Scientific Computing Homework 5

Roger Jang


Due date: 20200601 23:59:59

QBSH by assigning singing pitch to music notes

Important info for all homework

Here is the original descriptions of the assignment in MATLAB: QBSH via Optimum Assignment of Singing Pitch to Music Notes. The descriptions for Python is similar so we will not repeat here.

Here is a file list of example code (to download them all: exampleCode.zip) for you to start with. The readme.txt of the example code folder is shown next:

This is the readme.txt file in example code for HW05 of Scientific Computing Your submission (you only need to submit one of the following): Python: myPvAlign.py Matlab: myPvAlign.m Example input/output files: input.txt: input file output.standard_python.txt: output file (the correct answer returned by Python) output.standard_matlab.txt: output file (the correct answer returned by MATLAB) Input/output file format: Input: Each two-row is a set of singing pitch vector and music note vector, with the first row being the singing pitch vector and the second row music note vector For each two-row, you need to generate a number of minimum distance of the alignment of these two vectors. For instance, "input.txt" has 96 rows, indicating there are 48 problems for the alignment, and you should generate 48 minimum distances. Output: A column vector of numbers, with each row being an answer to an alignment problem. Example main program to run the test: Python: mainTest.py, with the following command to run it. python mainTest.py < input.txt > output.python.txt Matlab: mainText.m, with the following command (within matlab) to run it. mainText input.txt output.matlab.txt Standard program for MATLAB myPvAlignSP.p is a standard program that can be invoked just like an M file in MATLAB to check against your submission of "myPvAlign.m". In particular, if you type "myPvAlignSP(PV, NOTE, 1), the program will show result of dynamic programming which assigns each point of PV to each note in NOTE.

For your reference, here is an example of using myPvAlignSP.p to do the fitting, together with some plots (if the input dimension is 1 or 2):

Example 1: ../exampleCode/mainTest02.mfunction output=mainTest(inputFile, outputFile) if nargin<1, inputFile='input.txt'; end if nargin<2, outputFile='output.matlab.txt'; end % Read input file fprintf('Reading input file "%s"...\n', inputFile); output={}; id=1; fidInput=fopen(inputFile, 'r'); if fidInput<0, error('Cannot open input file "%s"!', inputFile); end while ~feof(fidInput) pv=str2num(fgetl(fidInput)); notePitch=str2num(fgetl(fidInput)); figure; output{id}=myPvAlignSP(pv, notePitch, 1); drawnow; fprintf('id=%d, minDist=%f\n', id, output{id}); id=id+1; fprintf('\tpv=%s, note=%s\n', mat2str(pv), mat2str(notePitch)); end fclose(fidInput); % Write output file fprintf('Writing output file "%s"...\n', outputFile); fidOutput=fopen(outputFile, 'w'); if fidOutput<0, error('Cannot open output file "%s"!', outputFile); end for i=1:length(output) fprintf(fidOutput, '%.15f ', output{i}); fprintf(fidOutput, '\n'); end fclose(fidOutput);Reading input file "input.txt"... minDist=253.375 dpPath=[1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207;1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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67.236868 66.583468 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 67.236868 66.583468 66.583468 65.953868 65.953868 65.953868 65.346368 64.759468 64.759468 64.759468 65.346368 65.346368 65.346368 65.346368 65.346368 65.346368 65.346368 65.346368 65.953868 65.953868 65.953868 65.346368 65.346368 65.346368 65.346368 65.346368 65.346368 65.346368 65.346368 64.759468 64.759468 63.642168 64.759468 64.191768 64.191768 64.191768 64.191768 64.191768 64.191768 64.191768 64.191768 64.191768 64.759468 63.642168 65.346368 64.191768 64.191768 64.191768 64.191768 64.191768 64.191768 64.191768 64.191768 64.191768 64.191768 63.642168 62.592568 64.191768 62.592568 62.090768 61.603068 61.603068 61.603068 62.090768 62.090768 62.090768 62.090768 62.090768 62.090768 61.603068 63.642168 62.592568 62.090768 62.090768 62.090768 62.090768 62.090768 62.090768 62.090768 62.090768 62.090768 62.090768 62.090768 61.128768 61.603068 60.667068 60.217368 60.667068 60.217368 60.667068 60.667068 60.667068 60.667068 60.667068 60.217368 60.217368 60.217368 60.217368 60.217368 60.217368 61.603068], note=[60 60 62 64 67 67 64 67 67 69 71 72 72] minDist=152.984 dpPath=[1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 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120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207;1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9] id=3, minDist=205.782576 pv=[64.878936 63.860236 63.860236 63.860236 63.860236 63.860236 63.372536 63.372536 63.372536 63.372536 62.898236 63.372536 63.860236 63.372536 62.898236 62.898236 62.898236 62.898236 62.898236 62.898236 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23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207;1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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1 1 1 1 1 1 1 2 3 4 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12] id=5, minDist=186.747677 pv=[61.235071 60.216371 60.216371 60.216371 60.216371 60.216371 59.728671 59.728671 59.728671 59.728671 59.254371 59.728671 60.216371 59.728671 59.254371 59.254371 59.254371 59.254371 59.254371 59.254371 59.254371 59.254371 59.728671 60.216371 61.235071 62.317371 64.079471 64.079471 64.709071 64.709071 65.362471 65.362471 65.362471 65.362471 66.041471 66.041471 66.041471 66.041471 65.362471 66.748171 65.362471 65.362471 65.362471 65.362471 65.362471 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203 204 205 206 207;1 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9] id=44, minDist=187.364696 pv=[64.732656 63.713956 63.713956 63.713956 63.713956 63.713956 63.226256 63.226256 63.226256 63.226256 62.751956 63.226256 63.713956 63.226256 62.751956 62.751956 62.751956 62.751956 62.751956 62.751956 62.751956 62.751956 63.226256 63.713956 64.732656 65.814956 67.577056 67.577056 68.206656 68.206656 68.860056 68.860056 68.860056 68.860056 69.539056 69.539056 69.539056 69.539056 68.860056 70.245756 68.860056 68.860056 68.860056 68.860056 68.860056 68.860056 68.860056 68.860056 68.860056 68.860056 68.860056 68.860056 69.539056 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125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207;1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14] id=45, minDist=211.532919 pv=[60.773429 59.754729 59.754729 59.754729 59.754729 59.754729 59.267029 59.267029 59.267029 59.267029 58.792729 59.267029 59.754729 59.267029 58.792729 58.792729 58.792729 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12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207;1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] id=46, minDist=432.641233 pv=[61.516811 60.498111 60.498111 60.498111 60.498111 60.498111 60.010411 60.010411 60.010411 60.010411 59.536111 60.010411 60.498111 60.010411 59.536111 59.536111 59.536111 59.536111 59.536111 59.536111 59.536111 59.536111 60.010411 60.498111 61.516811 62.599111 64.361211 64.361211 64.990811 64.990811 65.644211 65.644211 65.644211 65.644211 66.323211 66.323211 66.323211 66.323211 65.644211 67.029911 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 66.323211 66.323211 67.029911 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.029911 67.029911 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.766811 67.029911 66.323211 65.644211 64.990811 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 65.644211 64.990811 64.990811 64.361211 64.361211 64.361211 63.753711 63.166811 63.166811 63.166811 63.753711 63.753711 63.753711 63.753711 63.753711 63.753711 63.753711 63.753711 64.361211 64.361211 64.361211 63.753711 63.753711 63.753711 63.753711 63.753711 63.753711 63.753711 63.753711 63.166811 63.166811 62.049511 63.166811 62.599111 62.599111 62.599111 62.599111 62.599111 62.599111 62.599111 62.599111 62.599111 63.166811 62.049511 63.753711 62.599111 62.599111 62.599111 62.599111 62.599111 62.599111 62.599111 62.599111 62.599111 62.599111 62.049511 60.999911 62.599111 60.999911 60.498111 60.010411 60.010411 60.010411 60.498111 60.498111 60.498111 60.498111 60.498111 60.498111 60.010411 62.049511 60.999911 60.498111 60.498111 60.498111 60.498111 60.498111 60.498111 60.498111 60.498111 60.498111 60.498111 60.498111 59.536111 60.010411 59.074411 58.624711 59.074411 58.624711 59.074411 59.074411 59.074411 59.074411 59.074411 58.624711 58.624711 58.624711 58.624711 58.624711 58.624711 60.010411], note=[55 60 60 60 60 60 62 64 64 64 64 64 67 67] minDist=272.127 dpPath=[1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207;1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 12 13 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15] id=47, minDist=272.127304 pv=[59.860192 58.841492 58.841492 58.841492 58.841492 58.841492 58.353792 58.353792 58.353792 58.353792 57.879492 58.353792 58.841492 58.353792 57.879492 57.879492 57.879492 57.879492 57.879492 57.879492 57.879492 57.879492 58.353792 58.841492 59.860192 60.942492 62.704592 62.704592 63.334192 63.334192 63.987592 63.987592 63.987592 63.987592 64.666592 64.666592 64.666592 64.666592 63.987592 65.373292 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 64.666592 64.666592 65.373292 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 65.373292 65.373292 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 66.110192 65.373292 64.666592 63.987592 63.334192 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.987592 63.334192 63.334192 62.704592 62.704592 62.704592 62.097092 61.510192 61.510192 61.510192 62.097092 62.097092 62.097092 62.097092 62.097092 62.097092 62.097092 62.097092 62.704592 62.704592 62.704592 62.097092 62.097092 62.097092 62.097092 62.097092 62.097092 62.097092 62.097092 61.510192 61.510192 60.392892 61.510192 60.942492 60.942492 60.942492 60.942492 60.942492 60.942492 60.942492 60.942492 60.942492 61.510192 60.392892 62.097092 60.942492 60.942492 60.942492 60.942492 60.942492 60.942492 60.942492 60.942492 60.942492 60.942492 60.392892 59.343292 60.942492 59.343292 58.841492 58.353792 58.353792 58.353792 58.841492 58.841492 58.841492 58.841492 58.841492 58.841492 58.353792 60.392892 59.343292 58.841492 58.841492 58.841492 58.841492 58.841492 58.841492 58.841492 58.841492 58.841492 58.841492 58.841492 57.879492 58.353792 57.417792 56.968092 57.417792 56.968092 57.417792 57.417792 57.417792 57.417792 57.417792 56.968092 56.968092 56.968092 56.968092 56.968092 56.968092 58.353792], note=[64 55 55 55 64 64 62 62 62 55 62 62 55 62 60] minDist=144.802 dpPath=[1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207;1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11] id=48, minDist=144.802429 pv=[63.044347 62.025647 62.025647 62.025647 62.025647 62.025647 61.537947 61.537947 61.537947 61.537947 61.063647 61.537947 62.025647 61.537947 61.063647 61.063647 61.063647 61.063647 61.063647 61.063647 61.063647 61.063647 61.537947 62.025647 63.044347 64.126647 65.888747 65.888747 66.518347 66.518347 67.171747 67.171747 67.171747 67.171747 67.850747 67.850747 67.850747 67.850747 67.171747 68.557447 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.850747 67.850747 68.557447 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 68.557447 68.557447 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 69.294347 68.557447 67.850747 67.171747 66.518347 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 67.171747 66.518347 66.518347 65.888747 65.888747 65.888747 65.281247 64.694347 64.694347 64.694347 65.281247 65.281247 65.281247 65.281247 65.281247 65.281247 65.281247 65.281247 65.888747 65.888747 65.888747 65.281247 65.281247 65.281247 65.281247 65.281247 65.281247 65.281247 65.281247 64.694347 64.694347 63.577047 64.694347 64.126647 64.126647 64.126647 64.126647 64.126647 64.126647 64.126647 64.126647 64.126647 64.694347 63.577047 65.281247 64.126647 64.126647 64.126647 64.126647 64.126647 64.126647 64.126647 64.126647 64.126647 64.126647 63.577047 62.527447 64.126647 62.527447 62.025647 61.537947 61.537947 61.537947 62.025647 62.025647 62.025647 62.025647 62.025647 62.025647 61.537947 63.577047 62.527447 62.025647 62.025647 62.025647 62.025647 62.025647 62.025647 62.025647 62.025647 62.025647 62.025647 62.025647 61.063647 61.537947 60.601947 60.152247 60.601947 60.152247 60.601947 60.601947 60.601947 60.601947 60.601947 60.152247 60.152247 60.152247 60.152247 60.152247 60.152247 61.537947], note=[60 60 62 64 65 69 67 64 67 65 62 69 67 64] Writing output file "output.matlab.txt"... ans = 1¡Ñ48 <a href="matlab:helpPopup cell" style="font-weight:bold">cell</a> array Columns 1 through 7 {[253.3754]} {[152.9842]} {[205.7826]} {[221.0440]} {[186.7477]} {[172.7034]} {[90.0693]} Columns 8 through 14 {[85.3952]} {[275.3669]} {[281.0478]} {[223.1315]} {[207.6070]} {[174.6183]} {[154.6877]} Columns 15 through 21 {[180.6089]} {[306.4306]} {[154.7332]} {[181.2828]} {[184.3434]} {[139.2917]} {[153.1116]} Columns 22 through 28 {[97.6964]} {[150.0673]} {[208.7932]} {[135.2724]} {[121.4977]} {[121.7333]} {[233.0250]} Columns 29 through 35 {[215.2903]} {[299.8289]} {[118.6850]} {[187.2423]} {[161.2066]} {[137.6202]} {[184.6319]} Columns 36 through 42 {[214.6560]} {[157.6340]} {[85.2126]} {[216.6207]} {[200.4912]} {[193.4357]} {[192.2125]} Columns 43 through 48 {[174.7885]} {[187.3647]} {[211.5329]} {[432.6412]} {[272.1273]} {[144.8024]}