QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#309294 | #8133. When Anton Saw This Task He Reacted With 😩 | ucup-team1447# | AC ✓ | 1334ms | 38248kb | C++14 | 5.3kb | 2024-01-20 16:29:35 | 2024-01-20 16:29:35 |
Judging History
answer
// This Code was made by Chinese_zjc_.
#include <bits/stdc++.h>
const int MOD = 998244353;
struct mint
{
unsigned v;
mint(unsigned v = 0) : v(v) {}
mint operator-() const { return v ? MOD - v : v; }
mint &operator+=(const mint &X) { return (v += X.v) >= MOD ? v -= MOD : v, *this; }
mint &operator-=(const mint &X) { return (v += MOD - X.v) >= MOD ? v -= MOD : v, *this; }
mint &operator*=(const mint &X) { return v = 1llu * v * X.v % MOD, *this; }
mint &operator/=(const mint &X) { return *this *= X.inv(); }
mint pow(long long B) const
{
B %= MOD - 1;
if (B < 0)
B += MOD - 1;
mint res = 1, A = *this;
while (B)
{
if (B & 1)
res *= A;
B >>= 1;
A *= A;
}
return res;
}
mint inv() const { return pow(MOD - 2); }
friend mint operator+(const mint &A, const mint &B) { return mint(A) += B; }
friend mint operator-(const mint &A, const mint &B) { return mint(A) -= B; }
friend mint operator*(const mint &A, const mint &B) { return mint(A) *= B; }
friend mint operator/(const mint &A, const mint &B) { return mint(A) /= B; }
friend std::istream &operator>>(std::istream &A, mint &B) { return A >> B.v; }
friend std::ostream &operator<<(std::ostream &A, const mint &B) { return A << B.v; }
explicit operator bool() const { return v; }
friend bool operator==(const mint &A, const mint &B) { return A.v == B.v; }
} sgn = 1;
struct matrix
{
mint v[3][3];
friend matrix operator*(const matrix &A, const matrix &B)
{
matrix res;
for (int i = 0; i != 3; ++i)
for (int j = 0; j != 3; ++j)
for (int k = 0; k != 3; ++k)
res.v[i][k] += A.v[i][j] * B.v[j][k];
return res;
}
} I, t[1 << 19];
struct vector
{
mint x, y, z;
matrix f()
{
matrix res;
res.v[0][1] = z;
res.v[0][2] = -y;
res.v[1][2] = x;
res.v[1][0] = -z;
res.v[2][0] = y;
res.v[2][1] = -x;
return res;
}
vector operator*(const matrix &X) const
{
vector res;
res.x = x * X.v[0][0] + y * X.v[0][1] + z * X.v[0][2];
res.y = x * X.v[1][0] + y * X.v[1][1] + z * X.v[1][2];
res.z = x * X.v[2][0] + y * X.v[2][1] + z * X.v[2][2];
return res;
}
friend vector operator*(const mint &A, const vector &B)
{
vector res;
res.x = A * B.x;
res.y = A * B.y;
res.z = A * B.z;
return res;
}
friend std::istream &operator>>(std::istream &A, vector &B) { return A >> B.x >> B.y >> B.z; }
friend std::ostream &operator<<(std::ostream &A, const vector &B) { return A << B.x << ' ' << B.y << ' ' << B.z; }
} v[200005];
int n, q, son[200005][2], siz[200005], top[200005], bot[200005], dfn[200005], idfn[200005], fa[200005];
char c[200005];
void init(int now)
{
if (c[now] == 'x')
{
fa[son[now][0]] = fa[son[now][1]] = now;
init(son[now][0]);
init(son[now][1]);
siz[now] = siz[son[now][0]] + siz[son[now][1]];
if (siz[son[now][0]] < siz[son[now][1]])
std::swap(son[now][0], son[now][1]), sgn = -sgn;
}
else
siz[now] = 1;
}
void init2(int now)
{
static int tim;
idfn[dfn[now] = ++tim] = now;
if (!top[now])
top[now] = now;
if (c[now] == 'x')
{
top[son[now][0]] = top[now];
init2(son[now][0]);
init2(son[now][1]);
bot[now] = bot[son[now][0]];
v[now] = v[son[now][0]] * v[son[now][1]].f();
}
else
bot[now] = now;
}
#define lson (now << 1)
#define rson (lson | 1)
#define lmid ((l + r) >> 1)
#define rmid (lmid + 1)
void pushup(int now) { t[now] = t[lson] * t[rson]; }
void build(int now = 1, int l = 1, int r = n)
{
if (l == r)
{
t[now] = v[son[idfn[l]][1]].f();
return;
}
build(lson, l, lmid);
build(rson, rmid, r);
pushup(now);
}
matrix query(int L, int R, int now = 1, int l = 1, int r = n)
{
if (R < l || r < L)
return I;
if (L <= l && r <= R)
return t[now];
return query(L, R, lson, l, lmid) * query(L, R, rson, rmid, r);
}
void modify(int pos, matrix val, int now = 1, int l = 1, int r = n)
{
if (l == r)
return void(t[now] = val);
if (pos <= lmid)
modify(pos, val, lson, l, lmid);
else
modify(pos, val, rson, rmid, r);
pushup(now);
}
vector update(int now)
{
while (top[now] != 1)
{
modify(dfn[fa[top[now]]], (v[bot[now]] * query(dfn[top[now]], dfn[bot[now]] - 1)).f());
now = fa[top[now]];
}
return v[bot[now]] * query(dfn[top[now]], dfn[bot[now]] - 1);
}
signed main()
{
I.v[0][0] = I.v[1][1] = I.v[2][2] = 1;
std::ios::sync_with_stdio(false);
std::cin >> n >> q;
for (int i = 1; i <= n; ++i)
{
std::cin >> c[i];
if (c[i] == 'x')
std::cin >> son[i][0] >> son[i][1];
else
std::cin >> v[i];
}
init(1);
init2(1);
build();
for (int i = 1, pos; i <= q; ++i)
{
std::cin >> pos >> v[pos];
std::cout << sgn * update(pos) << std::endl;
}
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 30128kb
input:
5 3 x 2 3 v 1 0 1 x 4 5 v 0 2 1 v 1 1 1 4 1 2 3 5 0 1 1 4 0 2 2
output:
998244351 0 2 1 998244351 998244352 0 0 0
result:
ok 9 numbers
Test #2:
score: 0
Accepted
time: 1334ms
memory: 30832kb
input:
199999 100000 x 137025 65661 v 572518668 158967010 74946561 x 129836 192657 x 141948 187810 v 574918069 328924434 141474729 x 143312 111002 x 52772 148497 v 922857701 690080961 651915759 v 656198340 28002884 129579416 v 639893144 265359784 646791226 v 796871409 411409966 598676495 v 882562617 224394...
output:
393120558 773766615 387297348 759959566 981774500 128012497 294611811 980011608 533642029 404379574 745296852 53493560 404565501 828869760 78021156 592494858 647751304 881427733 190018467 515243135 518180555 628180500 509984554 257430135 13737245 352087791 917410487 932051309 366591227 479931477 199...
result:
ok 300000 numbers
Test #3:
score: 0
Accepted
time: 1140ms
memory: 30956kb
input:
199999 100000 x 154525 80092 v 450407262 725458410 590777520 x 24720 135901 v 719242117 114943104 186796011 v 382530926 89156744 943939337 x 183376 26042 x 109984 157873 x 151637 150600 x 4115 27454 x 163135 92648 x 16764 33212 v 849210403 945083972 689295397 v 471196117 68587428 225597765 x 24643 5...
output:
677067461 996514296 449166851 810403092 258196842 853459733 410756156 253348518 912664471 327134890 519245783 922528759 317367558 536888537 506214109 484753530 879045782 772404948 422920052 152084658 517340457 1207902 348787162 320821077 776293878 699474926 711114530 871858473 468497588 822120121 24...
result:
ok 300000 numbers
Test #4:
score: 0
Accepted
time: 886ms
memory: 30840kb
input:
199999 100000 x 72889 193806 x 35339 33069 v 314802407 406980523 492377265 x 108307 60027 x 144922 140917 v 328481079 117663280 644171354 v 482028404 951751561 166221217 v 936461869 436114879 421819757 x 152919 99965 x 61168 150607 v 56403640 743462679 134896557 v 24809217 462947115 966139991 v 7828...
output:
23709876 380448367 629159667 760678420 539369190 611778104 114926687 653692915 939877414 674199470 304745735 544123803 953800112 186017361 49200537 327282782 871001677 293980713 588783157 502130649 190564297 102680906 993889016 963478755 510012481 105416897 281770975 811082806 367139818 493674194 32...
result:
ok 300000 numbers
Test #5:
score: 0
Accepted
time: 761ms
memory: 30892kb
input:
199999 100000 x 134204 79203 v 152855933 152545887 271660214 v 393332175 182708769 115884220 v 731792305 965028257 676889584 x 89631 14495 x 142016 85686 v 600051847 172947969 906920949 v 846126215 214556203 657929902 x 125721 133526 x 93179 35713 v 330716449 450417250 611411649 v 114397688 58644961...
output:
139597616 375474977 14619793 889328460 79727434 363703631 397351102 877961602 429046190 588368345 819425899 502148739 520578911 186408072 484373545 997888597 816534316 338411279 334166269 288211584 608252640 509280845 362972392 286415695 363396960 878881251 3658455 711270872 94816531 100279034 48844...
result:
ok 300000 numbers
Test #6:
score: 0
Accepted
time: 635ms
memory: 31140kb
input:
199999 100000 x 29842 60343 x 22382 27649 v 148997533 411153785 529195552 v 831453378 856711025 439562917 x 183061 152107 v 208562249 845550020 248974502 x 8708 152913 v 901332053 480035531 424365358 v 120556946 620074725 884675784 v 493886564 455460926 851190410 x 63346 64739 x 35246 36255 v 762936...
output:
236797322 190218414 70559261 661765898 266356472 481630021 410967670 613729303 804008156 92638320 37926778 82924205 357869883 232766711 579608532 691702082 124868602 187367212 237610689 608489848 581104410 848616732 907873139 859807891 614624615 454674844 673629667 485784731 743926138 168595096 1826...
result:
ok 300000 numbers
Test #7:
score: 0
Accepted
time: 667ms
memory: 31364kb
input:
199999 100000 x 179471 175117 x 189060 178495 x 20142 58065 x 22916 150184 v 704047412 186112247 660817663 v 761554808 199099716 794321264 v 362925435 508140595 251556541 v 65674025 717152823 157775106 v 325965317 977108704 50644678 v 566946741 833186394 771714200 v 996708965 76780827 625429369 v 85...
output:
365258325 105829774 612397830 731509055 576900445 663777200 553518677 415454275 7683807 468131249 577225931 513594285 215590236 861146274 812820392 669985796 229486834 564691763 929231866 520228049 774609748 29950289 569366391 721072115 644573107 513714638 554458153 728007201 423847330 100860143 192...
result:
ok 300000 numbers
Test #8:
score: 0
Accepted
time: 640ms
memory: 32188kb
input:
199999 100000 x 73506 171332 x 135330 187765 v 308206068 679940956 278078069 v 442448744 196158033 738117032 x 194709 115786 v 208526122 936976225 340056181 x 42663 43401 x 55484 199464 v 865443128 131903961 74265613 x 44659 44773 x 32199 18455 v 986118756 284329619 244212114 v 793747964 649179736 4...
output:
429717039 868308596 175018519 966246118 532451840 773132006 457086098 631788280 989689243 550574851 6706768 416615899 285141084 505326489 916518702 457465389 653530244 951605771 614211832 767828057 44273794 698196640 494937773 99337798 718503234 422078037 151379051 20520347 707143833 781787052 24220...
result:
ok 300000 numbers
Test #9:
score: 0
Accepted
time: 644ms
memory: 32688kb
input:
199999 100000 x 109220 170287 v 563361501 367416904 98790213 x 31431 96958 x 99594 159052 x 95382 129615 v 61965807 547448247 405891792 v 443530416 578856323 588763197 v 761021716 795533831 212530056 v 370964907 391812631 255457982 x 49713 153066 x 141543 111694 v 144135957 614962153 284136518 x 416...
output:
433293962 336914247 747368803 992117520 9180464 159616244 483825959 496735833 964507719 912495370 737285784 595438897 467123496 44306423 562070292 903488238 42971643 61415659 269853145 336741491 565138878 926999098 134871683 277614816 644727031 476324825 69621281 984868613 112590560 688626178 657736...
result:
ok 300000 numbers
Test #10:
score: 0
Accepted
time: 0ms
memory: 29984kb
input:
3 1 x 2 3 v 998244352 998244352 998244352 v 0 0 0 3 1 2 0
output:
2 998244352 998244352
result:
ok 3 number(s): "2 998244352 998244352"
Test #11:
score: 0
Accepted
time: 637ms
memory: 33968kb
input:
199999 100000 x 199465 1690 x 70268 106693 v 194793703 729830314 457557419 x 64673 6910 v 755452906 141328541 558160677 v 725017524 158685295 201414156 x 161801 27226 x 181414 47025 v 387724146 819109666 514628998 v 252532326 97757436 828777580 v 200868967 692540096 706977766 v 300419109 2053530 824...
output:
627210517 640945891 400484640 305641486 893058825 99893167 735729088 805595533 283037791 377070714 357962902 336785549 835938680 634694731 22388934 493696932 612552793 516945234 963890355 517530875 48223226 215318080 742583745 379791022 135074745 970450812 921824280 86572382 481696244 728925909 6372...
result:
ok 300000 numbers
Test #12:
score: 0
Accepted
time: 525ms
memory: 38248kb
input:
199999 100000 x 37758 141919 v 148792593 369372129 595139892 x 59335 149367 v 452667329 904801829 628919068 v 160106559 532238331 179544300 v 850489754 705167899 265598880 x 120963 167491 x 92157 46815 v 444945978 987276260 843838004 x 189040 28027 v 889755401 760730228 3237333 x 168907 82672 v 2329...
output:
897185498 177437016 653646802 48860209 883514812 764698776 505088312 585962448 546090395 914246027 540944167 682989725 965835151 803706423 302298107 452996535 714783487 961852197 882717809 425959754 886391042 203667304 454663502 78105722 512196135 727218227 418204527 274934801 270977361 824228740 74...
result:
ok 300000 numbers
Extra Test:
score: 0
Extra Test Passed