8fP66t1f14ab1eR7nzS2XczpyNdECuXLmiByUmHaB33nlHDzpUGo0GZmZmsL6+HjQMmUym61Ee1X50pk6ePInz58/j2rVrWF1dBRI0vIMgHaxqtTqQ87zjjjuC/7ftb67zjfRSqYR6vY6VlRUAQK1Ww/b2Nubn5zE7Oxu7sb7zzjuBkOOi8wv11NRUpF/vwvajkw7I6uoqdnd3cf78eZw9exbT09OJflVIUj+lbQgbwA3rDnuS+Ev+hcU/SR0x5eOw2qq49UFMTEwgnU4Hj93/+te/BgA8/vjjypbh4tYHebRcHjU3+eCDDwDlkei9GlT7c+TIEczPz2N3dxe1Wg3o/PKmPyosj5abSLmTQeQw00Ou9bZHzPXzGDT5FU/ORxelvYxC7b+E7VPyyfYKgmrQba+u37VaBoKffvppsExVKpUwNjaGpaUlYIDxHVTdOWhyQ1/6Yp7nYWVlxfj98P04z375OyyDzs+4155BHz+pJH0HIhzEgF7eo3/vvfeCDoQs033nO98BAKytrQEAZmdntTWSk3299NJLehDQGfSmUilMTU1FehQWAL71rW8BnTuctgZhcnISk5OTXe+G2sj7UoMm7xapnbDt7W0sLy8ra/2TdKaS/gpTr9eRzWYxNjamBwEh+T8M8r4uALz22mt6MNDpkKRSqUjlT14rAYA333xTD0ar1UKpVILnebjnnnu6HsE03axqNBqRL66Sn9Vq1dhZrFQq8DwPnucFx5I8NXXG5J3lKOSRVVsH9JVXXtEXhUpSP6UclctlY51VB4z7ba/xN+WfLf4yODe9695oNIw3MQbdVtnErQ+qH//4x0DnsXuZdyVOWxG3PsigbmNjw1h+oDz2P6hXv5K2P9Kems5L3aeu3W4by5HazkgaDzM9pDza2ok33nhDXzRQEn95xU8nN5QGQZ5IlH6NrlQqod1uw3GcSDd1B9n2JrlWy1OXv/zlL/UgAMDrr7+Odrsd3GAbVHyT1p0k9LZpUBqNBlZWVrC+vh4sm5iYgO/7wVNKKvbFoudn3GvPoI+fVJK+AxEOYkAvv7zLuyCu61oflZUOhXRA5Nf9QTh79izQ6Tzr7ww1Go3gojs+Pm6Nn+7hhx+G25nMKZvNdlW2VquFubk5eJ6H69evB68UhBlXJvGK+jhbFNJJcF236y6w7TzlVwu5cMd15MgRXLt2De12uyetAeDFF18EErzrJBMp7dVPfvITAMDCwkJPJ6tSqQS/KIRNDqV67rnnAAA//elPu/Kt1WrhmWeeQbvdRiaTwZEjR7oewdQ72pVKxfg6is3ExATy+TzQ+SVTLX+NRiOY0EV9pFEuHs8++2xXvqjnHYV0MPSOd6PRwOzsbN93ZGVCOJGkfk5MTATLc7lc1/nHPZ+9Shr/xcVFwJB/YfFXB+fqAE89jm7QbVWYOPVBpU6iWq1WkcvlrG2USdz6oA7q9fKjponjOMbOdlJJ2p+JiQm02+2e80KnHZF4mgYic3Nz1nKyuLgYpPEw00PKo+d5PfVlbW0teIppvzzyyCNwHCeor6q1tTVcuHCha1kcf/vb37r+/R//8R9Ap76G5XfUR8/32vaqklyrn3rqKaBz40c/n7W1teDpSikjg4xvkrqTxH71xUw/rghTW8e+WLz8jHvtGfTxo9DbhyR9ByIAlm9K7DP5LiMM32bUySccwj4lYfo0h8oWLp81QuczFJlMJvjOMTqfoVCPafrUhq5Wq3XFOZPJdH3OxAn53riJfJPS9jkf27lFoX9mxfbJnn5x0JnipKadpHUmkwnSKk66qJ+QSafTwedA+uVPWLicIzqfxcpkMsHneBChnOrU/Ukc1XNVv1eq5oOsK8d2Xdf4iTHbp1CazWZXGdbLn/5pFbW86nVA4oIIn0mT+Eic1f04jhOkh358+RyVxFU9x7j107ecvxoPSdeobOlsW64adPzV5Wp+mLaRPFLTXm8jkrRVpuOrbOFx6oNKyj5C2qcwYWkjcQlbX+Iq/zaliYTr6Sv6hfsJ2p9ms2nMO3UbNb309td0blHKo76NKT361Q1buKktkvOROOjbSDzU8mbbv7CFRzk+YrQd0s+Rfan5YWobwvI7TNK210YvK1K21LTR81w9H1P5VT/BlSS+g752SxkOq5O6fv2gJPuUdLO1f7p+cdCZ4pQkf21utL6Yvn6U49vaE2ELj9s+6O2w3lZLmH7tpZtHb20aArUTH/atRV+pXGEXI1OjpQoL9zzPz+fzXRU2nU77hUKhp8KENUKqZrPpFwqFrgrouq6fz+d7Go9+5Jh6YyDCzi0O2Y+pMZDGL2rcbXGq1Wo9ae26rr+4uNiT1v2sr6937adWq/XNnyjhuVwuOF9J9yQDCb9TztUBiZQB/VylvNjKoNQXV/n+tu0iIVZXV3suAHp+iFqt1nXerusG65rKhS1/19fXrWVevfDr5WhxcbHrAquKUz+FKT1zuZzveV4Q96hs6WxbrksSf7+zf72Tq6ahXk+bzWbXcdRtJK56fsl26rHQp62yHV+EhUetDyop+47jhK7XT5z60Gw2e9YPa6ds9UH0Cxdx259ms+kvLi52xVPyXe+Qq22flBU5TjqdDh0gxE2PfnUjLFzqi9oeyHFM20h81PIWtn+/T7itLex37TBpNptd5T2Xy3WF7+zsdJ2rrNOvT2SStO21SXKtlm3UvMvlcj1l0U8Q337pH7fuRK2TKomDqdz4CfcZd0Av5xd1fVuckuSvzY3UFxNxjh/Wnvgh4f3ah7h9B1lHbQvp5pLy/1EQ6BCbnJwM3vXcr0dsGo0GXNfF+vp61/tBW1tbOHXqFPL5vPUdeyIaDvkaxc7OTqT3a0cd25/BqFQqmJmZAf7Rg9aDqQ9JP9d1B/Z4MR2sbDaLhx56KNZXPAbdF7P1u0zYFhJRmKG/Q0/xyXtApok9kpCJPdR3imTf+rtc8h3o7373u13LiYj2m0y0xfaH9lOxWMTU1FTPe7NCZt+X2fhptFUqFZTLZTz44IN6UKhB98Vkno/Tp093LZ+cnOz56hD7YkQUSv/Jng6ndDq958dOVeo7OvKnP8bleZ7xUSAiOhg3w2N10satrq760F41oWT6PeJ6s5ProWN4f3hnZyd49PZGrnc3k1wu1/MYelSD7ov52rwCMLynzb4YEfXDR+5HhDzyVygUYj0ithdzc3MolUqoVqsDebyMiPbmZnjkfmxsLPi0FW7wcx0WPnLfXzabDT7dl06nMT4+jmvXrgWzrvNRZwL7YkR0SPGR+xExPT2NQqGAF154oeczRfuhUqlgZWUFy8vLvIAQ0dDIu6TybikH8zQM29vbWF9fRyaTQbVaRblcxvXr15HL5bCzs8PBPAHsixHRIcVf6ImIiIiIiIhGEH+hJyIiIiIiIhpBHNATERERERERjSAO6ImIiIiIiIhGEAf0RERERERERCOIA3oiIiIiIiKiEcQBPREREREREdEI4oCeiIiIiIiIaARxQE9EREREREQ0gjigJyIiIiIiIhpBQx3Qt1otzM3NYWxsDKlUCqlUCltbW/pqNAKy2Sympqb0xWg0Gl15PDY2htnZWdTrdX3VSPT9pVIpzM7OolKp6KtaVSoVpFIpFItFPahLqVRCNpsNjiNxtx2r1WoF69r++h1TVywWMTk5GWy/tLSkr7LvisVi1zk0Gg19lR5bW1td2+w3ydNBHatSqRxIWh9WrVYLY2Nj+54mjUYjyMdsNqsHG5VKJaytremLraQ8R91/Eo1GA7Ozs/ri4NxsbQgNlim9h5H/o27Q7WkYyY+410aTOPFW191LfWR5Gj5b+yr9tUGUpf3QarVQLBYxNTUVlL3JyUnMzc1F6ldFJcfRy/VhTx8arKEO6H/wgx9gZWUF7XYbmUwGmUwGn//85/XV6JArFosol8v4xS9+0bW8Xq8jnU5jZWUFAJDJZDA2NoaNjQ0cPXo09s0b0/5c18XGxgZmZmZQKpX0TXrU63V885vf1Bf3mJubw+nTp1Eul5FOp7viPjMzY2wQ//KXv+iL9mRtbQ0LCwvwPC+Iw7333quvNnRvv/22vqjHW2+9pS8aGZVKBTMzM3jvvff0oJvW+Pg4nn/+eVy4cKGnkzBIb775ZvD/5XK5byenWCzi9OnT+OSTT/SgAyXtEhERDdYotq+tVgvZbBYLCwuoVqvBmOf69etYWVlBOp2O3Se2OXPmDBYWFvTFdLPxh8hxHB+Av7m5qQfRiPA8z3ccx89kMnqQn06nfQB+Pp/3m81msHxxcdEH4DuO07W8H9d1jftbXV31AfgAfM/zurZRbW5uBmUOgF8oFPRVfN/3/UKhEMRvZ2enK0w9lh4m2y0uLnYtTyqXyw10f0nJeclfOp3WV+nSbDa70hlDaFZ2dnYGdizZl6lM3+xc1/Vd141Vb+OQOh617EvZtNXlg2Iri7JcbztofzC9D79B1uE41wF1XZaP0RI1jw+TTCbjo9N/UvupzWbTz+fzPhL0iW3kWHq5luWDqGt0+A31F/p2uw0AuOWWW/QgGhEvvvgi2u02nn766a7lW1tbqFarcF0XP/vZzzA+Ph6EnT9/HplMBu12u+sXuTCVSgWe58FxnJ79nT17Ful0GtB+4RPyeNapU6eCMhfmlVdeAQAsLy9jenq6K+zs2bPI5/MAgJdffrkr7NKlSwCAr371q13Lk/r4448BALfeeqsedCAymQwcx0G1Wg395fTtt99Gu91GLpfTg2jEPffcc/A8D6+99poetGdbW1vB0yg//elPAQArKytotVr6qkRERCOh0WigXC4DADY2NjAxMRGEjY+PY3l5Ga7rxuoTE/UzlAG9vMchZmZmut7rkHB5j1XeNdHfmalUKpidnQ3Cx8bGMDc3F/p+9tbWVtc2U1NTqFQqwftU6ntQ/d7HihIeNX7qe2T6e+Lyjk1Yx7ZUKvW8l7O0tNS1jewv7LEeWSdswCYajUbwqJA+8JVHrnO5XNfgWzz66KMAgFdffVUPCuW6rnF/3/nOd/RFAXk8y3EcbG5uIpPJ6Kt0cRwHAPDwww/rQQCAb3zjG4Ay4BZXr14FABw7dqxreVxSFuQCsLCw0FM2YSjLYeVLLd/1ej14L39ycjK0POikDoY9dv+73/0OAPCtb31LD+oyzPhHqR/otD0zMzNA55FvWT+MtFGm98vVNsIUTzl/9XWRRqOBpaWlrvjKueuvlUhbGfYOuaSVfvw47ZOYnZ2F4zh44YUX9KA9kzbjxIkTOHLkSNDBsZW1VCoVPFZoqyMmtnde5b1Ddc6KqakpYzmxkX0L2Y/pNQW9TE5NTfXkkUq/LqQ618SwbWxM+8pms6HlqFQqYXZ2tmsb2/ufan1ttVpYWloKtpO5GCRNt7a2utJh1jDHir4//fpYLBZj55HpWi/7V8vBWJ95X0zrS5qofZko1PVN6RK2H1Oe2spHv/a0X98mTtsttra2gvOTuIWtf5BMaWmrH4MuTzC0DZL3aj8xjiRtvZ7HYX1l9GnrEBLearWwtrbWVTbkeHq97te+yj5M6VOv13vy1FY/oOwbhvzIZrPW7Uw+++wzuK6LdDrdNZhXyQ8ge3l9TPJG+o762EpfV81faUdt9HIseWSqE3RI6D/Z74fFxcXg0Q95BCWTyfjr6+u+rz2ags6jr67r+vl8vmsfsr3rusE6skz2pVIfHZZt5NFgeeRFfcy23+NbYeFx4ydxy+VyQZwymUxPOumP4zSbzSCdZB11G8dxgsd7JE65XK5rH2J9fT04bhSyv9XVVT0oiIN+nqJWqwVxjEJd3/RYvaSBKS6u6/qrq6tB2u31sSPJKzWdPM8L0juXy3XldTqdtqaDyfr6elfZlPKjPn4s5VUNVx9z148nZdV1Xd9xnGAbW3qq1PPd3NwMzsmk2WwG4WH1Y9Dxtx2r2Wz21CH1WI7j+LVaLVh/cXExKEtO51WSfvVBjm1KE7XNMT0+LmFSNmu1Wlfc5Phq2qjlVuqs6di+Um8cx+laHrd9Ukneha0Tl5QbKOVRXm+xnZsaZ1MdsTHVX7UdVdNd4uREfBRS6q5sJ/uRMibL5VhR0359fb2nXKjtvnpt7EctY3J8dV+m8q7WV6lD6jZ6+qh1QtaT7dTjSF7obYCjXLei7i9tuD5KmProqSn/w/Zvayt8w/VXTRen007pxw8j56M+grsf5SNpe+onaLt9S3vjOI7vdK6X2MP1WBUWb526rpo/cevHIMuTb6lr6r/jppUp7fuVp7h9Zd9S11SmcFP90eOnHqdf+yphevrIdRKWOqXXD1+Jr5xv1LRLyhb3OGq1WldeSfmReMox1DYq06etkP3qeaLmQ9rQ9tLB698KDpAUBr0BUAuK+n69FBgZVDiO0/P+ve19arXxViuhqUExbWNiC08SP7UBTWvv2KgXGH3AKo1NOp3uujio5yUDeHVQbKp8cmGN2khJBTddlOQ4et6qTOkQxnSunud1Nbim89LtpeFsNpvBeat5oV4wJI56429qKMPY4illxYnxjr9aVjOZTJBOUdJL77BIWTTlm6TD6uqqtX7sR/xtx5LOjKl+qOVGJftS24J+JE309NQveippJ9TjSHkxlRW1ky+ahoGwSs5fHegmaZ9Ukse2G4NJmAbvcpMMljbGT/j+rV6efeX4uVyuKw/VdjTKzQIh8dbJcoS05Wr++so8Jabz3NnZCcKittu2AZR6nVHLheS3YxiA2K5Nan3Ut1PD9O1s7au+jRo/z/OCPNLrrKyvtiWm/Nfjq65vupYKqd96h1bNF/34YdT2Qm3n/JC2MUn5SNqe7rXt1vteUhZNcU/CFm8TdV01vnHrxyDLk5q+ap1Ry7gpbjZJ2vqw/LL1lX1LXVOZwtU+nX7tVPtUersjy3WmPpN6Pnqbq9YPPU1lG9N2trY6KbVvrp9rEpIOel6o7Utem4sqLL3V8qpuo5ZLU5+FDlZvDdlHUnhshU5vMITpgq+SyqYWMGmkTYWuqUziZWuUTWzhSeInDTksHWnpmKvbqB1ePQ0l3NEmrJO46Z0/dWCgN6wm6rFNwuIloqyjU9NJ/dMbmjCmRj8qtSHXG0PXdf20djPG1ybji3NMWzxNHTSVxFHtLKhlNU56+4YOi+zfVL4lzl7Irzz7EX/TsaIMCE31QfZla39MJM76Ocl+9Lj5hnT0PM/PdO6um6h1VC1j+n5UpptuSdonVb+6n4QpH/w+7bY/wAG9ra75Sv0d5IDedD798lfv/AvpiOk3pmzkGKZ6tLi46Luu25UPhULBdztPOZmYrk1qfdTz1O9z40ryx1b/TfFQy6SadqZzNeV/v/jKwEhNY+mE69cCoXaQTWltIuXQtdycNtXNJOUjSXvqJ2y7pQ6b6k9TuYFjqntx2eJtYksD0zJhqx8YQHnylfQ1HVst41HTKklbH9bm2vrKfp908y3huc4TqbbrswwW9TSUfelM7XjY+fjaDUuVHMO0na2tTkK9UaKnaVKSDnpeqO2LiSm91fbD1CbZ2l46eL01ZB9JIbAVOlOjpd7JMhUuX2lM1QpqO5aQTomtUTYxhSeNn1wU9F/xhOmiIRXNto2J3JXVL/6yL1PjZWL6dVHVL739iOuo1IGxqz0K5ziOsbyYhJWvMHLxixNnoXbubOVCZ4qnqezo1DIoTGU1Kr3syf71cicNu5Qt0zH3K/6mcCnrejxVYYMHW9k2MdUf2U+hUDBeYKWzFeciKOeo7kfqon6epk5j0vZJJ/uwdcTiCIuTnIMpzB/ggF6WOY7jr6+vG48Vh8RZJ8vV/FOZwqXN039hU8XJDymL6XQ6dJ9RmdJTrY+mtJQ4mAYaSfbnW/ZpSs8k+ze1L7KfsGtm2ADNRM7BNPj1LXUzSfkwnY/KFG46ts7UduvH1knfK04dtjHF20ZdV82fuPVjUOVJltkGW37I0wMmYe2qMOWpKU1Upr6yH2G7fuEmpj6QH9K+mtaXdW3lz7fUU9nOVgaSnI9OHcw7lhuDSZj6G+pyPT2FKTzshpwwtb108IYyKd5efPbZZ8H/nzlzBtlstufvySefBJRZ9NUJe/TJ28SgZiZPEj+VacI3m48++giIuY1M9LaxsdE12YhMZCYTvvXz5z//WV+0r7a2toJZ6ldXV3Ht2jVsb29jd3cXOzs7QGdirLBJPfZibm4OKysrAID19XVrObKZVSZ03Mv36j/44AMAwAMPPKAHBY4cORL8vz4BzSDIhGX6bPcyeVnYZHjDjL9MLuN5Xk8dlD/5ooE+wWFcUq8uXrwYLPvDH/4AAHjwwQdx//33AwDeffddoDNBj8zobpskp9FooFKpYG1tLZgkz+TkyZPGrw/IJHM/+clPgmV7bZ+EfFVC3V9SMqlOPp/vacvk3GD5gsWgPPbYY3AcB+12G6dPn8btt9+ObGcSrLCJo4ZB8uHZZ5/tySv5E1HyQ75IUq1WcerUqWCSrlKp1DO5nUmlM2FbsVjE7Oxs3wkS9TxVfelLX9IXhcpkMtb9PfTQQ4ByXUzKtn/d+++/DwC466679KBAWDsX5utf/7q+CFD6L+12O7h+D7p82CRpu9XypIap7r33Xn3Rgdpr/dBFLU+SvpOTk3pQ4L777tMXWSVp64fZV9a1Wi1UKhWUSiUUi0Vks9lgcrek1LbbVv6glGm5Pqv26ytcrc536avVKhzHweXLlyOXlWGSvtHGxkZP+ZE/mRB6LxP60eAd+gG9qlwuG/+q1WrXen//+9+7/m2yH5VWj5ctfnslHZkoJiYmglneZQDWaDSCWeBPnjypbZGMdMKjuOOOO/RFPZ599lkAQKFQwNmzZ7vCpqen8fvf/x7oDOqjznYchTS6KysrcBwHOzs7XYPzOGQQJBfuJA5LgykzsqqfL5MvFti+DoADin+73e6pg/LneZ6+eiLj4+PIZDLwPC/oRMjgfnp6Oui0yqcN//SnPwGdGd1V6gzerutiZmYGTzzxBC5cuBAaV/mUojojvMyIb8sPPS3itE+D6ni0Wq0gnrabiXJuP//5z/WggRkfH0e1WkU+nw/arnK5jCeeeAJHjx5FtjMb+EGqVqs9eSV/cUxPT2NnZyeow+12GxsbGzh9+jRc1zV+UUWdcX1mZganTp3CwsICNjY2utY7DN577z190b7Y603AvdJvDA+qfNgkabuj9L2+8IUv6IuG7nOf+1zw/0nqxyAkSd+o9PIgf3pbHyW/Bt1XlpnTb7/9dszMzOD06dNYWFhAuVyO1Y802csNrP1Ur9dx7NgxVKtVpNNpVKvV0BsOh4HneT3lR/7Cbv7TwRmZAX06nYb/j1cEQv8A4J577tE333dx4rdXMkiISj4ZJ7/KyyBAOs6DIHc8P/30Uz0I0O6c2n6hVMmF58EHH9SDgM5FWBp/vaOTlDS65XIZruvi8uXL1rvW6NwYCbvQS6P3L//yL3pQZHG/Sa92VAbp3/7t34DOXVt0zr1arVo/UygOIv6Li4s99U7/297e1jeL7dvf/jbQGay3Wi1Uq9Xg5pnUB7mT/dvf/hZQ0hHazSN0bpoUCgVsbm6iVqvh+vXrwbo62Y/cVNna2kK73UYmkzHWr2G2T2HefvtttNvt0JuJjz32GNDpUMT5VFBcExMTWF5exvXr11Gr1VAoFIKbcOVyGcePHw+t3/ut2Wz25I/+F9Y+qaanp1EqleD7PjY3N7G4uAjXdQEAKysrOHPmTLBuqVTCqVOngs7n4uIiVldXsbOzg2aziXPnzil7PnhxbnCPMj2vB1k+TJK03VFu1tv6CMOkD6bi1I/DLk5bP+y+8tzcHBYWFuB5HjKZDAqFAtbX17GzswPf90OfBokibv8hbhlPolQq4fjx48E5b29vG6/Rh83m5mZPmdH/5ufn9c3oAB36Ab1U0Gq1GrlzNT4+Hgz2bI/wmh616cd0IUoSv6TuvPNOoDMQsJmcnMTU1FTXAFp/7F4GAergYq/kEeN33nlHDwKUQbd0mAdhbGxMX5RYvV4PGt10Oo0rV670XPRV8ouq7ZvZrVYr+IX185//vB4cmTyiKgNDk6iPme2FPHYvv0jLef/7v/+7vmqXYcZfLs7qY/D7SerVb3/7W1y5cgVQBhcTExPBd9UrlUrw64N6fm+++Saq1Spc18WHH36IUqmE+fl5nDx5sm866K9ByOP2cvNODKp92su2qtdffx3oczNxYmIiaCd++ctf6sH74siRI5ifn8fu7i5qtRrQuSE3qJuFcci1S8rUoJ08eRLnz5/HtWvXsLq6CnRuYIi5uTkAwOrqKnZ3d3H+/HmcPXsW09PToTfv9kNYuyE3tofRKYdSt+XRe5Ow+IaxPcUl/Rf1l8v9Lh8iSds9MTHRt+81yNf31BsI/Z6okTTu9ytwv/oxKPJjRVj6hpU1XZK2fr/6yqbj1+v14OZ1rVbD9vY25ufnMTs7u6cbTyr1uhlWHiTN474CFFepVMLp06fRbreRz+exvb099DY0rttuuw0I6cvT4XXoB/TScYX2uK+qVCohlUp1PRot///yyy8ra/6TvEurUu/umRok6TSrksYvCbl7Wa1WjY1VpVKB53nwPK+rYRsfHw860Oogot+gQfXlL39ZX9RF3rPS39UX0pF//PHH9SAj6dDbLiZyrhjAXeZGo4Hjx4/HanTl0Wk5L52UhbjprJvuPInQbreDR5V18k6yPDK4X2T/v/71r/Hqq6+G/soqhhl/GWBXq1Vr50Qebx/E3AsyaC+Xy8HFT32iRMrIc889B2jzKkB55HJyctJY3mzpJeRd+bffftv6uP2g2id5YibuLyCqRqMRdIz73Uz88Y9/DHTakyTvsfaTzWYxNjZmbEfVNDsIkg8vvfSSHgR00jGVSmFqaqpv2tTr9eBcTfTyAuXJIltn13Tt3C+2dkMtS6Zz2A/y9M3FixeN1zh5SiYJ2+slb7zxBqC1HYMsH2GStt0SP4m7bpDlR9pgAHj++ef14ECr1QrSWE3LJPVjUNT0NV2vWq1WrFdckrb1SfrKUG6MmH7oMv3QoT4Ob+oTqXV6L6QsStnUlUql4CmxQd1IMNna2sLp06eBzs3R5eVlfZVDSeZEWllZMbZz6PRZJicn9/UJOkpAnyVvP9lmiTTNtKiS2atNsyruWL4r6SnfalW3aSrfo4Zh5k7b53XUOOjJliR+pplSVbZwibv+uTRP+T6kKR3VGbBN8ewnyqer1O9TqrN3yiypcWb1VGe71uNaU74PGzYTp+hXviRcT+sw6qy1+n7V8qCX9TC2eEpZcBJ+CzguW9mTWXRtdcR2zP2Ivy1cZmhNcqyw2YZtpGyb4qJ+6QCG2XMlPo7hMz7r6+tBGdfjK9Q6CUN+iCTtk0ryPWy26ygkrfTZ+U2ayueSTO2m7VxNTOXZ1o762meNorZXkr76vmS5Kf98S7g6W7XelqrtvF4/bdT6qp+PpIO6L0l3PY09zwvql76NrT4KadtM6WDKH3V/ev1Q00Bv/2Ub9Tj99m9iC5fzSO/Dd+j19FbbB7VcJSkftvMRtvAkbbcav7C+l629iUvtK2Qyma52ttls+pubm10zi+t1NG79GGR5UtPXVsbjpFWStj5pX1ltQ6PUBbVc6J+l29nZCT1fWa7nnanPpKZ11DTwLW2Hql+4ynb92i+SDnq6mtJHZQpvKp+W1K+PapmIc32k4TC3PvvEViFMhUqnNizyCTMpdDBcDH2tQy3bSCUzXfRs28hx1M67Lm78TBcFlS28qXz2QsIl/eS8bNRGVm8Yo5Dz0QcfQh1oO47Tkwb6gMYPudD52mBJ9qefe5QGJax8qcfv96fnRVhZgaFx7ScsnqbypeanfqywdO3HVvZ85aYNDPkZdsxBx98WrtePdDrd91hN5Ruzsn5Uajz07fQBt15W1Yu+bK/GVS3veloLKTNh6/iW9A9rn1RSzvVPX4aVExP1XOP8OcqNBL3zrg/oTEzxtKV90vor+SRpK22k7Eu/5glbuNq2mNo+vRMdRi2jsi+1nDnaYELSSz0fObbjOF0dedMxTKSc6ufpW/JHj7McTy3vpjSQMPU4/fZvYgvX2xc1bdTlpvM0kfNR8yJKOYxbPmznI8LCTW1HWHvqW66Naj7CcJ0z5VNUapm1/TmOY2wj9bIWtX4Mojz5WvqqZdxxnKAc6GkVxpRf/dr6KPml54upv6fWBTkPtS7IMnUdiZvrutZPpsl+9fZV9qenj6l+9EsDCbPV3X7hqijlUf70uMc5jlB/NMtkMkGdtKWPsIWreQvl+ij/1usEHQ69rcs+shVUW6HS7ezs+LlcrqegmS4oolardW2T7nxr1NQoi83NzZ6GRy4EsswkTvzCju9HCF9dXe25gPdLP9v3RKOSOIUdx/M8P5/PdzX0uVzOWvnDLnR+zDS1CStfcRpeU7rp8ZPz1ct4FGHx9DsXKfUXMqfTuTalbb90DRNW9tRfjXT9jjnI+PcLX19f77kAheXL+vp61wXfFCcbyXtTvkmYPhgWen2BVr6lzpo6IL72a3I/elnVj2UjeaavF1ZOdOpAPMmfeuzFxcWu+taPLZ7NZtNfXFzsakfDymSYWq3WtR/5ZUj+bSt3YeFSNtRyKe28PpDtp1ar9ezLdV1/cXHRuK/19fWu83Fd18/n877neV03wOTGcL/6KHXRdJ6m/FH31+z8KiR5nk6ne355E7KNepx++zcJC5f4SFpKmVHTxXSeJmqbr/+S3K8cxikfYefjRwiP03YLaW9kG9d1/dXV1eBYentpyqc4dnZ2/Hw+31Vuw9JEFad+mOLZL/36hRcKha54S5+pX5/ARtI+TlufpK+sb+O6bhBXU51vNpt+oVCwllm5Trja03K29jUsfaQ8qGmQy+WMN3V8S9uh6heuUvse/f70uMc5jmg2m111TfobYenj9wmXvLJdB+jwSfn/KEA3nWKxiIWFhWDWyZvB0tISLly4gPX19dD3ZW0ajQZc14Xrurh27ZoeTEQ3mFarhdtvv91a54vFIi5dunTTtKE0HJVKBTMzMwCAUeqipFIpoPOFhigzWcu3twuFAmeMph5SPpL22QbhZuwrH7RUKoWdnZ19fcefbjyHflI8Ghz5tnrSiV4mJiaQz+fheZ5xEhciurHI5Ebf//739SA0Gg288sorN81nw+jmVqlUMDk5GXwFQKfOSB9lME80NjaGbDZrnHys1WoFs7HvdeJfGh3FYhGO4zDPKTYO6G9gcpFotVqYm5tDu93G7OyscUbtqJ566ik4jhPM3E1EN66nn34arusG34ZXvfnmmzhx4oQxjOhGc8cdd8DzPKysrPTM+t5oNPDkk08CAM6dO9cVRmQzNjaGcrmMZ555pmt5q9XCM888g3a7jUwmY5wVnm48rVYLv/nNb/CrX/1qT/10ujlxQH8D+9vf/oZUKoXbb789+HX+Zz/7mb5aLBMTEzh37hzK5TJ/pSe6gZVKJXieh5deesnYuZifn8fy8rIxjOhGMzExgUKhAAA4ffo0Jicnkc1mMTU1Bdd1Ua1WkU6neYOLIpPP3q6srAS/1mez2a4+m5Q5uvGNj49jd3e37+eAiUw4oL+Bqd8lTafTuHz58kA63/Pz88hkMsEvEkR0Y5GnevL5PDsXRB3z8/PY2dlBLpfD9evXUS6XUa1WkclksL6+jt3d3YFcY+nmMD09Dc/zkM/ng1/ry+Uy0uk0CoUCPvzwQ/46T0SR3LST4hERERERERGNMv5CT0RERERERDSCOKAnIiIiIiIiGkEc0BMRERERERGNIA7oiYiIiIiIiEYQB/REREREREREI4gDeiIiIiIiIqIRxAE9ERERERER0QjigJ6IiIiIiIhoBHFAT0RERERERDSCOKCPIJvNIpVKoVgsdi1vNBqYnZ3tWoaQ9cnssKZXq9XC3NwcxsbGkEqlkEqlsLW1pa92IFqtFsbGxpDNZvWgQKvVCuJt+4uT5rJNpVLRg3ok2f+okvIbJV1UW1tbwbapVAqTk5MoFototVr6qoFGo4G5uTlMTk4G283OzsY+NmLWO1k3rLzdLJaWlnrqkf4XRaVSibW+rlKpYHZ2tqt9ymazKJVK+qojI2l6lEqlrro0NjbWt15IXZL0k23q9bq+aiT6/lJ7qJs0HHHawL047H1FW1/nsMTvRrLXdp/IhgP6PXBdFxsbG/piukH84Ac/wMrKCtrtNjKZDDKZDD7/+c/rqw1dq9VCNptFu93Wg7r85S9/0RfRITE3N4dTp06hXC4jnU4jk8ng+vXrWFhYQDabNQ7q6/U60uk0VlZW4HkeMpkM0uk0NjY2MDMzg6WlJX0T2gfvvfeevii2VquFRx99VF8cWalUwszMDDY2NjA2NhaUhXK5jNOnT99UN17m5uZw+vTprro0NjYW1AvTYEStSwC6tjl69GjsG7em/Un/YGZmZqRvstDeHfa+4mHt6xBRDD71lclkfAB+oVDoWg7AZxLunS19D5rjOD4Af3NzUw86MLVazU+n00HZy2Qy+iqBQqHgA/AXFxf1oETkmDs7O3pQD1n3sOXpfpDyGyVdfN/3d3Z2fAC+4zhd2zSbzSBv9XxtNptBeUyn077neUFYrVZLVFbj1DtZV4/XzUjKdrPZ1IMiy+fzwX4Q8xoi5QeAv7q62hMmZSFKvh42cdND2ji9Lvm+76+urgb708OknuXz+a58XFxcDPYXJ39d1zXuT42DWmfp5mIr13Ha4P2U5PpByajtN9Eg8Rd6Igv5BfyWW27Rg4au1WqhWCzi6NGjqFarerDRpUuXAABf/epX9SA6QC+//DIA4Ny5c5ieng6Wj4+PB7/ilMvlrl/p33zzTbTbbTiOg+3tbUxMTARhR44cwe9//3sAwA9/+MNgOQ2ePD6dTqcxPj6uB0eytbWFlZUVuK6rB0XyxhtvAADy+TzOnj3bFTY9PY3l5WUAwAsvvNAVdiN65ZVXAADLy8tddQkAzp49i3w+Dyh1Dp30r1arcF0XP/vZz7ry8fz588hkMmi323jzzTeD5WEqlQo8z4PjOD37O3v2LNLpNNCpw0SH0WHq6xBRMkMb0BeLxeBdnFKpFLyrMzU1hUajEaxnew/N9gicDHTUd0qnpqawtLTU89hqv3dX+oULORch20hnz/TekXr++jlOTk5ibm6uJ77CtL68axslvrpSqYSpqalgWzl+2LuDpm1MaYxOfJeWlrrWTyV8v1M/91Sf8gBLXPudn0ryT8zMzCBleI9sa2sLs7OzwXHGxsasx4la/m3OnDmDhYUFAEChUEChUNBX6XH16lUAwLFjx/SgAyFp0O9PT+cwpVKp5z1iyW9Tuso6sq1aTrLZbGi5KhaLwfqS16by38/HH38Mx3GQyWT0oK6BuvrKxOXLl4HOIM40kJyenobruvA8z1j+9sN+5GelUumZI0DebTa9iyzryGsosr5+TD2vw9qvMB988AEA4MSJE3pQJI1GA9/73vfgui5eeuklPTgSx3EAAN/4xjf0IADAww8/DCid9Kji1CW5VsrrIeo1WPLLVg7lfV1ZX65nSUhayDnrJI0+/vjjYNlbb70FAMjlcsa6JK9CvPrqq3pQKNd1jfv7zne+oy+KJE5+IGZfqB/TdTebzWJtbU1fNWDapt+1GjHrptTxSqUSzCGhnmvccjTovppO9iUkrqa2TD+ffvVCj1vU9Fb16+uY0kfo8Z2amkKpVOpqG1Rh5w5LuJrf6twl+nwEelzC+mIYcF1ptVpYW1sL4qrur9hnThxpC019e5u1tbVI9UXiE1Zn5fz1MhM3PemQ0H+y3y/yaJw86pZOp/10Ou27rhuss76+Hjz64ziOn8lkuh4vzufzXftUH1GV9eURJlmmPv7W71EXW7j+WNT6+nrXceS4tVrNuL6vnH8ulwvOUY9vOp3uecxPfZxWzlEe71PTJir1UU85vuwfhkcT1TSWY+ppbHv8V80T9Rj642Wm9PITlAc/wfmZLC4u9uRLJpPx19fXg3XU47iu23McdV0/YvkPk8vl/MXFxSCtZX8ZyyPQnucF6ZbL5YIyI8fW4xdFnDSUddU8lXpj+lPzVX+M2EbNA8kjdT96/feVeMm2kndq+pjSxlYHJB8RMV36UR/HV8nx9DqiknVM8TeJsk8h66rlbdD5ub6+Hmwj+SLHlT89jdU8kTbCcZwgDZrNZtc+JO/UdkXa7Sik3OhxcxzHz+fzfR+rlm12dnas15u9SrLfuHVJjqGW/yhp63leVzupHkeNw6CY2knJA1s9qdVqseKhrm/Kfzm/qPXAT5AfcftCYdRruNRD9dhqWook1+okdVPWl/SJeiwb2d8g+momUfuKet71O58k6W3Sr69jSh/f0lZLfCQeGa2cyPp6Gy5M4Xr6ZDrXavX85DUZNS5h1/NB1hW9fyz7Uo+vp4PaPsu2ku7qcj0O+rH0bfT6InmUTqe79iOk3XK0vkbc9KTDI9oVawCkkYT2Tq8UWvVCrzceO8p7gWphkvfTcrmc9eKmHqtfR8cWbmvUTOv6lvXV80+HvAOrXvSbynuzegOtvptnioOJVGDXdXs6HnKB1Cu/ulxtLNQ0zuVywXKp+Hp8fWVfegNiSq8k5SHJ+YWRtNUvQJKXToz3NvuV/7hMHVWVesGV89YbZlMehTGdl42sq+edjXrBjkLOT7+I+SH1yVfiZQqzlU81v9Vj1bT5DKKki43neX6hUDCWa99SR3SSt2HrqKLsU8i6UfMnbn7KDSjTudvaGl/JT0e7sSj1SjonpvZL8tuNeFPNV9JYjpkxdAb18iikHEn9t11v9iqXyxnTyiZJXVLjrreDYfklaZXWOqybm5vBcQaVHs1mM8gvNe5yjLD6Kuvo1xEb03XS87yuMha1rU+SH3H7QmGk/Ojtgnps9V3rJNdqP2HdVOtaXpuvQL3m6elmY2oDk/TV+pH96ZKcT9L0DiPH0euEKX3Uuq8eQ803GNp+2zGEKVxNH7XMSTptbm766NQV/f1/2/wVg6wrar3X67ct/8LaTs/zIrWd+rVO7btIPJrNpvH8hdQ/9VyTpCcdHr0tzD5RG0kTKZB6IRZSOdQG3tTYCOkgHMYBvakySOVSB1lSgfSGUaiNZxQSB9P+pPKrYWon29QIy4VFtvE8z8907tSa2BoYU3olKQ9xz68f27n3u2Ca4t6v/McVdq5+J31c1+1p/H2t86yX6TAS/zh/UfafpNNbKBR813WtnSpTffKVc9CX+yHl09SJFTXl1zm9nEQl+5c/U7mStkDv4Aq17YqS5r7WWYr6ZytvqiT5ubm56afTaWt9l46Gfv5h56y2X7YOvgz4TGluImmml7tmsxkMhNROlZByklZuKNquN3uhdiKjlsckdcnWqRem/FLrip4+vtZhHARTJ9cPaddVUdbRqW28+qcPHPpJkh+ma6gw9YXChJ374uKi77puV56brncq07U6ad2U89TbASGDIVOZNDGlW5K+Wj+yP12S80mS3v1I/PQ8N6WP7YaPkHzTrxW2YwhTuBxf35eQY9nqiqTVftWVXOcpDlsZNuVfv7ZTrRtS/tS201QmfUtayPmb0kfWV+Nu2ofKlJ50ePS2MPuk3wAkrNMspEBLAZR9Op1HLPtdNPt1oGzhtgbAtK5vWV/iqnboVKb0kf2YKr2vVfIo1PMrFArWhkHIhcEW5yTk+KZGW02vJOUh7vn1Y4qrHMN208K35Ispf/dir/tTO/796o2Q9eP86XVGJ/EIuygmYUsfiZetXEm45HmU/JaLtq2j0o9reKxNT7em9rSOmmc17UkBfVsbqXdx/vT01O1XftraZllmSnsZIIa1X1JObJ3juCQP1Q5hs/NLsZ4mtnNKSq3TUctAFKa6pMbd1H6Yzq1fWqs31PZKOp4wlA3bclWUdVTqTVKpz1InHcfZ9/yQZVH7QmGkXUin09Z2UpXkWp20bkrcbAMuU18ijGl9Oa4tbqb070fOX2c6vsoUniS9+5H19fJuOr6sa+tf2X6Ish1DmMJNxxf9bhD6luv3IOtKP6b4m9pGnWwnA2tTXdCZ0l1urOplOckNV9+SnnR4DG1SvH5kAp9nn30W2WzW+Cc+++wzAMBjjz0Gx3HQbrdx+vRp3H777cHELYd18gbTpDk2MqnZF77wBT0I6MxuHcf09HQwEdfCwgJc1w0mAjFNVPLRRx8BMeOsajQaqFQqWFtbCybJiypJeYh7fknIpFgPPPCAHhRQ82VQxx00dVKZuN+r39nZgf+Pm4HWvygqlQpOnz4NdGapjlueVZVKBVtbWygWi5idne07w3fU2Xz/9re/AX3yO065Nrl27Rq2t7dx7do1rK6uAp3yq05mMz4+jl/96ldwHAcrKyu4++67kc1mMTU1haNHjwIAFhcXg/XjKBQKPfmn/5km8NMNMj/r9ToqlQqKxSLm5uYSfbP9k08+AQB4ntfTdsifzJKuTpq2F9///vcB7Vv1zzzzDDzPw/PPP7+nNAlTKpWCtM/n85ifn9dXiSxuXYp6ffjrX/8KALjvvvv0IKCzn6Qz/6vm5uaC78Gvr6/3zH4/aFtbWzh16hTa7TZWV1eD+ry7u4udnR2gU59NE4tFESU/BtkXevrppwEA1WoVp06dCiY5LJVKxsn4klyr91o3b731Vn3RwEUt18OWJL0HRS1L6gSuqi996Uv6on2hntuZM2d60iCbzeLJJ58EtAlCB1lXVK1WC5VKBaVSCcViEdlsFuVyWV8tEHZNvf/++wGlnrz//vtASNsJJd3VY548eRKO46BarXbVXZkY9Cc/+UmwLGl60iGij/D3S7+7mnJnKMqfegfP67ynJnct1b+MMvmIH+HOmC3cdJfNV+KsM63f7/xN4abz1dniYNNsNv1C55E+2Vb+XNftuusrcdLPO0yz8z6PKT/UZf3uwurbhv2p+4pzfv2Y9m/KJxN926jbRTWI/ckvSLbHq3T6OYWRdW1lR17XQMivLf3IY9pqHsuf7FtPn37noIdHSWdZx7bPuOSRTtMjk7VaLXjMT9YpFApBvUOM/DTVOxtZ15YOg8hPOTc1H+VPbTtUssyU9pIvUf5s5xWX/PIhv2DIv037t11v4pLyghh5r4tbl/rF3RQepbzJOkk0lUnWHMP8JkLOxxbuK+XK9iukStLNdl5qWth++dLFzQ8/Zl+on52dHWtd1J8Q0sPD/vR2Ncqfep79ylC/cJ1p/X5tfr9wEzkXnen4KlO4nj5hf2FlXGVbXz++qV7rZB09fWzHEKZw/fgqNS5R/lSDrCsFS38TSl1V429LH5WUMdkuLB2ELW/k+qBeGyReavu2l/Skw+HQ/EIvms0mfMMvROqfesd9YmICy8vLuH79Omq1GgqFQvDd13K5jOPHj/d8zuFmNj4+jvn5eVy7dg2e52F1dRW5XA7o3C0/depUz6/K8j3zflqdT0fJryO5XA6FQgGbm5uo1Wq4fv26vklfcctDkvOLI+4vA5/73Of0RUPTaDRCy77cZf2Xf/kXPWhftVot5HI5tNttZDIZnD9/Xl+lr1KphFOnTqFarSKdTmNxcRGrq6vY2dlBs9nEuXPn9E0SufPOO/VFPeQu+qB8/etfBzrlVXfkyBGUSiVcv34dvu/j2rVrmJ+fx/j4OHZ3d4Eh/kIiBpGf9Xodx48fx8bGBlzXRT6fR6FQwM7ODjzPw+9//3t9k8gWFxd72gz9b3t7W9/MKuxXnE8//RTofMIMQPBpunK53PVJo1QqhZmZmWA7WRanbZL29sKFC3AcB+vr6z3fpY9iWHXJ9oueKqy9ClOv13Hs2DGUy2W4///2zu+1tevK48t/QNscO09tKYOPAxNKcGmltKR2IYEbqfeWkjCZSLcXSmFCb+2GgdDUbuSGPszcTKS0DJQQy6WBMpBI7mRIH0aOfQO9UCthEitFZlryUB8xlEyfpKu0/QPOPETrzDpLe59flmUr+X7AJPfsffaPtddae+2js/dxXbp165b1l3l+24bHSpPkV0hJp9MhIqL77rtPJxGN3hzjz+sleRsq63hMMhZaWVmhZrNJvu9Tq9WiSqUS6PT29jZdu3ZN35J6rqYzsM2PElnk/WEkl8uN9dv0J5mUrayvr9Pm5iZ5nkeFQoGq1So1Go3gLcaoN/ui0DHFHXfcEfp3FOxrmEcffZRIfIZzb28vmKtN/i2LPMHF4MIs6FkJ33rrLZ2UmOXlZdrY2KCjoyPqdrtEo0VLkkmUIib484JfyeHXvDVRgWUSFhcX6fr169RsNqnf7wcT9ptvvkkkFjNRjm1paYny+TwdHx/TK6+8Qp1Oh1zXpT/84Q/UbDZpY2ODLl++nPpV00noQ1z/ssCLJd4OYUKOS9p+T4r5+XlyXZdef/11nUQ0GlNeMH7qU5/SyWfKd7/73UBPXnrpJZ2ciPX1dSIiqtfrdHR0RDdu3KDr16/TysrKRF+VvPvuu4nUa2wa+Xp1HMfHx1RU3/6dBL1eL1hYcJunxSTG81/+5V9oOBxSqVSik5MTeuGFF2hjY4NWVlaMQUcS+OHbzZs3dVImdnZ2aG5ujv7u7/5OJwX893//N5FY0H/hC1+gQqFg/OMAkka+vlAoJH4AyIv5g4MDchyHbt26NfZt5qRMy5bYF0Y9IGYdTgM/DPI8j3K5HL311luRfpdfZ33jjTd0EpFYdMvxOS3z8/P6kpVJjMdpYyHJ5cuX6caNG6EtQdIfZpmrJ22bHyWyyHtSyAcEtvjTFq9GERVj2mBf2el0Mt3PZLWV4+Pj4MerbrdL+/v7tLGxQeVyOdGDlKgYku2CY3B+1Z5fvTdh2w66vLxMrusGr93z6/Z6G9uk5AnOjwuzoOdghH/R0PR6PZqbm6N8Ph/sBSkWizQ/P290LKzEEhksmRSWFf2i8PDDDxMR0auvvqqTiIjol7/8pb4UydbWFi0tLYX25jILCwv04IMPhq6xY+h0OkYZt9tt8jyPPM+j5eXl4Kni0tKSMfBoNpv6kpUs+pC2f1lYGf3aMhwOrf3h+vnNgPOA+/qLX/xCJxER0Ysvvkg0WnhEBb+Tplar0e7uLjmOQ//xH/9h1JMk8NsFtl+jef/laZF+xDTevV4vcrGvWV5eDiZyU3lERM8//zyR0p92u01zc3NUFPsjJTyepVIps0yzMKnx5H2ytj2CL7/8sr4Uy6VLl4hG/sv2y/f6+jrNz88n2t/8pS99iWj05oSpvMFgEAR4Dz30EBER3bhxg/b3941///qv/xrcy9eS2mKxWAx+we10OonvMzEtW+LxODg4MO7FttlDFL1ej+6//34aDoe0trZG+/v7sTr45S9/mYiIdnd3jXEA+8zHHntMJxnhhb/tQTHPk5TwYVuW8UgbC9ngB462BxA8hpIsc/WkbfOjRBZ5TxKel2zzHv8SrOEHEaYfzmw/PEQh9ZrnP02z2aS5ubnQw85J2Yrcc27yv3GxwXA4NOr+8fFx8GCTY3D+cW93d9c6ps899xyRWDdIeK/866+/HvhZbctZ5QkuEPod/LMibt+RPGFR79HyxLcZ5f28ZzRn+DSXPG1ZlsV7XfRnF+Qnc7RYbPtXOK+u25Q/rv+m9P6Ev0MvZaL3MXXF91Vlmk3Gcky4n9wmx3DCdaPRCO1XitsnlUUfsvQvClNbfTFWpnrkuMg00/iehrjy5H4orbe2NsaR5h5T3fIU7jRnGZiw2YXneaG9n1o+cX0wpUu9ltelHup7oojSH07T5UlfoL96IcdT+6IoTHZng/Oa7I0mMJ48Zjn1PV8+E4ProRR76H1RrknWWeyA5ZBT3862+aQopI2mQepP0j3ZUWSxpbi229LlOOv9m3J+SIpJL5PAY6XnFt5vmka2fE4CGc4wkPNO0rMlsoyHbZ72I2IhGzJG0vm5Hll3lrnaz2ibcT4rLl1jyh83t8alm+C+6LEx1S8xpWeVdxQmWfuW+qVty7moH/Mdeqmjss3a9tOMt9QTbXuyXHn/pGxFjoOekw8PD0OxgU1+joqVu+KLNdpfsCx0u6Xcbe32xKfwyOBbmCzyBBeH5DPnKUniBGWA6Iy+by6NQjsCGeRy2QX1+SdtaLIO/bkoebiQxOZUuG1cDhumKX9c/23pMiBgmXB7pWySwm3j+7WMtaH3+/1QOstYliHzmsaDr8m65ALAJC8/gz74GfoXBd+jJzlffRaJx1/2XeudbXyzkqS8KF03tTGOKHloOK8cU63HUX9xcP9l33icHccJTdqSuD7Y0uV4s17Jf5vuicJUXpT++GcwntwHbXcmOK8cm0mOpw5y+D6+Jn2ztHm+ZpO99l9JZW1Dl6fbafJJNmSfTZhsXPvYuL8kZLGluLbb0k3yk3WxPidB1hH3p3Uwal4l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\"\u003e\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e2.2 Multifrequency Double Mud Siren Experiment\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eFollowing the success of the simulation, the physical experiments were performed in a similar manner within the flow-loop facility. Two new mud-sirens were created and fitted in the flowloop in series and parallel configuration (Fig. 12 \u0026amp; 13)\u003c/p\u003e\n\u003cp\u003eTransmission tests were carried out at a flow rate of 25 m\u003csup\u003e3\u003c/sup\u003e/h which is very stable for the flow loop and at passband frequencies of 15Hz and 39Hz as recommended from previous research. All sensors and Siren positions in series and parallel also remain constant through all the experiments.\u003c/p\u003e\n\u003cp\u003eThe first experiment was the single vs double mud siren practical scenario. The double mud siren was operated in a synchronous manner. \u003cins cite=\"mailto:ADETILOYE%20Bamisebi\" datetime=\"2023-08-15T11:32\"\u003eThe\u0026nbsp;\u003c/ins\u003eresults in Figures 14 and 15\u003cins cite=\"mailto:ADETILOYE%20Bamisebi\" datetime=\"2023-08-15T11:32\"\u003e\u0026nbsp;show\u003c/ins\u003e the frequency Fast Fourier Transform (FFT) amplitude of the whole signal transmitted with 15 Hz, 0.8s time slot in series and parallel respectively.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe \u003cdel cite=\"mailto:ADETILOYE%20Bamisebi\" datetime=\"2023-08-15T11:33\"\u003eabove\u0026nbsp;\u003c/del\u003eresult shows there was a significant amplitude increase in the synchronous double mud siren test compared to the single mud siren in both configurations (Table 2). This affirms the previous simulation results and confirms the theory that when the double siren is used to transmit same carrier frequency in a synchronized manner, there will be an increase in signal FFT amplitude.\u003c/p\u003e\n\u003cp\u003eTable 2 Experimental flowloop FFT amplitudes for the Single vs Double mud siren in series and parallel\u003c/p\u003e\n\u003ctable\u003e\n \u003ctbody\u003e\n \u003ctr style=\"mso-yfti-irow: 0; mso-yfti-firstrow: yes; mso-prop-change: 'ADETILOYE Bamisebi' 20230817T1040; mso-table-inserted: 'ADETILOYE Bamisebi' 20230817T0945;\"\u003e\n \u003ctd rowspan=\"2\" style=\"width: 66px;\"\u003e\n \u003cp\u003e\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 284px;\"\u003e\n \u003cp\u003e\u003cstrong\u003e15 Hz\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 273px;\"\u003e\n \u003cp\u003e\u003cstrong\u003e39 Hz\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 104px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eSingle Siren\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 102px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eDouble Siren\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 78px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eDouble Siren repeat\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 91px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eSingle Siren\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 98px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eDouble Siren\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 84px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eDouble Siren repeat\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eSeries\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 104px;\"\u003e\n \u003cp\u003e42.36\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 102px;\"\u003e\n \u003cp\u003e64.75\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 78px;\"\u003e\n \u003cp\u003e64.33\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 91px;\"\u003e\n \u003cp\u003e13.28\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 98px;\"\u003e\n \u003cp\u003e17.92\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 84px;\"\u003e\n \u003cp\u003e17.57\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eParallel\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 104px;\"\u003e\n \u003cp\u003e43.99\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 102px;\"\u003e\n \u003cp\u003e51.81\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 78px;\"\u003e\n \u003cp\u003e52.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 91px;\"\u003e\n \u003cp\u003e3.074\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 98px;\"\u003e\n \u003cp\u003e5.955\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 84px;\"\u003e\n \u003cp\u003e5.813\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eAfterwards, a double mud siren multi-frequency transmission test was performed with both sirens (mud siren 1 and 2) operating simultaneously with different carrier frequencies (15hz and 39hz) but at the same time slot and duration. Modulation was done with On-Off keying (OOK). The aim of the test was to show that both sirens can successfully transmit different frequencies simultaneously.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eFigures 16 and 17 below show the results of the double mud siren transmission test in series and parallel. The bottom part of each figure shows the transformation of the filtered information signal into CWT using a morlet wave. The signal in the appropriate morlet wave scale shows that the signal was successfully transmitted and received.\u003c/p\u003e\n\u003cp\u003eIn the final \u003cdel cite=\"mailto:Lukas%20Ochmann\" datetime=\"2023-07-30T16:54\"\u003eparticular\u0026nbsp;\u003c/del\u003etest performed, the double mud siren was used for transmitting different binary data strings with different Frequencies. The aim of the test was to implement a scenario close to reality on the field. Two different sets of data string were transmitted with different frequencies using a transmission time slot of 0.8s in series and 0.6s in parallel (Table 3 and 4\u003cdel cite=\"mailto:ADETILOYE%20Bamisebi\" datetime=\"2023-08-15T11:47\"\u003eTable xxx\u003c/del\u003e). Mud siren 1 transmitted using a carrier frequency of 39 Hz while mud siren 2 used a carrier frequency of 15 Hz in both series and parallel configuration. Both data strings were modulated using On-Off keying (OOK).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eFigures 18 and 20\u003cdel cite=\"mailto:ADETILOYE%20Bamisebi\" datetime=\"2023-08-15T11:55\"\u003eFigure xxx\u003c/del\u003e shows the mixed data string as pressure signal and the subsequent extracted information signal after applying the mud siren filter for 39 Hz and 15 Hz. The extracted signal for both sirens are transformed and presented using Continuous Wavelet Transform (CWT) (Figures 19 and 21\u003cdel cite=\"mailto:ADETILOYE%20Bamisebi\" datetime=\"2023-08-15T11:55\"\u003eFig. xxx\u003c/del\u003e). In the CWT interpretation, when the wave shows up on the scale, it represents binary \u0026ldquo;1\u0026rdquo;, while no wave represents binary \u0026ldquo;0\u0026rdquo;.\u003c/p\u003e\n\u003cp\u003eThe results of the CWT interpretation show that we successfully transmitted and received real binary string data with both sirens operating simultaneously at different frequencies. Both series and parallel configurations were successful.\u003c/p\u003e\n\u003cp\u003eTable 3\u0026nbsp;Data strings transmitted via Mud Siren 1 \u0026amp; 2 using 39 Hz and 15 Hz frequency respectively with a 0.8s time slot in a series configuration\u003c/p\u003e\n\u003cdiv align=\"Left\"\u003e\n \u003ctable border=\"1\" cellspacing=\"0\" cellpadding=\"0\" width=\"625\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 325px;\"\u003e\n \u003cp\u003eMud Siren 1: Data string transmitted with 39 Hz\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 24px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 325px;\"\u003e\n \u003cp\u003eMud Siren 2: Data string transmitted with 15 Hz\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 24px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 31px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 4:\u0026nbsp;Data strings transmitted via Mud Siren 1 \u0026amp; 2 using 39 Hz and 15 Hz frequency respectively with a 0.6s time slot in a parallel configuration.\u003c/p\u003e\n\u003cdiv align=\"Left\"\u003e\n \u003ctable border=\"1\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 322px;\"\u003e\n \u003cp\u003eMud Siren 1: Data string transmitted with 39 Hz\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 24px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 322px;\"\u003e\n \u003cp\u003eMud Siren 2: Data string transmitted with 15 Hz\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 24px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 30px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e"},{"header":"3. Multi-frequency Mud Siren Future Work","content":"\u003cp\u003eHaving proven the use of the Multi Frequency Mud Siren concept practically, it is necessary to seek ways of adapting the concept to real field scenarios. In series, putting two separate units of the mud siren in the drill string is easy to implement but this will lead to a longer tool section length. For the parallel case, having two mud siren units side-by-side will mean having huge variation in diameter within the BHA which is not desirable and can lead to drilling complications under certain conditions.\u003c/p\u003e \u003cp\u003eHence, the need for a prototype design applicable in real field scenarios. A prototype concept proposed is called the Compact Multi Frequency Mud Siren (CMFMS). A Compact Multi Frequency Mud Siren (Fig.\u0026nbsp;\u003cspan refid=\"Fig22\" class=\"InternalRef\"\u003e22\u003c/span\u003e) consists of two mud sirens combined to produce one compact siren capable of generating two distinct frequencies simultaneously either in series or parallel. This will involve creating a unique type of motor that will be capable of driving both rotors at different frequencies. This is a focus for future work in this direction.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e"},{"header":"4. Conclusion","content":"\u003cp\u003eThe need for increased data transmission rate to be able to handle the increasing data generated in the field has been established and the Institute of Drilling Engineering and Fluid Mining (IBF) TU Bergakademie Freiberg has taken several steps in the right direction in contributing to this area of research. The application of the multifrequency mud siren concept to increase data transmission rates in mud pulse telemetry was investigated via simulation and experiments.\u003c/p\u003e\n\u003cp\u003eANSYS CFX simulation model simulation runs in series and parallel were executed. Analysis of the simulation results for the single mud siren and double mud siren operating with the same frequency confirmed the theory of amplitude amplification. In both the series and parallel scenario, the double mud siren generated far greater signal amplitude compared to the single mud siren. Simulation runs were also performed with the multifrequency siren operated with different frequencies (15 Hz and 39 Hz). Results showed that the signal transmission and reception was successful in series and parallel from two mud sirens operating simultaneously with different frequencies.\u003c/p\u003e\n\u003cp\u003ePractical transmission tests in series and parallel showed that when the multi frequency mud siren is operated in a synchronized manner with same frequency and time slot, signal amplification between 35% to 65% is achieved. In the same vein, the multifrequency mud siren was tested with both mud sirens operating simultaneously with different frequencies and different timeslots in series and parallel. The transmission of signal by the multifrequency mud siren was successful and the received signal extracted.\u003c/p\u003e\n\u003cp\u003eFurthermore, binary data strings were transmitted with the multifrequency mud siren in the flowloop. The aim was to mimic real binary transmission as done on the rig. Each individual mud siren transmitted a different data string at different frequencies. The transmission and reception of the data strings was successful within the flow loop both in series and parallel. The results analyzed on MATLAB and subsequent wavelet transformation showed good transmission and reception of binary data string. This result proves the doubling of data transmission rate (100%) by the plurality of mud sirens operating simultaneously at different frequencies.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003eAll authors contributed to the study conception, read and approved the final manuscript. All of the material is owned by the authors and/or no third party permissions are required.\u003c/p\u003e\n\u003cp\u003eFunding declaration: not applicable\u003c/p\u003e\n\u003cp\u003eI hereby declare and consent to publishing this manuscript. I also declare and grant approval as regards ethics and consent to participate.\u003c/p\u003e\n\u003cp\u003eI declare that the authors have no competing interests as defined by Discover, or other interests that might be perceived to influence the results and/or discussion reported in this paper.\u003c/p\u003e\n\u003cp\u003eThe results/data/figures in this manuscript have not been published elsewhere, nor are they under consideration (from you or one of your Contributing Authors) by another publisher.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe datasets generated during and/or analysed during the current study are not publicly available due university policies but are available from the corresponding author on reasonable request.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n \u003cli\u003eB. J. Patton \u003cem\u003eet al.\u003c/em\u003e (1977) Development and Successful Testing of a Continuous-Wave, Logging-While-Drilling Telemetry System, Journal of Petroleum Technology, vol. 29, no. 10, pp. 1215\u0026ndash;1221, doi: 10.2118/6157-PA.\u003c/li\u003e\n \u003cli\u003eR. F. Spinnler and F. A. Stone, (1978) Mud pulse logging while drilling telemetry system: design, development, and demonstrations, BERC/TPR-78/4, 6900992, doi: 10.2172/6900992.\u003c/li\u003e\n \u003cli\u003eHutin, R.;Tennent, R.W.; Kashikar, S.V. (2001) New mud pulse telemetry techniques for deepwater applications and improved real-time data capabilities. SPE/IADC 67762.\u003c/li\u003e\n \u003cli\u003eR. Hutin, S. B. Mehta, A. Battentier, and H. Yu, (2010) Multi-stage modulator, US20100230113A1, https://patents.google.com/patent/US20100230113/en\u003c/li\u003e\n \u003cli\u003eW. C. Chin, (1996) Measurement-while-drilling system and method, US5583827A, https://patents.google.com/patent/US5583827A/en?oq=5%2c583%2c827\u003c/li\u003e\n \u003cli\u003eBerro, M. J. (2019) Development and Testing of Alternative Methods for speeding up the hydraulic data transmission in deep boreholes, TU Bergakademie PhD Thesis. https://nbn-resolving.org/urn:nbn:de:bsz:105-qucosa2-331064.\u003c/li\u003e\n \u003cli\u003eM. Sommer, M. Reich, M. J. Berro, (2016) Mud-Sirenen-Anordnung, Technische Universit\u0026auml;t Bergakademie Freiberg, DE102015017138.\u003c/li\u003e\n \u003cli\u003eBerro, M. J.; Reich, M. (2019) Laboratory Investigations of a Hybrid Mud Pulse Telemetry\u003cdel cite=\"mailto:Mouhammed%20Jandal%20Berro\" datetime=\"2022-04-26T13:18\"\u003e\u0026nbsp;\u003c/del\u003e\u003cins cite=\"mailto:Mouhammed%20Jandal%20Berro\" datetime=\"2022-04-26T13:18\"\u003e\u0026nbsp;\u003c/ins\u003e(HMPT) \u0026ndash; A new Approach for Speeding up the Transmitting of MWD/LWD Data in Deep Boreholes, Journal of Petroleum Science and Engineering (ELSEVIER), Volume 183,106374 (https://doi.org/10.1016/j.petrol.2019.106374).\u003c/li\u003e\n \u003cli\u003eNamuq, M. A., Reich, M. (2010) Laboratory experiments on pressure wave propagation in drill strings (mud pulse telemetry), OIL GAS European Magazine 3, vol. 36,119\u0026ndash;125.\u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"discover-applied-sciences","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"Learn more about [Discover Applied Sciences](https://link.springer.com/journal/42452)","snPcode":"42452","submissionUrl":"https://submission.springernature.com/new-submission/42452/3","title":"Discover Applied Sciences","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Discover Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Mud siren, Multi-Frequency, Mud Pulse Telemetry, Flowloop, Data transmission","lastPublishedDoi":"10.21203/rs.3.rs-5808675/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5808675/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eSeveral methods exist for data transmission during deep drilling albeit with inherent drawbacks. Amongst these, the most common method for data transmission in deep boreholes remains \u0026ldquo;Mud Pulse Telemetry\u0026rdquo; which sends information through the drilling mud inside the drill string by means of coded pressure pulses. Due to the limitation in data transmission rate, efforts have been on to seek ways of improving data transmission rate in Mud Pulse Telemetry. One of such efforts is exploring the plurality of Mud sirens for signal amplification and increased data transmission rate.\u003c/p\u003e \u003cp\u003eThe objective of this research is to push the boundaries of the plurality of mud sirens beyond theories into practical experiments. Investigation was done on the Multi-frequency mud siren concept by simulations and practical experiments within the specially built flowloop facility in the Institute for Drilling Engineering and Fluid Mining, Technische Universitat Bergakademie Freiberg.\u003c/p\u003e \u003cp\u003eVarious scenarios, frequencies, timeslots and set-up configurations (series and parallel) were explored. Numerical simulation was done using ANSYS CFX and resulting signals were duly processed and analyzed with MATLAB. The paper displays results of the simulation and experiment establishing the theory of signal amplification and increase in data transmission rate via the multi-frequency mud siren concept.\u003c/p\u003e","manuscriptTitle":"Multi-Frequency Mud Siren Simulation and Experiment for Increasing Data Transmission Rate in Mud Pulse Telemetry","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-04-11 09:00:22","doi":"10.21203/rs.3.rs-5808675/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"editorInvitedReview","content":"","date":"2025-05-10T13:20:15+00:00","index":"hide","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-05-09T15:25:46+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-04-18T09:17:54+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"147069157109862029644728666007962719421","date":"2025-04-16T02:46:30+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"133047167008954973001015866790629860755","date":"2025-04-15T06:55:42+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-04-10T13:27:59+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-04-10T04:25:02+00:00","index":"","fulltext":""},{"type":"submitted","content":"Discover Applied Sciences","date":"2025-04-08T07:38:21+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"discover-applied-sciences","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"Learn more about [Discover Applied Sciences](https://link.springer.com/journal/42452)","snPcode":"42452","submissionUrl":"https://submission.springernature.com/new-submission/42452/3","title":"Discover Applied Sciences","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Discover Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"17a0a14f-0975-494c-a842-019e8617ac1e","owner":[],"postedDate":"April 11th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2025-05-11T14:08:14+00:00","versionOfRecord":[],"versionCreatedAt":"2025-04-11 09:00:22","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5808675","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5808675","identity":"rs-5808675","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}