This function removes the duplicated states and keep the last line. this function works both with (0,1) or categorical states on the state_col!
Examples
N_states = 3
lambdas = lambda_determination(N_states)
transition_df = transfer_probabilities(N_states)
df = generate_X_df_multistates(nind = 100, N_states, start=0, end=100,
lambdas, transition_df)
remove_duplicate_states(df)
#> id time state
#> 1 1 0.00000000 3
#> 2 1 0.14929913 2
#> 3 1 0.89984636 1
#> 4 1 2.56240955 3
#> 5 1 15.45217403 1
#> 6 1 22.94124797 2
#> 7 1 25.75466340 1
#> 8 1 27.74997775 3
#> 9 1 31.76780350 2
#> 10 1 35.26087443 1
#> 11 1 56.64169491 3
#> 12 1 59.08571076 2
#> 13 1 66.13277758 1
#> 14 1 74.22103514 3
#> 15 1 80.59464805 2
#> 16 1 92.31106389 1
#> 17 1 100.00000000 1
#> 18 2 0.00000000 2
#> 19 2 15.81671693 1
#> 20 2 17.19002626 3
#> 21 2 23.00091333 2
#> 22 2 27.59218668 1
#> 23 2 30.87326120 3
#> 24 2 33.65658777 2
#> 25 2 37.36992641 1
#> 26 2 39.59405864 3
#> 27 2 43.59266885 2
#> 28 2 51.62082113 1
#> 29 2 60.48732829 3
#> 30 2 66.69129218 2
#> 31 2 79.72729927 1
#> 32 2 81.34741077 3
#> 33 2 82.82972926 2
#> 34 2 96.60342588 1
#> 35 2 100.00000000 1
#> 36 3 0.00000000 2
#> 37 3 2.44215930 1
#> 38 3 3.59278360 3
#> 39 3 10.98296086 1
#> 40 3 15.73457270 3
#> 41 3 16.20090384 2
#> 42 3 18.24661443 1
#> 43 3 23.39169819 3
#> 44 3 31.15705817 2
#> 45 3 49.66096104 1
#> 46 3 51.67159997 3
#> 47 3 53.87717278 2
#> 48 3 56.20955876 1
#> 49 3 59.23896570 2
#> 50 3 65.87257480 1
#> 51 3 75.69836165 3
#> 52 3 82.50415622 2
#> 53 3 85.89150701 1
#> 54 3 89.96635567 3
#> 55 3 97.23522121 2
#> 56 3 100.00000000 2
#> 57 4 0.00000000 2
#> 58 4 11.45814942 1
#> 59 4 21.28304598 2
#> 60 4 24.88100227 1
#> 61 4 26.12985734 3
#> 62 4 26.41198617 2
#> 63 4 27.60489556 1
#> 64 4 32.59395000 3
#> 65 4 36.15519936 2
#> 66 4 42.55278917 1
#> 67 4 43.55827116 2
#> 68 4 45.30923105 3
#> 69 4 49.91974502 2
#> 70 4 50.98303177 1
#> 71 4 52.87185804 3
#> 72 4 53.81648446 2
#> 73 4 66.68433727 1
#> 74 4 70.41449866 3
#> 75 4 72.06341694 2
#> 76 4 74.99429450 1
#> 77 4 82.02557028 3
#> 78 4 82.95148060 2
#> 79 4 85.67109298 1
#> 80 4 92.41191927 3
#> 81 4 92.98167937 2
#> 82 4 95.14831507 1
#> 83 4 100.00000000 1
#> 84 5 0.00000000 1
#> 85 5 0.49551039 3
#> 86 5 8.81631045 2
#> 87 5 15.67918758 1
#> 88 5 22.49873675 2
#> 89 5 23.62037431 1
#> 90 5 27.65860706 3
#> 91 5 30.35634990 2
#> 92 5 39.91963304 1
#> 93 5 43.15420826 3
#> 94 5 44.84671696 2
#> 95 5 52.74431979 1
#> 96 5 52.77408720 2
#> 97 5 92.64735172 1
#> 98 5 100.00000000 1
#> 99 6 0.00000000 3
#> 100 6 10.73073791 2
#> 101 6 14.50416716 1
#> 102 6 21.27387064 3
#> 103 6 34.59557559 2
#> 104 6 56.33034051 1
#> 105 6 68.12868378 2
#> 106 6 71.83869896 1
#> 107 6 72.20192617 3
#> 108 6 92.84414281 2
#> 109 6 96.19144467 1
#> 110 6 99.88898652 3
#> 111 6 100.00000000 3
#> 112 7 0.00000000 2
#> 113 7 11.90470185 1
#> 114 7 16.54343758 3
#> 115 7 18.47240424 2
#> 116 7 39.27991022 3
#> 117 7 52.93725359 2
#> 118 7 54.38507086 1
#> 119 7 57.92000504 3
#> 120 7 63.29945470 1
#> 121 7 70.45329734 3
#> 122 7 70.69943607 2
#> 123 7 77.62895814 1
#> 124 7 78.93368225 3
#> 125 7 79.46810122 1
#> 126 7 81.25402701 3
#> 127 7 85.91837027 2
#> 128 7 97.13119924 1
#> 129 7 98.26120063 3
#> 130 7 100.00000000 3
#> 131 8 0.00000000 2
#> 132 8 7.76581154 1
#> 133 8 13.39075947 3
#> 134 8 23.11778763 2
#> 135 8 25.00267310 1
#> 136 8 25.40136984 2
#> 137 8 39.03529254 1
#> 138 8 52.78564486 3
#> 139 8 53.75669523 2
#> 140 8 64.38227833 1
#> 141 8 64.88496124 3
#> 142 8 70.91294534 2
#> 143 8 73.92625121 1
#> 144 8 79.48385956 3
#> 145 8 84.02724537 2
#> 146 8 95.53780302 1
#> 147 8 96.71770317 3
#> 148 8 97.16648402 2
#> 149 8 98.57117571 1
#> 150 8 99.68205288 3
#> 151 8 100.00000000 3
#> 152 9 0.00000000 3
#> 153 9 0.35452592 2
#> 154 9 12.57997505 1
#> 155 9 13.46750495 3
#> 156 9 21.55464197 2
#> 157 9 24.59818621 1
#> 158 9 32.86777911 3
#> 159 9 34.50682612 2
#> 160 9 42.47672315 1
#> 161 9 58.01415386 3
#> 162 9 60.35468971 2
#> 163 9 76.36240101 1
#> 164 9 80.46955561 3
#> 165 9 82.27763349 2
#> 166 9 86.80700736 1
#> 167 9 90.21470208 3
#> 168 9 92.63439425 2
#> 169 9 97.69400003 1
#> 170 9 99.86194064 3
#> 171 9 100.00000000 3
#> 172 10 0.00000000 3
#> 173 10 1.68530029 2
#> 174 10 6.56492815 3
#> 175 10 17.00097386 2
#> 176 10 19.94253332 1
#> 177 10 20.12421118 3
#> 178 10 25.36085730 2
#> 179 10 31.50085073 1
#> 180 10 37.61171733 3
#> 181 10 37.95264444 2
#> 182 10 39.67879232 1
#> 183 10 41.12984296 3
#> 184 10 44.61239141 2
#> 185 10 51.16220216 1
#> 186 10 56.14415883 3
#> 187 10 56.32197982 2
#> 188 10 56.45107478 1
#> 189 10 58.09054368 3
#> 190 10 72.44754576 2
#> 191 10 80.38585667 1
#> 192 10 80.76195264 3
#> 193 10 83.60774509 2
#> 194 10 88.45391018 1
#> 195 10 91.13229965 2
#> 196 10 100.00000000 2
#> 197 11 0.00000000 3
#> 198 11 9.57808928 2
#> 199 11 12.25698714 1
#> 200 11 12.57330658 3
#> 201 11 29.12149028 2
#> 202 11 30.13840570 1
#> 203 11 31.76555161 3
#> 204 11 34.71873321 2
#> 205 11 37.51698170 1
#> 206 11 43.78472807 3
#> 207 11 60.99971047 2
#> 208 11 70.16776407 1
#> 209 11 70.72278351 3
#> 210 11 70.92198085 1
#> 211 11 82.24828193 3
#> 212 11 87.18023252 2
#> 213 11 100.00000000 2
#> 214 12 0.00000000 1
#> 215 12 9.40819456 3
#> 216 12 16.76763451 2
#> 217 12 24.18875117 1
#> 218 12 25.56170617 3
#> 219 12 43.87499615 1
#> 220 12 44.76322985 3
#> 221 12 47.23709755 2
#> 222 12 51.15852945 1
#> 223 12 67.66656115 3
#> 224 12 71.39297928 2
#> 225 12 79.73059605 1
#> 226 12 82.47274409 3
#> 227 12 86.09106371 2
#> 228 12 89.89430737 1
#> 229 12 90.88729829 3
#> 230 12 91.18330454 2
#> 231 12 94.76766406 1
#> 232 12 99.50422230 3
#> 233 12 100.00000000 3
#> 234 13 0.00000000 2
#> 235 13 0.28513914 1
#> 236 13 3.94178454 3
#> 237 13 14.54450468 2
#> 238 13 15.33934204 1
#> 239 13 35.18293191 3
#> 240 13 46.81338849 2
#> 241 13 56.84466277 1
#> 242 13 60.09007704 3
#> 243 13 64.83597509 2
#> 244 13 69.66921453 1
#> 245 13 71.58483506 3
#> 246 13 74.99243535 2
#> 247 13 75.56971398 1
#> 248 13 79.95059642 3
#> 249 13 88.01900966 2
#> 250 13 94.87543809 1
#> 251 13 100.00000000 1
#> 252 14 0.00000000 2
#> 253 14 8.74744538 1
#> 254 14 14.32500109 3
#> 255 14 16.49385799 2
#> 256 14 25.47513149 1
#> 257 14 55.21009432 3
#> 258 14 57.27042953 2
#> 259 14 60.34457123 1
#> 260 14 61.53799585 3
#> 261 14 80.11181030 2
#> 262 14 83.38560754 1
#> 263 14 88.44587032 3
#> 264 14 88.44977556 2
#> 265 14 100.00000000 2
#> 266 15 0.00000000 2
#> 267 15 15.92268031 1
#> 268 15 16.83735705 3
#> 269 15 27.35972386 2
#> 270 15 32.60259946 1
#> 271 15 32.74843030 3
#> 272 15 33.46175655 2
#> 273 15 34.47376110 1
#> 274 15 42.68513883 3
#> 275 15 44.41569997 2
#> 276 15 47.83384629 1
#> 277 15 55.29838029 3
#> 278 15 60.11784117 2
#> 279 15 62.09314460 1
#> 280 15 65.94682387 3
#> 281 15 87.12221591 2
#> 282 15 100.00000000 2
#> 283 16 0.00000000 1
#> 284 16 4.04776521 3
#> 285 16 9.43306374 2
#> 286 16 15.10361952 1
#> 287 16 19.04185046 2
#> 288 16 26.51556946 1
#> 289 16 28.58015650 3
#> 290 16 29.03635885 2
#> 291 16 39.21406429 1
#> 292 16 39.86671032 3
#> 293 16 44.30270450 2
#> 294 16 44.68633316 1
#> 295 16 50.24908291 3
#> 296 16 73.43260442 2
#> 297 16 81.86054445 1
#> 298 16 84.01727568 3
#> 299 16 88.03874029 2
#> 300 16 91.13743751 1
#> 301 16 91.66927445 3
#> 302 16 91.69935925 2
#> 303 16 98.98142204 1
#> 304 16 100.00000000 1
#> 305 17 0.00000000 1
#> 306 17 3.82276621 3
#> 307 17 4.93788589 2
#> 308 17 16.93742081 1
#> 309 17 17.01872022 3
#> 310 17 24.16498711 2
#> 311 17 27.98791517 1
#> 312 17 28.03574200 3
#> 313 17 28.38737126 1
#> 314 17 30.24304101 3
#> 315 17 32.56301479 1
#> 316 17 39.84485714 3
#> 317 17 43.30036596 2
#> 318 17 44.25840372 1
#> 319 17 46.05313396 3
#> 320 17 48.99836138 2
#> 321 17 76.35949398 1
#> 322 17 94.35272955 3
#> 323 17 96.13094921 2
#> 324 17 98.58715237 1
#> 325 17 100.00000000 1
#> 326 18 0.00000000 3
#> 327 18 1.02853429 1
#> 328 18 1.99353884 3
#> 329 18 7.80380245 2
#> 330 18 12.30381968 1
#> 331 18 18.37846280 2
#> 332 18 21.26692815 1
#> 333 18 27.00871414 3
#> 334 18 34.02628097 2
#> 335 18 35.05844537 1
#> 336 18 35.64042113 2
#> 337 18 35.76022057 1
#> 338 18 42.37300968 3
#> 339 18 54.50637328 2
#> 340 18 64.09934602 1
#> 341 18 71.26423869 3
#> 342 18 71.83425669 2
#> 343 18 72.05660701 3
#> 344 18 73.43178224 2
#> 345 18 83.15694329 1
#> 346 18 83.24327144 3
#> 347 18 84.40884180 2
#> 348 18 87.18163504 1
#> 349 18 89.95439649 3
#> 350 18 92.62071905 2
#> 351 18 97.28793911 1
#> 352 18 100.00000000 1
#> 353 19 0.00000000 1
#> 354 19 6.27748216 3
#> 355 19 6.72927573 2
#> 356 19 20.71432894 1
#> 357 19 33.80918571 3
#> 358 19 34.49142990 2
#> 359 19 35.44671029 1
#> 360 19 36.95054659 3
#> 361 19 38.93235191 2
#> 362 19 44.67901708 1
#> 363 19 53.50313214 2
#> 364 19 55.91992637 1
#> 365 19 67.18697410 3
#> 366 19 71.07095150 2
#> 367 19 98.02236674 1
#> 368 19 98.65373751 3
#> 369 19 100.00000000 3
#> 370 20 0.00000000 2
#> 371 20 7.05821773 1
#> 372 20 11.71144292 3
#> 373 20 12.12025696 2
#> 374 20 22.54342281 1
#> 375 20 23.05129421 3
#> 376 20 23.61436513 2
#> 377 20 32.31075203 1
#> 378 20 32.53576865 3
#> 379 20 43.37818834 2
#> 380 20 78.66735777 1
#> 381 20 81.26702263 3
#> 382 20 81.79007276 2
#> 383 20 84.11311212 1
#> 384 20 88.59038369 3
#> 385 20 90.74196150 2
#> 386 20 97.44261811 1
#> 387 20 100.00000000 1
#> 388 21 0.00000000 1
#> 389 21 0.65568886 3
#> 390 21 3.27903404 2
#> 391 21 5.16036673 1
#> 392 21 24.80095290 3
#> 393 21 33.13076795 2
#> 394 21 42.96125906 1
#> 395 21 47.09195177 3
#> 396 21 65.05158650 2
#> 397 21 82.15017020 1
#> 398 21 89.67192569 3
#> 399 21 92.10307177 1
#> 400 21 93.42108084 3
#> 401 21 100.00000000 3
#> 402 22 0.00000000 1
#> 403 22 1.94154910 2
#> 404 22 2.30712059 1
#> 405 22 7.07153923 3
#> 406 22 13.59807230 1
#> 407 22 17.57204499 3
#> 408 22 27.04596089 2
#> 409 22 30.23597538 1
#> 410 22 38.13757241 3
#> 411 22 38.52353296 2
#> 412 22 39.11095706 1
#> 413 22 41.25886884 3
#> 414 22 43.35158850 2
#> 415 22 52.24431630 1
#> 416 22 52.57958657 3
#> 417 22 55.71702465 2
#> 418 22 72.07155412 3
#> 419 22 79.95534140 2
#> 420 22 87.29593380 1
#> 421 22 89.49313897 2
#> 422 22 89.91288783 1
#> 423 22 100.00000000 1
#> 424 23 0.00000000 2
#> 425 23 5.65749931 1
#> 426 23 7.67853760 3
#> 427 23 15.15638430 1
#> 428 23 22.22089560 3
#> 429 23 23.62565735 1
#> 430 23 32.97021936 3
#> 431 23 45.18494859 2
#> 432 23 87.60671200 1
#> 433 23 89.50111609 2
#> 434 23 93.87434012 1
#> 435 23 100.00000000 1
#> 436 24 0.00000000 3
#> 437 24 0.52082333 2
#> 438 24 4.40476415 1
#> 439 24 14.70978085 2
#> 440 24 31.82958454 1
#> 441 24 33.62328464 3
#> 442 24 33.83548898 2
#> 443 24 43.75330770 3
#> 444 24 47.13782866 2
#> 445 24 64.23238446 1
#> 446 24 70.69721378 3
#> 447 24 80.00996276 1
#> 448 24 85.70217081 3
#> 449 24 98.43740415 2
#> 450 24 100.00000000 2
#> 451 25 0.00000000 1
#> 452 25 7.49295313 3
#> 453 25 18.53448741 2
#> 454 25 20.35712723 1
#> 455 25 23.54593748 3
#> 456 25 24.21460758 2
#> 457 25 38.16494716 1
#> 458 25 41.62195338 3
#> 459 25 42.26237789 2
#> 460 25 53.47293397 1
#> 461 25 66.17344585 3
#> 462 25 66.98857935 2
#> 463 25 78.35354607 1
#> 464 25 89.61488776 3
#> 465 25 89.90293863 2
#> 466 25 93.18949777 1
#> 467 25 93.88983433 2
#> 468 25 94.68602821 1
#> 469 25 95.98897049 3
#> 470 25 100.00000000 3
#> 471 26 0.00000000 3
#> 472 26 3.76703663 2
#> 473 26 4.48613457 1
#> 474 26 4.64449964 3
#> 475 26 4.89293534 2
#> 476 26 6.42692728 1
#> 477 26 8.89725996 3
#> 478 26 9.55019182 2
#> 479 26 17.35191916 1
#> 480 26 29.27811738 3
#> 481 26 31.02379326 2
#> 482 26 45.73691974 1
#> 483 26 49.40033369 3
#> 484 26 51.33767645 2
#> 485 26 55.40989010 1
#> 486 26 55.91828047 3
#> 487 26 58.81287829 2
#> 488 26 60.61885557 1
#> 489 26 64.33121048 3
#> 490 26 68.93895196 2
#> 491 26 70.65125869 1
#> 492 26 79.90644570 3
#> 493 26 82.24953684 2
#> 494 26 82.75674592 1
#> 495 26 87.33751553 3
#> 496 26 88.29146133 2
#> 497 26 89.71349319 1
#> 498 26 100.00000000 1
#> 499 27 0.00000000 1
#> 500 27 10.36788721 3
#> 501 27 17.44249758 2
#> 502 27 23.68059577 1
#> 503 27 24.58605957 3
#> 504 27 33.18528713 2
#> 505 27 46.73781466 1
#> 506 27 47.93949285 3
#> 507 27 50.99877904 2
#> 508 27 51.09401802 1
#> 509 27 56.97790998 2
#> 510 27 73.70260517 1
#> 511 27 83.71346174 3
#> 512 27 83.91284204 1
#> 513 27 85.79851519 3
#> 514 27 91.48345293 2
#> 515 27 95.88811948 1
#> 516 27 99.75085594 3
#> 517 27 100.00000000 3
#> 518 28 0.00000000 1
#> 519 28 13.00621339 2
#> 520 28 16.25149012 3
#> 521 28 17.32797998 2
#> 522 28 30.82440090 1
#> 523 28 31.77175369 3
#> 524 28 34.35132124 2
#> 525 28 36.45373561 3
#> 526 28 40.05654638 1
#> 527 28 41.65333309 3
#> 528 28 44.47098819 2
#> 529 28 53.52432006 1
#> 530 28 55.06415386 2
#> 531 28 57.34976065 1
#> 532 28 65.69120369 3
#> 533 28 80.42155040 2
#> 534 28 83.91648932 1
#> 535 28 94.96898911 3
#> 536 28 94.97534075 2
#> 537 28 96.41707613 1
#> 538 28 98.67713830 3
#> 539 28 99.38748540 2
#> 540 28 100.00000000 2
#> 541 29 0.00000000 3
#> 542 29 9.00993053 2
#> 543 29 9.70595000 1
#> 544 29 13.61385233 3
#> 545 29 19.65096593 2
#> 546 29 22.93856711 1
#> 547 29 23.34970782 3
#> 548 29 23.50804563 2
#> 549 29 28.33416532 1
#> 550 29 52.85070900 2
#> 551 29 56.72769138 1
#> 552 29 60.02937303 2
#> 553 29 74.56585795 1
#> 554 29 81.67340633 3
#> 555 29 90.05207854 2
#> 556 29 97.26460574 1
#> 557 29 98.08159001 3
#> 558 29 100.00000000 3
#> 559 30 0.00000000 2
#> 560 30 2.99619484 1
#> 561 30 5.44276636 3
#> 562 30 7.62939278 2
#> 563 30 31.14182395 1
#> 564 30 32.66392657 3
#> 565 30 35.81698928 2
#> 566 30 37.89554380 1
#> 567 30 44.18234043 3
#> 568 30 44.33854960 2
#> 569 30 51.76315381 1
#> 570 30 53.62906841 3
#> 571 30 70.00687115 2
#> 572 30 71.61373610 3
#> 573 30 71.90372035 2
#> 574 30 78.96008187 1
#> 575 30 83.36007801 3
#> 576 30 84.38390154 2
#> 577 30 84.39957089 1
#> 578 30 95.74549841 2
#> 579 30 100.00000000 2
#> 580 31 0.00000000 3
#> 581 31 2.32708245 2
#> 582 31 8.68216151 1
#> 583 31 21.47544082 3
#> 584 31 34.48153929 2
#> 585 31 36.34207352 1
#> 586 31 42.99125441 3
#> 587 31 48.13386780 2
#> 588 31 51.13212696 1
#> 589 31 63.25091352 3
#> 590 31 71.82280180 2
#> 591 31 78.16055025 1
#> 592 31 89.33088117 2
#> 593 31 99.62102228 1
#> 594 31 100.00000000 1
#> 595 32 0.00000000 3
#> 596 32 1.02926799 2
#> 597 32 6.11722928 1
#> 598 32 22.50705555 3
#> 599 32 23.27980121 2
#> 600 32 24.87123492 1
#> 601 32 27.98571637 3
#> 602 32 34.53528716 2
#> 603 32 35.43745313 1
#> 604 32 46.84141236 3
#> 605 32 49.40444970 1
#> 606 32 55.95145130 2
#> 607 32 65.22474393 1
#> 608 32 69.46276298 3
#> 609 32 74.75045500 2
#> 610 32 95.14725111 1
#> 611 32 100.00000000 1
#> 612 33 0.00000000 1
#> 613 33 3.01667486 3
#> 614 33 4.29648879 2
#> 615 33 5.92713788 1
#> 616 33 22.07269013 3
#> 617 33 31.70935864 2
#> 618 33 32.03643680 1
#> 619 33 33.28047984 3
#> 620 33 41.60143023 2
#> 621 33 48.79894442 1
#> 622 33 49.06996686 3
#> 623 33 51.35915935 1
#> 624 33 55.33202052 3
#> 625 33 58.57455683 1
#> 626 33 60.19022086 3
#> 627 33 69.11841211 2
#> 628 33 86.92492373 1
#> 629 33 89.55147560 3
#> 630 33 90.44817231 1
#> 631 33 91.66941508 3
#> 632 33 100.00000000 3
#> 633 34 0.00000000 1
#> 634 34 0.61712604 3
#> 635 34 0.97697113 2
#> 636 34 1.80348556 1
#> 637 34 14.48552733 3
#> 638 34 23.62092140 2
#> 639 34 29.67520264 1
#> 640 34 44.37476236 2
#> 641 34 45.88695899 1
#> 642 34 46.35385626 2
#> 643 34 47.18708251 1
#> 644 34 54.97751832 3
#> 645 34 57.97390700 2
#> 646 34 59.83846479 1
#> 647 34 62.88022412 3
#> 648 34 64.19453508 2
#> 649 34 64.28639061 1
#> 650 34 69.51808323 3
#> 651 34 71.46456317 1
#> 652 34 73.33007945 3
#> 653 34 80.81518962 2
#> 654 34 86.53642073 1
#> 655 34 94.80614729 3
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#> 1900 99 57.73074458 3
#> 1901 99 60.73994885 2
#> 1902 99 66.15221569 1
#> 1903 99 67.31707818 3
#> 1904 99 71.77962945 2
#> 1905 99 77.09574195 1
#> 1906 99 78.82563422 3
#> 1907 99 82.25467582 2
#> 1908 99 89.47414704 1
#> 1909 99 92.14746924 3
#> 1910 99 98.36626577 2
#> 1911 99 100.00000000 2
#> 1912 100 0.00000000 3
#> 1913 100 2.46113902 2
#> 1914 100 13.94350067 1
#> 1915 100 16.66272777 3
#> 1916 100 19.18781256 1
#> 1917 100 24.42145508 3
#> 1918 100 31.91585227 2
#> 1919 100 41.07602762 1
#> 1920 100 43.53057132 2
#> 1921 100 50.37148584 1
#> 1922 100 51.37890389 3
#> 1923 100 56.74921818 2
#> 1924 100 56.78353505 1
#> 1925 100 59.88689375 3
#> 1926 100 60.74314527 2
#> 1927 100 65.22704538 1
#> 1928 100 69.36726008 3
#> 1929 100 70.35926652 1
#> 1930 100 79.96324589 3
#> 1931 100 85.54324191 2
#> 1932 100 86.61033437 1
#> 1933 100 99.88941208 2
#> 1934 100 100.00000000 2