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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#224916 | #7607. The Doubling Game 2 | ucup-team004# | TL | 859ms | 158848kb | C++20 | 3.4kb | 2023-10-23 17:42:58 | 2023-10-23 17:42:59 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
using u64 = unsigned long long;
constexpr int P = 1000000007;
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n;
std::cin >> n;
std::vector<std::vector<int>> adj(n);
for (int i = 1; i < n; i++) {
int a, b;
std::cin >> a >> b;
a--, b--;
// a = i, b = a & (a - 1);
adj[a].push_back(b);
adj[b].push_back(a);
}
std::vector<int> dp(n), mx(n);
std::vector<std::array<int, 20>> f(n), g(n);
auto dfs = [&](auto self, int x, int p) -> void {
std::vector<int> a;
for (auto y : adj[x]) {
if (y == p) {
continue;
}
self(self, y, x);
a.push_back(mx[y]);
}
std::sort(a.begin(), a.end(), std::greater());
int M = a.size();
for (int i = 0; i < a.size(); i++) {
M = std::min(M, a[i] + i + 1);
}
mx[x] = M;
for (int v = 0; v <= M + 1; v++) {
int L = std::min(v, M) + 1;
std::vector<u64> h(1 << L), h1(1 << L);
h[0] = 1;
for (auto y : adj[x]) {
if (y == p) {
continue;
}
for (int s = 0; s < (1 << L); s++) {
h1[s] = 1ULL * h[s] * dp[y];
}
for (int s = 0; s < (1 << L); s++) {
if (v <= M && (~s >> v & 1) && v <= mx[y]) {
int t = s | (1 << v);
h1[t] += 1ULL * h[s] * g[y][v];
}
}
for (int i = 0; i < v && i <= mx[y]; i++) {
for (int hi = 0; hi < (1 << L); hi += (2 << i)) {
for (int lo = 0; lo < (1 << i); lo++) {
int s = hi + lo;
int t = s | 1 << i;
h1[t] += 1ULL * h[s] * f[y][i];
}
}
}
// for (int s = (1 << L) - 1; s >= 0; s--) {
// int val = h[s];
// h[s] = 1ULL * val * dp[y];
// for (int i = 0; i < v && i <= mx[y]; i++) {
// if (~s >> i & 1) {
// int t = s | 1 << i;
// h[t] += 1ULL * val * f[y][i];
// }
// }
// if (v <= M && (~s >> v & 1) && v <= mx[y]) {
// int t = s | (1 << v);
// h[t] += 1ULL * val * g[y][v];
// }
// }
for (int s = (1 << L) - 1; s >= 0; s--) {
h[s] = h1[s] % P;
}
}
if (v <= M) {
f[x][v] = h[(1 << v) - 1];
dp[x] = (dp[x] + f[x][v]) % P;
dp[x] = (dp[x] + h[(2 << v) - 1]) % P;
}
for (int i = 0; i < v; i++) {
g[x][i] = (g[x][i] + h[(1 << v) - 1 - (1 << i)]) % P;
if (v <= M) {
g[x][i] = (g[x][i] + h[(2 << v) - 1 - (1 << i)]) % P;
}
}
}
};
dfs(dfs, 0, -1);
std::cout << dp[0] << "\n";
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3648kb
input:
5 1 2 1 3 1 4 4 5
output:
21
result:
ok single line: '21'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
1
output:
1
result:
ok single line: '1'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
128 11 32 116 81 65 4 117 47 5 81 104 30 61 8 82 59 95 20 92 29 29 127 97 39 123 33 59 128 115 33 83 67 74 16 77 33 64 73 124 123 8 127 61 51 101 122 35 90 119 116 112 27 81 93 109 123 54 1 119 100 116 16 65 47 67 27 22 105 76 87 36 39 27 96 72 31 91 123 21 105 118 12 110 48 121 72 14 115 24 16 106 ...
output:
508800953
result:
ok single line: '508800953'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3900kb
input:
256 53 177 57 242 74 90 107 104 209 169 132 70 152 142 71 168 143 99 91 130 202 140 49 165 209 193 209 137 159 188 247 48 49 21 20 208 155 185 120 231 83 87 37 84 143 18 106 8 114 79 191 158 208 256 133 252 215 92 199 108 166 168 39 217 85 69 204 139 100 75 111 6 230 198 79 130 26 155 155 38 55 81 1...
output:
999869740
result:
ok single line: '999869740'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3704kb
input:
512 507 193 168 152 48 369 273 170 101 349 160 261 438 197 446 224 125 264 210 131 272 218 361 85 226 119 57 33 229 89 37 317 130 417 30 470 435 300 499 417 132 260 196 430 119 117 157 260 207 151 368 277 188 371 214 330 484 228 96 94 97 442 251 461 443 248 163 207 306 147 346 90 457 112 436 222 364...
output:
37387055
result:
ok single line: '37387055'
Test #6:
score: 0
Accepted
time: 1ms
memory: 4080kb
input:
1024 340 598 1 851 245 819 414 736 996 316 300 284 924 407 532 557 362 178 1006 469 397 373 742 77 112 37 406 892 703 666 496 825 1002 100 875 856 263 975 227 6 288 389 661 437 160 626 833 770 912 837 405 628 466 686 45 629 59 13 163 991 1017 422 208 247 344 376 709 956 570 272 996 954 518 454 267 3...
output:
689180079
result:
ok single line: '689180079'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3720kb
input:
2048 2046 1942 589 1449 1593 1983 936 414 387 184 1962 1237 1986 635 573 1619 1598 1109 458 836 1123 1563 1502 519 1467 347 1815 864 980 405 709 433 1682 211 1967 1915 1089 1902 564 211 128 1004 1568 315 293 494 1552 1772 1641 1157 431 1899 1334 1623 161 1870 885 1330 1863 502 1761 1643 692 1759 118...
output:
275839338
result:
ok single line: '275839338'
Test #8:
score: 0
Accepted
time: 3ms
memory: 4276kb
input:
4096 2546 3568 3084 3426 1262 2128 1773 1455 425 3750 3444 3265 3099 464 3479 3651 639 1727 2486 2768 1165 1905 1847 2626 1335 3938 2550 1594 1520 1758 3771 2227 3486 60 381 383 1268 2829 1884 3468 3195 2892 983 31 584 2599 2811 1876 1875 3310 3184 2941 2893 202 1305 1926 1019 1639 3529 1998 2129 12...
output:
99235843
result:
ok single line: '99235843'
Test #9:
score: 0
Accepted
time: 5ms
memory: 5076kb
input:
8192 5663 2164 3712 1600 336 2388 1971 4169 1579 7319 496 8080 5305 982 5508 5777 5324 6680 4636 6745 7295 6086 6948 388 5239 811 1875 7271 5755 2864 2933 795 6448 6716 3016 302 2474 2937 6355 5936 4973 4064 2920 2318 6254 4090 665 2500 961 8180 5416 6371 4958 5430 7905 5013 4373 3068 6557 3867 3056...
output:
79832799
result:
ok single line: '79832799'
Test #10:
score: 0
Accepted
time: 10ms
memory: 6860kb
input:
16384 4535 8823 5344 1240 5793 15361 8423 14130 14595 11420 12195 1332 9712 4829 9533 14608 1328 14962 13846 1173 12823 5702 3518 9298 3235 13113 14312 3915 3439 9003 4667 5401 3819 2395 13827 981 3557 11804 7369 11344 15524 1435 4706 15539 12838 2109 4986 5367 2766 4313 6802 12338 12059 3998 6327 5...
output:
732760598
result:
ok single line: '732760598'
Test #11:
score: 0
Accepted
time: 19ms
memory: 10548kb
input:
32768 18706 23242 17650 5918 17278 24553 13070 18006 22702 10359 7113 13886 25578 16957 28955 27352 7353 6627 24042 21572 4744 30083 29267 16077 19328 1154 32271 23711 22390 3651 19272 7150 19081 13949 22123 4853 17958 18148 27675 28239 29486 26616 14292 23782 12790 18303 25184 9656 2671 13229 21875...
output:
383548244
result:
ok single line: '383548244'
Test #12:
score: 0
Accepted
time: 29ms
memory: 17720kb
input:
65536 58488 63309 5892 23044 42057 26219 45788 13164 16585 3001 4262 20408 60289 43446 44684 60172 60763 38228 56279 19103 45476 53988 42692 16285 17169 4001 23321 935 41892 8086 46236 15394 679 21542 26763 36111 47813 62044 22621 35997 6381 14778 17034 21699 54381 53287 35694 34830 14902 30504 5158...
output:
440039161
result:
ok single line: '440039161'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
2 2 1
output:
3
result:
ok single line: '3'
Test #14:
score: 0
Accepted
time: 79ms
memory: 32176kb
input:
131072 51230 116074 14356 18985 97302 87862 20350 65669 81694 54472 94257 44656 77121 118912 81235 115171 106881 104061 82683 25663 68305 12450 29336 62646 32572 74421 102407 112028 122054 79222 70569 123539 8651 78501 204 34510 69520 18129 55082 68106 51505 114323 100795 60383 61023 59864 57018 337...
output:
776456918
result:
ok single line: '776456918'
Test #15:
score: 0
Accepted
time: 187ms
memory: 61012kb
input:
262144 131863 89153 74747 38646 187112 232634 203855 116743 1197 3109 104299 20430 195824 110378 144817 150658 187558 66008 261366 71448 227156 246386 4149 219771 47465 87425 185952 150310 20653 103389 4917 221350 124004 104544 162181 144076 79557 176106 88679 240655 234082 52601 205629 150797 20194...
output:
777533279
result:
ok single line: '777533279'
Test #16:
score: 0
Accepted
time: 225ms
memory: 158848kb
input:
300000 200042 33358 146127 282853 18162 208274 88763 197176 219535 47504 18973 156413 135038 231317 236314 79984 54777 75970 263068 185590 178314 16697 46633 171708 244101 108105 262612 237866 278911 257361 223742 114478 189208 195065 226678 182830 43889 137857 43488 17945 129846 57509 272492 132190...
output:
528233774
result:
ok single line: '528233774'
Test #17:
score: 0
Accepted
time: 228ms
memory: 121684kb
input:
300000 176764 78952 106987 49376 199197 145137 284233 133549 153566 146492 192389 171608 126109 165447 243592 22382 235466 121116 184443 97521 282334 9814 156 188663 107376 36037 157844 51710 62907 257468 246294 216846 219236 183284 216849 220858 269297 95886 219479 273154 165259 18296 162990 56046 ...
output:
750813860
result:
ok single line: '750813860'
Test #18:
score: 0
Accepted
time: 212ms
memory: 99692kb
input:
300000 158309 149704 128435 163070 84245 49253 264263 44739 68743 180951 108361 147453 240926 297856 89945 260111 277457 169826 291582 125079 277648 144954 101400 245176 23891 241280 63493 241546 201991 83439 148391 183664 21371 262320 204841 29292 277535 194623 82560 91044 150547 79025 123803 68605...
output:
580868875
result:
ok single line: '580868875'
Test #19:
score: 0
Accepted
time: 208ms
memory: 80956kb
input:
300000 199668 175926 193518 215061 170371 258103 194712 162222 88766 94800 184812 295037 168857 181854 69199 242470 1818 80752 69395 194806 57376 42758 141192 88538 33986 256933 69427 76218 185239 91491 285920 41676 51905 1936 239856 132282 227388 41622 272706 124375 32038 284692 135219 69014 34936 ...
output:
381083020
result:
ok single line: '381083020'
Test #20:
score: 0
Accepted
time: 859ms
memory: 73320kb
input:
300000 67567 276022 264241 227037 38178 145820 228201 233793 98899 138819 98797 261326 115390 242282 211578 259087 45319 276116 122811 28871 50088 69991 37258 200859 136470 175283 260338 91948 67384 212375 40231 149234 232658 26091 154421 76753 112123 10499 206637 278186 61238 227139 159931 11377 15...
output:
526946130
result:
ok single line: '526946130'
Test #21:
score: 0
Accepted
time: 222ms
memory: 99516kb
input:
300000 298283 154255 105673 91459 90712 551 123440 38867 273284 278037 289955 200645 67178 171102 262920 263155 13243 20544 3484 121690 144944 96882 36832 165786 136889 268839 113999 205529 215711 155237 265165 11117 297845 242471 256546 75078 105444 191232 129806 32926 47865 212371 242475 12162 140...
output:
454830106
result:
ok single line: '454830106'
Test #22:
score: 0
Accepted
time: 252ms
memory: 76820kb
input:
300000 255425 265169 133485 277287 76214 259004 64909 31394 38195 194625 113083 60995 114801 95891 252179 236591 174951 140502 120096 268047 112333 255250 40951 239609 183553 195051 267304 249424 251541 179061 141939 127130 185987 132693 168331 40484 168910 263246 133239 174144 98110 219653 71323 58...
output:
7085656
result:
ok single line: '7085656'
Test #23:
score: 0
Accepted
time: 288ms
memory: 71812kb
input:
300000 231673 112053 254937 146031 82044 136077 65848 14401 248803 96417 78006 18885 141370 451 117569 281482 106784 22636 276187 72289 42145 271720 31090 107912 4141 157651 83282 122287 145094 83114 43582 186660 256861 15404 236538 287383 243614 211230 151496 85034 38002 36984 2314 240792 193219 10...
output:
877977717
result:
ok single line: '877977717'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
3 1 3 1 2
output:
5
result:
ok single line: '5'
Test #25:
score: 0
Accepted
time: 344ms
memory: 69816kb
input:
299996 296442 185267 50530 274959 28270 115154 148934 249346 160551 84859 233979 154571 22843 135379 230333 236666 298334 183640 92347 194511 173381 25598 266261 136089 287505 185015 146778 296343 66934 86330 153692 167515 208193 268597 182346 21400 267740 194767 257287 155399 234463 206144 132725 4...
output:
958748728
result:
ok single line: '958748728'
Test #26:
score: 0
Accepted
time: 415ms
memory: 69316kb
input:
299997 69620 286151 83759 122458 150200 40713 27544 54012 96245 59812 180550 99731 217930 120974 163696 30804 275834 168480 207497 230467 132307 225351 20315 288360 29579 521 199710 78596 245633 262159 274256 35936 86684 131322 261721 211569 195864 72963 280835 83850 183385 296530 294024 176405 4753...
output:
384944882
result:
ok single line: '384944882'
Test #27:
score: 0
Accepted
time: 543ms
memory: 69376kb
input:
299996 148922 127667 277673 197441 29052 20205 142405 266143 108859 287840 211351 181923 203021 23645 77544 40249 166846 291754 250262 146814 142031 39641 38402 279245 170977 184733 154573 124357 14071 146937 212153 285641 1200 73289 56741 83581 142675 90910 34133 76301 63971 24486 180535 141586 268...
output:
971339277
result:
ok single line: '971339277'
Test #28:
score: 0
Accepted
time: 666ms
memory: 69612kb
input:
300000 25217 119027 159658 129611 152346 126715 76257 239862 233425 241260 187090 97105 81341 83145 30473 53950 155583 160833 167171 33346 34676 267326 225722 210758 237341 282776 212099 153785 193336 57133 276500 78517 85066 68912 97119 251080 56196 52211 226615 249598 251391 205606 246132 131565 3...
output:
871187616
result:
ok single line: '871187616'
Test #29:
score: 0
Accepted
time: 828ms
memory: 71196kb
input:
300000 102824 264542 97459 294443 207887 24517 86542 159734 258999 26536 50082 269866 238475 32007 93949 298385 228703 85982 137498 128652 255827 78235 283491 173194 73700 144605 220086 281986 132744 8302 144861 107759 79676 170516 170650 203290 127771 293088 132201 132047 79581 216013 181179 266867...
output:
99010450
result:
ok single line: '99010450'
Test #30:
score: 0
Accepted
time: 762ms
memory: 73344kb
input:
299996 242479 24995 122936 54434 10553 59084 232524 82036 297620 237283 237495 230131 251637 161635 241458 127410 230096 186466 125271 158610 63285 152286 118009 247683 83334 100530 74546 44699 62150 141585 239718 190019 107197 156126 61127 250943 226268 25100 85759 293768 217704 271966 38189 44651 ...
output:
7871987
result:
ok single line: '7871987'
Test #31:
score: 0
Accepted
time: 305ms
memory: 69744kb
input:
300000 141120 87300 194322 170645 229819 142275 41425 298988 299047 109602 88400 186578 26657 236944 254960 49349 81333 19904 154061 156416 159858 5611 23618 127658 267627 222399 129713 170839 32424 220570 79761 69615 23754 150751 159615 217322 217327 16059 128031 112745 216426 255856 7377 182023 17...
output:
800979809
result:
ok single line: '800979809'
Test #32:
score: 0
Accepted
time: 214ms
memory: 69612kb
input:
300000 187459 276511 13204 112858 283815 276191 216613 271575 141969 92717 192257 110307 201403 277104 230595 155995 97518 49107 196198 299078 44975 1963 263278 272852 13453 8890 287918 22659 178192 78528 164812 271085 83986 14827 32133 247475 125396 3364 154483 90786 176446 208266 109982 172113 241...
output:
808644428
result:
ok single line: '808644428'
Test #33:
score: 0
Accepted
time: 189ms
memory: 69432kb
input:
299996 188752 101719 279316 246986 234432 243419 272970 705 38885 125692 240413 78732 273782 184744 211520 114706 90561 155300 15819 98642 155001 197334 176234 106386 230375 27141 159458 105976 43931 251797 277213 32451 178296 156807 3676 281605 157162 90450 60940 129806 130286 169475 285884 289386 ...
output:
379195932
result:
ok single line: '379195932'
Test #34:
score: 0
Accepted
time: 455ms
memory: 123884kb
input:
300000 237729 123037 157430 246971 184400 158079 30617 11884 31953 246475 131242 106766 264888 224761 125361 26673 60635 106163 160321 262774 230455 159426 140331 83773 155773 191180 158116 83790 67422 218479 261855 78986 252389 128069 15587 19850 206767 152122 45054 44339 253201 270428 42310 112952...
output:
519652329
result:
ok single line: '519652329'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
4 1 4 2 3 3 4
output:
13
result:
ok single line: '13'
Test #36:
score: 0
Accepted
time: 509ms
memory: 106232kb
input:
300000 11262 192408 116072 24230 187003 272190 273685 210077 170965 38577 194980 295045 33802 190819 64796 200244 15854 4901 202070 198383 290577 17054 107551 141242 136681 75729 227834 27837 83600 69127 15544 192976 155253 272248 30643 269233 239057 254976 220514 163342 127578 161160 237442 44536 2...
output:
412009401
result:
ok single line: '412009401'
Test #37:
score: 0
Accepted
time: 462ms
memory: 82716kb
input:
299996 109754 77210 195890 236220 252772 122307 44379 284046 257265 245023 201955 113521 274770 82921 236926 282039 30764 7873 248940 138345 94397 171146 218010 228599 89329 5521 98515 247653 142110 275931 89149 206620 219431 221691 220173 140322 267768 192657 17204 134951 157598 243149 65102 174137...
output:
896924076
result:
ok single line: '896924076'
Test #38:
score: -100
Time Limit Exceeded
input:
299999 126262 52144 78038 52144 52144 71458 218142 43724 185628 234525 37447 36821 119760 217021 148818 187846 52144 227498 169948 52144 65195 219140 120149 264074 183247 135413 77629 109688 88071 52144 268556 52144 94175 52144 52144 155393 52144 48570 264251 211414 4769 52144 155619 13823 119908 52...