QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#246157 | #7632. Balanced Arrays | alpha1022 | AC ✓ | 41ms | 19568kb | C++14 | 1.1kb | 2023-11-10 16:40:34 | 2023-11-10 16:40:34 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int mod = 998244353;
void add(int &x, int y) { if ((x += y - mod) < 0) x += mod; }
int quo2(int x) { return (x + (x & 1 ? mod : 0)) >> 1; }
const int N = 5e5;
int n, m;
int inv[N * 2 + 5];
int f[N + 5], fs[N + 5], g[N * 2 + 5], h[N * 2 + 5];
void solve(int n, int w) {
h[0] = 1, h[1] = n * 2 + 1;
for (int i = 2; i <= m * 2; ++i)
h[i] = ((ll)(n * 2 + 1) * h[i - 1] + (ll)(i - 1) * h[i - 2]) % mod * inv[i] % mod;
for (int i = 0; i <= m * 2; ++i) g[i] = (g[i] + (ll)h[i] * w) % mod;
}
int ans;
int main() {
scanf("%d%d", &n, &m), ++m;
inv[1] = 1;
for (int i = 2; i <= m * 2; ++i) inv[i] = (ll)(mod - mod / i) * inv[mod % i] % mod;
f[0] = 1;
for (int i = 1; i <= m; ++i)
f[i] = (ll)(i + quo2(mod - 3)) * f[i - 1] % mod * inv[i] % mod;
fs[0] = 1;
for (int i = 1; i <= m; ++i) add(fs[i] = f[i], fs[i - 1]);
solve(n - 1, 1), solve(n, mod - 2), solve(n + 1, 1);
for (int i = 0; i <= m; ++i)
ans = (ans + (ll)g[i * 2] * f[i] % mod * fs[m - i]) % mod;
if (ans = quo2(ans)) ans = mod - ans;
printf("%d\n", ans);
}
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: 0ms
memory: 10012kb
input:
2 2
output:
9
result:
ok 1 number(s): "9"
Test #2:
score: 0
Accepted
time: 33ms
memory: 19416kb
input:
500000 500000
output:
984531374
result:
ok 1 number(s): "984531374"
Test #3:
score: 0
Accepted
time: 0ms
memory: 10008kb
input:
500000 1
output:
219705876
result:
ok 1 number(s): "219705876"
Test #4:
score: 0
Accepted
time: 33ms
memory: 19540kb
input:
1 500000
output:
500001
result:
ok 1 number(s): "500001"
Test #5:
score: 0
Accepted
time: 25ms
memory: 17008kb
input:
500000 353535
output:
33730077
result:
ok 1 number(s): "33730077"
Test #6:
score: 0
Accepted
time: 37ms
memory: 19568kb
input:
353535 500000
output:
182445298
result:
ok 1 number(s): "182445298"
Test #7:
score: 0
Accepted
time: 38ms
memory: 19500kb
input:
499999 499999
output:
933220940
result:
ok 1 number(s): "933220940"
Test #8:
score: 0
Accepted
time: 34ms
memory: 19484kb
input:
499999 499998
output:
899786345
result:
ok 1 number(s): "899786345"
Test #9:
score: 0
Accepted
time: 25ms
memory: 18636kb
input:
377773 400009
output:
206748715
result:
ok 1 number(s): "206748715"
Test #10:
score: 0
Accepted
time: 5ms
memory: 14944kb
input:
499999 100001
output:
482775773
result:
ok 1 number(s): "482775773"
Test #11:
score: 0
Accepted
time: 40ms
memory: 19344kb
input:
444445 488884
output:
70939759
result:
ok 1 number(s): "70939759"
Test #12:
score: 0
Accepted
time: 29ms
memory: 19020kb
input:
488885 444449
output:
591315327
result:
ok 1 number(s): "591315327"
Test #13:
score: 0
Accepted
time: 1ms
memory: 9952kb
input:
500000 111
output:
313439156
result:
ok 1 number(s): "313439156"
Test #14:
score: 0
Accepted
time: 37ms
memory: 18516kb
input:
333333 444444
output:
403492103
result:
ok 1 number(s): "403492103"
Test #15:
score: 0
Accepted
time: 29ms
memory: 17704kb
input:
499994 343433
output:
334451699
result:
ok 1 number(s): "334451699"
Test #16:
score: 0
Accepted
time: 27ms
memory: 19256kb
input:
477774 411113
output:
63883341
result:
ok 1 number(s): "63883341"
Test #17:
score: 0
Accepted
time: 36ms
memory: 18968kb
input:
123456 432109
output:
238795570
result:
ok 1 number(s): "238795570"
Test #18:
score: 0
Accepted
time: 34ms
memory: 19280kb
input:
131331 467777
output:
834790039
result:
ok 1 number(s): "834790039"
Test #19:
score: 0
Accepted
time: 1ms
memory: 9940kb
input:
500000 2
output:
304727284
result:
ok 1 number(s): "304727284"
Test #20:
score: 0
Accepted
time: 1ms
memory: 10004kb
input:
1111 111
output:
98321603
result:
ok 1 number(s): "98321603"
Test #21:
score: 0
Accepted
time: 41ms
memory: 19328kb
input:
416084 493105
output:
916827025
result:
ok 1 number(s): "916827025"
Test #22:
score: 0
Accepted
time: 9ms
memory: 14032kb
input:
53888 138663
output:
57263952
result:
ok 1 number(s): "57263952"
Test #23:
score: 0
Accepted
time: 27ms
memory: 18496kb
input:
219161 382743
output:
304889787
result:
ok 1 number(s): "304889787"
Test #24:
score: 0
Accepted
time: 27ms
memory: 17516kb
input:
181392 318090
output:
12528742
result:
ok 1 number(s): "12528742"
Test #25:
score: 0
Accepted
time: 31ms
memory: 19100kb
input:
135930 422947
output:
554153000
result:
ok 1 number(s): "554153000"
Test #26:
score: 0
Accepted
time: 18ms
memory: 16024kb
input:
280507 210276
output:
812816587
result:
ok 1 number(s): "812816587"
Test #27:
score: 0
Accepted
time: 35ms
memory: 19256kb
input:
253119 420465
output:
124024302
result:
ok 1 number(s): "124024302"
Test #28:
score: 0
Accepted
time: 9ms
memory: 13312kb
input:
446636 97448
output:
150388382
result:
ok 1 number(s): "150388382"
Test #29:
score: 0
Accepted
time: 11ms
memory: 13920kb
input:
284890 126665
output:
786559507
result:
ok 1 number(s): "786559507"
Test #30:
score: 0
Accepted
time: 0ms
memory: 10452kb
input:
186708 28279
output:
607509026
result:
ok 1 number(s): "607509026"
Extra Test:
score: 0
Extra Test Passed