QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#472159 | #6417. Classical Summation Problem | UESTC_OldEastWest# | AC ✓ | 169ms | 11524kb | C++20 | 1.1kb | 2024-07-11 14:46:37 | 2024-07-11 14:46:37 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
using namespace std;
const int M = 1e6+5;
const int mod = 998244353;
inline int ksm(int x, int p) {
if (p == 0) return 1;
if (p == 1) return x;
int t = ksm(x, p >> 1);
if (p & 1) return t * t % mod * x % mod;
return t * t % mod;
}
inline int inv(int x) {
return ksm(x % mod, mod - 2);
}
int fac[M];
inline void pre() {
fac[0] = 1;
for (int i = 1; i < M; i++) fac[i] = fac[i - 1] * i % mod;
}
inline int C(int n, int m) {
if (n < m) return 0;
return fac[n] * inv(fac[m]) % mod * inv(fac[n - m]) % mod;
}
signed main() {
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
int n, k;
pre(); cin >> n >> k;
int ans = (n + 1) * ksm(n, k) % mod * inv(2) % mod;
if (k & 1) return cout << ans << endl, 0;
int res = 0;
for (int i = 1; i <= n - 1; i++) (res += ksm(i, k / 2) * ksm(n - i, k / 2) % mod) %= mod;
res = res * C(k, k / 2) % mod;
ans = ((ans - res * inv(2) % mod) % mod + mod) % mod;
cout << ans << endl;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 6ms
memory: 11504kb
input:
3 2
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 6ms
memory: 11388kb
input:
5 3
output:
375
result:
ok 1 number(s): "375"
Test #3:
score: 0
Accepted
time: 5ms
memory: 11428kb
input:
2 2
output:
5
result:
ok 1 number(s): "5"
Test #4:
score: 0
Accepted
time: 5ms
memory: 11392kb
input:
10 9
output:
508778235
result:
ok 1 number(s): "508778235"
Test #5:
score: 0
Accepted
time: 6ms
memory: 11436kb
input:
69 3
output:
11497815
result:
ok 1 number(s): "11497815"
Test #6:
score: 0
Accepted
time: 5ms
memory: 11520kb
input:
994 515
output:
33689623
result:
ok 1 number(s): "33689623"
Test #7:
score: 0
Accepted
time: 6ms
memory: 11504kb
input:
4476 6182
output:
114894183
result:
ok 1 number(s): "114894183"
Test #8:
score: 0
Accepted
time: 5ms
memory: 11504kb
input:
58957 12755
output:
932388891
result:
ok 1 number(s): "932388891"
Test #9:
score: 0
Accepted
time: 26ms
memory: 11460kb
input:
218138 28238
output:
392861201
result:
ok 1 number(s): "392861201"
Test #10:
score: 0
Accepted
time: 94ms
memory: 11452kb
input:
644125 316810
output:
420621854
result:
ok 1 number(s): "420621854"
Test #11:
score: 0
Accepted
time: 98ms
memory: 11368kb
input:
612914 505428
output:
973686286
result:
ok 1 number(s): "973686286"
Test #12:
score: 0
Accepted
time: 6ms
memory: 11396kb
input:
998216 938963
output:
251335926
result:
ok 1 number(s): "251335926"
Test #13:
score: 0
Accepted
time: 5ms
memory: 11444kb
input:
990516 996933
output:
549551960
result:
ok 1 number(s): "549551960"
Test #14:
score: 0
Accepted
time: 169ms
memory: 11424kb
input:
999019 999012
output:
637189128
result:
ok 1 number(s): "637189128"
Test #15:
score: 0
Accepted
time: 143ms
memory: 11428kb
input:
999928 999950
output:
185229465
result:
ok 1 number(s): "185229465"
Test #16:
score: 0
Accepted
time: 6ms
memory: 11448kb
input:
999999 999999
output:
384164916
result:
ok 1 number(s): "384164916"
Test #17:
score: 0
Accepted
time: 130ms
memory: 11364kb
input:
999999 1000000
output:
696165930
result:
ok 1 number(s): "696165930"
Test #18:
score: 0
Accepted
time: 2ms
memory: 11428kb
input:
1000000 999999
output:
219071706
result:
ok 1 number(s): "219071706"
Test #19:
score: 0
Accepted
time: 130ms
memory: 11396kb
input:
1000000 1000000
output:
128206597
result:
ok 1 number(s): "128206597"
Test #20:
score: 0
Accepted
time: 6ms
memory: 11444kb
input:
2 10
output:
1410
result:
ok 1 number(s): "1410"
Test #21:
score: 0
Accepted
time: 5ms
memory: 11524kb
input:
84 16
output:
297627153
result:
ok 1 number(s): "297627153"
Test #22:
score: 0
Accepted
time: 2ms
memory: 11500kb
input:
643 800
output:
489237163
result:
ok 1 number(s): "489237163"
Test #23:
score: 0
Accepted
time: 3ms
memory: 11428kb
input:
9903 880
output:
595167333
result:
ok 1 number(s): "595167333"
Test #24:
score: 0
Accepted
time: 18ms
memory: 11440kb
input:
97446 89750
output:
410205549
result:
ok 1 number(s): "410205549"
Test #25:
score: 0
Accepted
time: 31ms
memory: 11432kb
input:
186460 646474
output:
32638530
result:
ok 1 number(s): "32638530"
Test #26:
score: 0
Accepted
time: 79ms
memory: 11372kb
input:
508940 244684
output:
598321755
result:
ok 1 number(s): "598321755"
Test #27:
score: 0
Accepted
time: 89ms
memory: 11392kb
input:
583646 557758
output:
858695621
result:
ok 1 number(s): "858695621"
Test #28:
score: 0
Accepted
time: 144ms
memory: 11460kb
input:
969610 992608
output:
256683498
result:
ok 1 number(s): "256683498"
Test #29:
score: 0
Accepted
time: 154ms
memory: 11364kb
input:
995106 996434
output:
411791999
result:
ok 1 number(s): "411791999"
Test #30:
score: 0
Accepted
time: 141ms
memory: 11500kb
input:
999961 999872
output:
61222370
result:
ok 1 number(s): "61222370"
Test #31:
score: 0
Accepted
time: 159ms
memory: 11372kb
input:
999977 999908
output:
831096762
result:
ok 1 number(s): "831096762"
Test #32:
score: 0
Accepted
time: 162ms
memory: 11412kb
input:
999992 999998
output:
562977678
result:
ok 1 number(s): "562977678"
Test #33:
score: 0
Accepted
time: 9ms
memory: 11392kb
input:
1000000 2
output:
118436113
result:
ok 1 number(s): "118436113"
Test #34:
score: 0
Accepted
time: 3ms
memory: 11456kb
input:
2 1000000
output:
298823641
result:
ok 1 number(s): "298823641"