Case 1: 1
Case 2: 1
Case 3: 2
Case 4: 1
Case 5: 3
Case 6: 3
Case 7: 1
Case 8: 4
Case 9: 6
Case 10: 4
Case 11: 1
Case 12: 5
Case 13: 10
Case 14: 10
Case 15: 5
Case 16: 1
Case 17: 6
Case 18: 15
Case 19: 20
Case 20: 15
Case 21: 6
Case 22: 1
Case 23: 7
Case 24: 21
Case 25: 35
Case 26: 35
Case 27: 21
Case 28: 7
Case 29: 1
Case 30: 8
Case 31: 28
Case 32: 56
Case 33: 70
Case 34: 56
Case 35: 28
Case 36: 8
Case 37: 1
Case 38: 9
Case 39: 36
Case 40: 84
Case 41: 126
Case 42: 126
Case 43: 84
Case 44: 36
Case 45: 9
Case 46: 1
Case 47: 10
Case 48: 45
Case 49: 120
Case 50: 210
Case 51: 252
Case 52: 210
Case 53: 120
Case 54: 45
Case 55: 10
Case 56: 1
Case 57: 11
Case 58: 55
Case 59: 165
Case 60: 330
Case 61: 462
Case 62: 462
Case 63: 330
Case 64: 165
Case 65: 55
Case 66: 11
Case 67: 1
Case 68: 12
Case 69: 66
Case 70: 220
Case 71: 495
Case 72: 792
Case 73: 924
Case 74: 792
Case 75: 495
Case 76: 220
Case 77: 66
Case 78: 12
Case 79: 1
Case 80: 13
Case 81: 78
Case 82: 286
Case 83: 715
Case 84: 1287
Case 85: 1716
Case 86: 1716
Case 87: 1287
Case 88: 715
Case 89: 286
Case 90: 78
Case 91: 13
Case 92: 1
Case 93: 14
Case 94: 91
Case 95: 364
Case 96: 1001
Case 97: 2002
Case 98: 3003
Case 99: 3432
Case 100: 3003
Case 101: 2002
Case 102: 1001
Case 103: 364
Case 104: 91
Case 105: 14
Case 106: 1
Case 107: 15
Case 108: 105
Case 109: 455
Case 110: 1365
Case 111: 3003
Case 112: 5005
Case 113: 6435
Case 114: 6435
Case 115: 5005
Case 116: 3003
Case 117: 1365
Case 118: 455
Case 119: 105
Case 120: 15
Case 121: 1
Case 122: 16
Case 123: 120
Case 124: 560
Case 125: 1820
Case 126: 4368
Case 127: 8008
Case 128: 11440
Case 129: 12870
Case 130: 11440
Case 131: 8008
Case 132: 4368
Case 133: 1820
Case 134: 560
Case 135: 120
Case 136: 16
Case 137: 1
Case 138: 17
Case 139: 136
Case 140: 680
Case 141: 2380
Case 142: 6188
Case 143: 12376
Case 144: 19448
Case 145: 24310
Case 146: 24310
Case 147: 19448
Case 148: 12376
Case 149: 6188
Case 150: 2380
Case 151: 680
Case 152: 136
Case 153: 17
Case 154: 1
Case 155: 18
Case 156: 153
Case 157: 816
Case 158: 3060
Case 159: 8568
Case 160: 18564
Case 161: 31824
Case 162: 43758
Case 163: 48620
Case 164: 43758
Case 165: 31824
Case 166: 18564
Case 167: 8568
Case 168: 3060
Case 169: 816
Case 170: 153
Case 171: 18
Case 172: 1
Case 173: 19
Case 174: 171
Case 175: 969
Case 176: 3876
Case 177: 11628
Case 178: 27132
Case 179: 50388
Case 180: 75582
Case 181: 92378
Case 182: 92378
Case 183: 75582
Case 184: 50388
Case 185: 27132
Case 186: 11628
Case 187: 3876
Case 188: 969
Case 189: 171
Case 190: 19
Case 191: 1
Case 192: 20
Case 193: 190
Case 194: 1140
Case 195: 4845
Case 196: 15504
Case 197: 38760
Case 198: 77520
Case 199: 125970
Case 200: 167960
Case 201: 184756
Case 202: 167960
Case 203: 125970
Case 204: 77520
Case 205: 38760
Case 206: 15504
Case 207: 4845
Case 208: 1140
Case 209: 190
Case 210: 20
Case 211: 1
Case 212: 21
Case 213: 210
Case 214: 1330
Case 215: 5985
Case 216: 20349
Case 217: 54264
Case 218: 116280
Case 219: 203490
Case 220: 293930
Case 221: 352716
Case 222: 352716
Case 223: 293930
Case 224: 203490
Case 225: 116280
Case 226: 54264
Case 227: 20349
Case 228: 5985
Case 229: 1330
Case 230: 210
Case 231: 21
Case 232: 1
Case 233: 22
Case 234: 231
Case 235: 1540
Case 236: 7315
Case 237: 26334
Case 238: 74613
Case 239: 170544
Case 240: 319770
Case 241: 497420
Case 242: 646646
Case 243: 705432
Case 244: 646646
Case 245: 497420
Case 246: 319770
Case 247: 170544
Case 248: 74613
Case 249: 26334
Case 250: 7315
Case 251: 1540
Case 252: 231
Case 253: 22
Case 254: 1
Case 255: 23
Case 256: 253
Case 257: 1771
Case 258: 8855
Case 259: 33649
Case 260: 100947
Case 261: 245157
Case 262: 490314
Case 263: 817190
Case 264: 1144066
Case 265: 1352078
Case 266: 1352078
Case 267: 1144066
Case 268: 817190
Case 269: 490314
Case 270: 245157
Case 271: 100947
Case 272: 33649
Case 273: 8855
Case 274: 1771
Case 275: 253
Case 276: 23
Case 277: 1
Case 278: 24
Case 279: 276
Case 280: 2024
Case 281: 10626
Case 282: 42504
Case 283: 134596
Case 284: 346104
Case 285: 735471
Case 286: 1307504
Case 287: 1961256
Case 288: 2496144
Case 289: 2704156
Case 290: 2496144
Case 291: 1961256
Case 292: 1307504
Case 293: 735471
Case 294: 346104
Case 295: 134596
Case 296: 42504
Case 297: 10626
Case 298: 2024
Case 299: 276
Case 300: 24
Case 301: 1
Case 302: 25
Case 303: 300
Case 304: 2300
Case 305: 12650
Case 306: 53130
Case 307: 177100
Case 308: 480700
Case 309: 1081575
Case 310: 2042975
Case 311: 3268760
Case 312: 4457400
Case 313: 5200300
Case 314: 5200300
Case 315: 4457400
Case 316: 3268760
Case 317: 2042975
Case 318: 1081575
Case 319: 480700
Case 320: 177100
Case 321: 53130
Case 322: 12650
Case 323: 2300
Case 324: 300
Case 325: 25
Case 326: 1
Case 327: 26
Case 328: 325
Case 329: 2600
Case 330: 14950
Case 331: 65780
Case 332: 230230
Case 333: 657800
Case 334: 1562275
Case 335: 3124550
Case 336: 5311735
Case 337: 7726160
Case 338: 9657700
Case 339: 10400600
Case 340: 9657700
Case 341: 7726160
Case 342: 5311735
Case 343: 3124550
Case 344: 1562275
Case 345: 657800
Case 346: 230230
Case 347: 65780
Case 348: 14950
Case 349: 2600
Case 350: 325
Case 351: 26
Case 352: 1
Case 353: 27
Case 354: 351
Case 355: 2925
Case 356: 17550
Case 357: 80730
Case 358: 296010
Case 359: 888030
Case 360: 2220075
Case 361: 4686825
Case 362: 8436285
Case 363: 13037895
Case 364: 17383860
Case 365: 20058300
Case 366: 20058300
Case 367: 17383860
Case 368: 13037895
Case 369: 8436285
Case 370: 4686825
Case 371: 2220075
Case 372: 888030
Case 373: 296010
Case 374: 80730
Case 375: 17550
Case 376: 2925
Case 377: 351
Case 378: 27
Case 379: 1
Case 380: 28
Case 381: 378
Case 382: 3276
Case 383: 20475
Case 384: 98280
Case 385: 376740
Case 386: 1184040
Case 387: 3108105
Case 388: 6906900
Case 389: 13123110
Case 390: 21474180
Case 391: 30421755
Case 392: 37442160
Case 393: 40116600
Case 394: 37442160
Case 395: 30421755
Case 396: 21474180
Case 397: 13123110
Case 398: 6906900
Case 399: 3108105
Case 400: 1184040
Case 401: 376740
Case 402: 98280
Case 403: 20475
Case 404: 3276
Case 405: 378
Case 406: 28
Case 407: 1
Case 408: 29
Case 409: 406
Case 410: 3654
Case 411: 23751
Case 412: 118755
Case 413: 475020
Case 414: 1560780
Case 415: 4292145
Case 416: 10015005
Case 417: 20030010
Case 418: 34597290
Case 419: 51895935
Case 420: 67863915
Case 421: 77558760
Case 422: 77558760
Case 423: 67863915
Case 424: 51895935
Case 425: 34597290
Case 426: 20030010
Case 427: 10015005
Case 428: 4292145
Case 429: 1560780
Case 430: 475020
Case 431: 118755
Case 432: 23751
Case 433: 3654
Case 434: 406
Case 435: 29
Case 436: 1
Case 437: 30
Case 438: 435
Case 439: 4060
Case 440: 27405
Case 441: 142506
Case 442: 593775
Case 443: 2035800
Case 444: 5852925
Case 445: 14307150
Case 446: 30045015
Case 447: 54627300
Case 448: 86493225
Case 449: 119759850
Case 450: 145422675
Case 451: 155117520
Case 452: 145422675
Case 453: 119759850
Case 454: 86493225
Case 455: 54627300
Case 456: 30045015
Case 457: 14307150
Case 458: 5852925
Case 459: 2035800
Case 460: 593775
Case 461: 142506
Case 462: 27405
Case 463: 4060
Case 464: 435
Case 465: 30