QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#350455 | #8171. Cola | ucup-team2307# | AC ✓ | 590ms | 393908kb | C++14 | 2.3kb | 2024-03-10 18:47:31 | 2024-03-10 18:47:31 |
Judging History
answer
#pragma GCC optimize("trapv")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int mod = 998244353;
int inv(int x) {
return x < 2 ? x : mod - (mod / x) * 1ll * inv(mod % x) % mod;
}
vector<ll> get_pent(int n) {
vector<ll> penta(n + 1);
penta[0] = 1;
penta[1] = -1;
for(ll x = 0; x <= n; x++) {
ll a = (3*x*x+7*x+4) / 2;
ll b = a + 2*x + 3;
// cout << a << " " << b << endl;
if(a > n && b > n) break;
if(a <= n) penta[a] = x % 2 ? 1 : -1;
if(b <= n) penta[b] = (x+1) % 2 ? 1 : -1;
}
return penta;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, m;
cin >> n >> m;
// vector<ll> dp(m); dp[0] = 1;
// for(int k = n; k >= 1; k--) {
// int X = inv(k) % mod;
// vector<ll> ndp(m);
// for(int i = m; i--;) {
// for(int t = 0; t < k && i - t >= 0; t++)
// ndp[i] = (ndp[i] + dp[i - t] * X) % mod;
// }
// dp = ndp;
// }
// ll fact = 1, v = 0;
// for(int i = 0; i < m; i++) v = (v + dp[i]) % mod;
// cout << v << endl;
// vector<ll> dp(n + 1);dp[0] = 1;
// for(int i = 1; i <= n; i++) {
// for(int j = n; j - i >= 0; j--)
// dp[j] = (dp[j] + mod - dp[j - i]) % mod;
// }
auto dp = get_pent(n + 1);
vector<ll> fact(2*n + 1, 1), ifact(2*n + 1, 1);
for(int i = 2; i <= 2*n; i++) {
ifact[i] = mod - (mod / i) * ifact[mod % i] % mod;
}
for(int i = 2; i <= 2*n; i++) {
fact[i] = fact[i-1] * 1ll * i % mod;
ifact[i] = ifact[i - 1] * 1ll * ifact[i] % mod;
}
auto C = [&](int n, int k) -> ll{
if(k < 0 || k > n) return 0;
ll res = fact[n] * ifact[k] % mod;
return res * ifact[n - k] % mod;
};
int T = n + 1;
// for(int T = n + 1; T--;) {
// for(int i = 1; i <= n; i++) {
// // assert(i < dp.size());
// (dp[i] += dp[i - 1]) %=mod;
// }
// }
ll v = 0;m--;
for(int i = 0; i <= m; i++) {
// cout << C(i+T-1, i) << " " << dp[m - i] << endl;
v = (v + C(i+T-1, i) * dp[m - i]) % mod;
}
v = v * ifact[n] % mod;
v = (mod + v) % mod;
cout << v << endl;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3536kb
input:
2 1
output:
499122177
result:
ok "499122177"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
1 1
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3548kb
input:
167 91
output:
469117530
result:
ok "469117530"
Test #4:
score: 0
Accepted
time: 532ms
memory: 386120kb
input:
9806463 8975779
output:
125384417
result:
ok "125384417"
Test #5:
score: 0
Accepted
time: 516ms
memory: 360000kb
input:
9138576 8731432
output:
306972756
result:
ok "306972756"
Test #6:
score: 0
Accepted
time: 548ms
memory: 392948kb
input:
9978791 9033584
output:
932159263
result:
ok "932159263"
Test #7:
score: 0
Accepted
time: 561ms
memory: 386512kb
input:
9811954 9790000
output:
404679920
result:
ok "404679920"
Test #8:
score: 0
Accepted
time: 532ms
memory: 381388kb
input:
9685105 9276909
output:
32996715
result:
ok "32996715"
Test #9:
score: 0
Accepted
time: 589ms
memory: 393736kb
input:
10000000 10000000
output:
309225852
result:
ok "309225852"
Test #10:
score: 0
Accepted
time: 590ms
memory: 393836kb
input:
10000000 9999999
output:
635234302
result:
ok "635234302"
Test #11:
score: 0
Accepted
time: 567ms
memory: 393904kb
input:
10000000 9999998
output:
239117935
result:
ok "239117935"
Test #12:
score: 0
Accepted
time: 562ms
memory: 393868kb
input:
10000000 9999997
output:
294859983
result:
ok "294859983"
Test #13:
score: 0
Accepted
time: 564ms
memory: 393784kb
input:
9999999 9999999
output:
305530110
result:
ok "305530110"
Test #14:
score: 0
Accepted
time: 568ms
memory: 393812kb
input:
9999999 9999998
output:
164959553
result:
ok "164959553"
Test #15:
score: 0
Accepted
time: 575ms
memory: 393772kb
input:
9999999 9999997
output:
532215262
result:
ok "532215262"
Test #16:
score: 0
Accepted
time: 563ms
memory: 393768kb
input:
9999999 9999996
output:
123628609
result:
ok "123628609"
Test #17:
score: 0
Accepted
time: 573ms
memory: 393732kb
input:
9999998 9999998
output:
223852357
result:
ok "223852357"
Test #18:
score: 0
Accepted
time: 581ms
memory: 393768kb
input:
9999998 9999997
output:
75877991
result:
ok "75877991"
Test #19:
score: 0
Accepted
time: 564ms
memory: 393904kb
input:
9999998 9999996
output:
494540335
result:
ok "494540335"
Test #20:
score: 0
Accepted
time: 568ms
memory: 393820kb
input:
9999998 9999995
output:
19191738
result:
ok "19191738"
Test #21:
score: 0
Accepted
time: 570ms
memory: 393828kb
input:
9999997 9999997
output:
238385746
result:
ok "238385746"
Test #22:
score: 0
Accepted
time: 552ms
memory: 393900kb
input:
9999997 9999996
output:
138191521
result:
ok "138191521"
Test #23:
score: 0
Accepted
time: 556ms
memory: 393740kb
input:
9999997 9999995
output:
721536184
result:
ok "721536184"
Test #24:
score: 0
Accepted
time: 541ms
memory: 393908kb
input:
9999997 9999994
output:
627112720
result:
ok "627112720"
Test #25:
score: 0
Accepted
time: 373ms
memory: 320124kb
input:
8113616 1826492
output:
629546539
result:
ok "629546539"
Test #26:
score: 0
Accepted
time: 364ms
memory: 285564kb
input:
7230333 4233627
output:
870135249
result:
ok "870135249"
Test #27:
score: 0
Accepted
time: 536ms
memory: 383476kb
input:
9734872 9617286
output:
780426509
result:
ok "780426509"
Test #28:
score: 0
Accepted
time: 373ms
memory: 267840kb
input:
6780022 6393958
output:
508662111
result:
ok "508662111"
Test #29:
score: 0
Accepted
time: 221ms
memory: 198000kb
input:
4986441 1909344
output:
762587564
result:
ok "762587564"
Test #30:
score: 0
Accepted
time: 445ms
memory: 391192kb
input:
9936540 91728
output:
651924678
result:
ok "651924678"
Test #31:
score: 0
Accepted
time: 394ms
memory: 358712kb
input:
9099529 94239
output:
775532638
result:
ok "775532638"
Test #32:
score: 0
Accepted
time: 433ms
memory: 376636kb
input:
9564814 93545
output:
474538902
result:
ok "474538902"
Test #33:
score: 0
Accepted
time: 453ms
memory: 382404kb
input:
9707744 92094
output:
354024226
result:
ok "354024226"
Test #34:
score: 0
Accepted
time: 401ms
memory: 361344kb
input:
9167687 94820
output:
858989558
result:
ok "858989558"
Test #35:
score: 0
Accepted
time: 456ms
memory: 393740kb
input:
10000000 100000
output:
609345536
result:
ok "609345536"
Test #36:
score: 0
Accepted
time: 437ms
memory: 393776kb
input:
10000000 99999
output:
217258255
result:
ok "217258255"
Test #37:
score: 0
Accepted
time: 438ms
memory: 393724kb
input:
10000000 99998
output:
485057696
result:
ok "485057696"
Test #38:
score: 0
Accepted
time: 417ms
memory: 393752kb
input:
10000000 99997
output:
193579142
result:
ok "193579142"
Test #39:
score: 0
Accepted
time: 415ms
memory: 393740kb
input:
9999999 100000
output:
584105896
result:
ok "584105896"
Test #40:
score: 0
Accepted
time: 423ms
memory: 393736kb
input:
9999999 99999
output:
707014865
result:
ok "707014865"
Test #41:
score: 0
Accepted
time: 420ms
memory: 393768kb
input:
9999999 99998
output:
872987417
result:
ok "872987417"
Test #42:
score: 0
Accepted
time: 431ms
memory: 393908kb
input:
9999999 99997
output:
707304988
result:
ok "707304988"
Test #43:
score: 0
Accepted
time: 426ms
memory: 393772kb
input:
9999998 100000
output:
789028925
result:
ok "789028925"
Test #44:
score: 0
Accepted
time: 436ms
memory: 393832kb
input:
9999998 99999
output:
628266237
result:
ok "628266237"
Test #45:
score: 0
Accepted
time: 432ms
memory: 393892kb
input:
9999998 99998
output:
38358057
result:
ok "38358057"
Test #46:
score: 0
Accepted
time: 428ms
memory: 393756kb
input:
9999998 99997
output:
785931240
result:
ok "785931240"
Test #47:
score: 0
Accepted
time: 422ms
memory: 393740kb
input:
9999997 100000
output:
945452715
result:
ok "945452715"
Test #48:
score: 0
Accepted
time: 416ms
memory: 393736kb
input:
9999997 99999
output:
537126025
result:
ok "537126025"
Test #49:
score: 0
Accepted
time: 430ms
memory: 393832kb
input:
9999997 99998
output:
837196653
result:
ok "837196653"
Test #50:
score: 0
Accepted
time: 425ms
memory: 393892kb
input:
9999997 99997
output:
263045713
result:
ok "263045713"
Test #51:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
2 2
output:
1
result:
ok "1"
Test #52:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
3 3
output:
831870295
result:
ok "831870295"
Test #53:
score: 0
Accepted
time: 1ms
memory: 3488kb
input:
4 4
output:
374341633
result:
ok "374341633"
Test #54:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
3 2
output:
499122177
result:
ok "499122177"
Test #55:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
4 3
output:
623902721
result:
ok "623902721"
Test #56:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
5 4
output:
890101215
result:
ok "890101215"
Test #57:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
3 1
output:
166374059
result:
ok "166374059"
Test #58:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
4 2
output:
166374059
result:
ok "166374059"
Test #59:
score: 0
Accepted
time: 0ms
memory: 3496kb
input:
5 3
output:
16637406
result:
ok "16637406"
Test #60:
score: 0
Accepted
time: 1ms
memory: 3548kb
input:
6 4
output:
508827330
result:
ok "508827330"
Test #61:
score: 0
Accepted
time: 1ms
memory: 3496kb
input:
4 1
output:
291154603
result:
ok "291154603"
Test #62:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
5 2
output:
291154603
result:
ok "291154603"
Test #63:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
6 3
output:
859599304
result:
ok "859599304"
Test #64:
score: 0
Accepted
time: 1ms
memory: 3532kb
input:
7 4
output:
694809760
result:
ok "694809760"
Test #65:
score: 0
Accepted
time: 225ms
memory: 222932kb
input:
5629201 38642
output:
327294391
result:
ok "327294391"
Test #66:
score: 0
Accepted
time: 3ms
memory: 8124kb
input:
126092 74219
output:
27573951
result:
ok "27573951"
Test #67:
score: 0
Accepted
time: 343ms
memory: 338960kb
input:
8593075 8689
output:
393785113
result:
ok "393785113"
Test #68:
score: 0
Accepted
time: 36ms
memory: 45392kb
input:
1076972 58637
output:
600806929
result:
ok "600806929"
Test #69:
score: 0
Accepted
time: 13ms
memory: 21284kb
input:
463217 39187
output:
408712022
result:
ok "408712022"
Extra Test:
score: 0
Extra Test Passed