QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#167449 | #6417. Classical Summation Problem | realIyxiang# | AC ✓ | 274ms | 11348kb | C++14 | 1.2kb | 2023-09-07 14:53:40 | 2023-09-07 14:53:40 |
Judging History
answer
#include <cstdio>
#include <iostream>
#include <algorithm>
using namespace std;
#define rep(i, l, r) for (int i = l; i <= r; ++i)
const int N = 1e6 + 5;
const int P = 998244353;
int n, m, ans, fac[N], inv[N];
int inc (int a, int b) { return (a += b) >= P ? a - P : a; }
int dec (int a, int b) { return (a -= b) < 0 ? a + P : a; }
int mul (int a, int b) { return 1ll * a * b % P; }
int fpow (int a, int b) { int ans = 1; for ( ; b; a = mul(a, a), b >>= 1) if(b & 1) ans = mul(ans, a); return ans; }
int C (int n, int m) { return mul(fac[n], mul(inv[m], inv[n - m])); }
void init (int n) {
fac[0] = inv[0] = 1;
rep(i, 1, n) fac[i] = mul(fac[i - 1], i), inv[i] = fpow(fac[i], P - 2);
}
int main () {
ios :: sync_with_stdio(0), cin.tie(0), cout.tie(0);
cin >> n >> m, init(m);
/*rep(i, 1, n - 1) for (int j = 0; 2 * j < m; ++j)
ans = inc(ans, mul(C(m, j), mul(fpow(i, j), fpow(n - i, m - j)))); */
ans = mul(n - 1, fpow(n, m));
if(m % 2 == 0) {
rep(i, 1, n - 1) ans = dec(ans, mul(C(m, m / 2), mul(fpow(i, m / 2), fpow(n - i, m / 2))));
}
ans = mul(ans, fpow(2, P - 2));
ans = inc(ans, fpow(n, m));
cout << ans << '\n';
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 5576kb
input:
3 2
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5560kb
input:
5 3
output:
375
result:
ok 1 number(s): "375"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5436kb
input:
2 2
output:
5
result:
ok 1 number(s): "5"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5440kb
input:
10 9
output:
508778235
result:
ok 1 number(s): "508778235"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5448kb
input:
69 3
output:
11497815
result:
ok 1 number(s): "11497815"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5412kb
input:
994 515
output:
33689623
result:
ok 1 number(s): "33689623"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5604kb
input:
4476 6182
output:
114894183
result:
ok 1 number(s): "114894183"
Test #8:
score: 0
Accepted
time: 3ms
memory: 5488kb
input:
58957 12755
output:
932388891
result:
ok 1 number(s): "932388891"
Test #9:
score: 0
Accepted
time: 23ms
memory: 5600kb
input:
218138 28238
output:
392861201
result:
ok 1 number(s): "392861201"
Test #10:
score: 0
Accepted
time: 126ms
memory: 9884kb
input:
644125 316810
output:
420621854
result:
ok 1 number(s): "420621854"
Test #11:
score: 0
Accepted
time: 149ms
memory: 9276kb
input:
612914 505428
output:
973686286
result:
ok 1 number(s): "973686286"
Test #12:
score: 0
Accepted
time: 115ms
memory: 10912kb
input:
998216 938963
output:
251335926
result:
ok 1 number(s): "251335926"
Test #13:
score: 0
Accepted
time: 126ms
memory: 11196kb
input:
990516 996933
output:
549551960
result:
ok 1 number(s): "549551960"
Test #14:
score: 0
Accepted
time: 272ms
memory: 11184kb
input:
999019 999012
output:
637189128
result:
ok 1 number(s): "637189128"
Test #15:
score: 0
Accepted
time: 274ms
memory: 11252kb
input:
999928 999950
output:
185229465
result:
ok 1 number(s): "185229465"
Test #16:
score: 0
Accepted
time: 127ms
memory: 11248kb
input:
999999 999999
output:
384164916
result:
ok 1 number(s): "384164916"
Test #17:
score: 0
Accepted
time: 270ms
memory: 11208kb
input:
999999 1000000
output:
696165930
result:
ok 1 number(s): "696165930"
Test #18:
score: 0
Accepted
time: 126ms
memory: 11236kb
input:
1000000 999999
output:
219071706
result:
ok 1 number(s): "219071706"
Test #19:
score: 0
Accepted
time: 269ms
memory: 11236kb
input:
1000000 1000000
output:
128206597
result:
ok 1 number(s): "128206597"
Test #20:
score: 0
Accepted
time: 1ms
memory: 5448kb
input:
2 10
output:
1410
result:
ok 1 number(s): "1410"
Test #21:
score: 0
Accepted
time: 1ms
memory: 5608kb
input:
84 16
output:
297627153
result:
ok 1 number(s): "297627153"
Test #22:
score: 0
Accepted
time: 2ms
memory: 5424kb
input:
643 800
output:
489237163
result:
ok 1 number(s): "489237163"
Test #23:
score: 0
Accepted
time: 2ms
memory: 5424kb
input:
9903 880
output:
595167333
result:
ok 1 number(s): "595167333"
Test #24:
score: 0
Accepted
time: 20ms
memory: 5804kb
input:
97446 89750
output:
410205549
result:
ok 1 number(s): "410205549"
Test #25:
score: 0
Accepted
time: 104ms
memory: 10056kb
input:
186460 646474
output:
32638530
result:
ok 1 number(s): "32638530"
Test #26:
score: 0
Accepted
time: 97ms
memory: 9712kb
input:
508940 244684
output:
598321755
result:
ok 1 number(s): "598321755"
Test #27:
score: 0
Accepted
time: 146ms
memory: 10788kb
input:
583646 557758
output:
858695621
result:
ok 1 number(s): "858695621"
Test #28:
score: 0
Accepted
time: 265ms
memory: 11348kb
input:
969610 992608
output:
256683498
result:
ok 1 number(s): "256683498"
Test #29:
score: 0
Accepted
time: 272ms
memory: 11208kb
input:
995106 996434
output:
411791999
result:
ok 1 number(s): "411791999"
Test #30:
score: 0
Accepted
time: 265ms
memory: 11300kb
input:
999961 999872
output:
61222370
result:
ok 1 number(s): "61222370"
Test #31:
score: 0
Accepted
time: 271ms
memory: 11252kb
input:
999977 999908
output:
831096762
result:
ok 1 number(s): "831096762"
Test #32:
score: 0
Accepted
time: 274ms
memory: 11244kb
input:
999992 999998
output:
562977678
result:
ok 1 number(s): "562977678"
Test #33:
score: 0
Accepted
time: 8ms
memory: 5552kb
input:
1000000 2
output:
118436113
result:
ok 1 number(s): "118436113"
Test #34:
score: 0
Accepted
time: 126ms
memory: 11240kb
input:
2 1000000
output:
298823641
result:
ok 1 number(s): "298823641"