QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#472320 | #6417. Classical Summation Problem | lllei# | AC ✓ | 238ms | 11764kb | C++20 | 1.1kb | 2024-07-11 15:39:42 | 2024-07-11 15:39:42 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const long long mod = 998244353;
long long pw(long long t1, long long t2) {
long long tmp1 = 1, tmp2 = t1;
while (t2) {
if (t2 & 1)
tmp1 = tmp1 * tmp2 % mod;
tmp2 = tmp2 * tmp2 % mod;
t2 /= 2;
}
return tmp1;
}
int n, k;
const int maxn=1e6+5;
int fct[maxn],inv[maxn];
int c(int x,int y)
{
return fct[x]*1ll*inv[x-y]%mod*inv[y]%mod;
}
int main() {
scanf("%d%d", &n, &k);
fct[0]=inv[0]=1;
for(int i=1;i<=k;i++)fct[i]=fct[i-1]*1ll*i%mod,inv[i]=pw(fct[i],mod-2);
if (k & 1) {
printf("%d\n", pw(n, k) * 1LL * (n + 1) % mod * pw(2, mod - 2) % mod);
} else {
int ans = 0;
for (int i = 1; i < n; i++) {
ans += pw(i, k / 2) * 1LL * pw(n - i, k / 2) % mod*c(k,k/2)%mod;
ans %=mod;
}
ans = ans * 1LL * pw(pw(n,k), mod - 2)%mod;
//cout<<ans<<endl;
ans = ((n + 1) * 1LL * pw(2, mod - 2) % mod - ans * 1LL * pw(2, mod - 2) % mod + mod) % mod;
ans = ans*1LL*pw(n, k)%mod;
printf("%d\n", ans);
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5864kb
input:
3 2
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 0ms
memory: 6008kb
input:
5 3
output:
375
result:
ok 1 number(s): "375"
Test #3:
score: 0
Accepted
time: 0ms
memory: 5952kb
input:
2 2
output:
5
result:
ok 1 number(s): "5"
Test #4:
score: 0
Accepted
time: 0ms
memory: 6004kb
input:
10 9
output:
508778235
result:
ok 1 number(s): "508778235"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5952kb
input:
69 3
output:
11497815
result:
ok 1 number(s): "11497815"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5880kb
input:
994 515
output:
33689623
result:
ok 1 number(s): "33689623"
Test #7:
score: 0
Accepted
time: 2ms
memory: 5984kb
input:
4476 6182
output:
114894183
result:
ok 1 number(s): "114894183"
Test #8:
score: 0
Accepted
time: 2ms
memory: 5952kb
input:
58957 12755
output:
932388891
result:
ok 1 number(s): "932388891"
Test #9:
score: 0
Accepted
time: 22ms
memory: 6044kb
input:
218138 28238
output:
392861201
result:
ok 1 number(s): "392861201"
Test #10:
score: 0
Accepted
time: 100ms
memory: 7140kb
input:
644125 316810
output:
420621854
result:
ok 1 number(s): "420621854"
Test #11:
score: 0
Accepted
time: 124ms
memory: 10772kb
input:
612914 505428
output:
973686286
result:
ok 1 number(s): "973686286"
Test #12:
score: 0
Accepted
time: 101ms
memory: 11616kb
input:
998216 938963
output:
251335926
result:
ok 1 number(s): "251335926"
Test #13:
score: 0
Accepted
time: 111ms
memory: 11692kb
input:
990516 996933
output:
549551960
result:
ok 1 number(s): "549551960"
Test #14:
score: 0
Accepted
time: 231ms
memory: 11584kb
input:
999019 999012
output:
637189128
result:
ok 1 number(s): "637189128"
Test #15:
score: 0
Accepted
time: 236ms
memory: 11700kb
input:
999928 999950
output:
185229465
result:
ok 1 number(s): "185229465"
Test #16:
score: 0
Accepted
time: 111ms
memory: 11704kb
input:
999999 999999
output:
384164916
result:
ok 1 number(s): "384164916"
Test #17:
score: 0
Accepted
time: 229ms
memory: 11728kb
input:
999999 1000000
output:
696165930
result:
ok 1 number(s): "696165930"
Test #18:
score: 0
Accepted
time: 107ms
memory: 11624kb
input:
1000000 999999
output:
219071706
result:
ok 1 number(s): "219071706"
Test #19:
score: 0
Accepted
time: 229ms
memory: 11660kb
input:
1000000 1000000
output:
128206597
result:
ok 1 number(s): "128206597"
Test #20:
score: 0
Accepted
time: 0ms
memory: 5996kb
input:
2 10
output:
1410
result:
ok 1 number(s): "1410"
Test #21:
score: 0
Accepted
time: 0ms
memory: 5960kb
input:
84 16
output:
297627153
result:
ok 1 number(s): "297627153"
Test #22:
score: 0
Accepted
time: 1ms
memory: 6000kb
input:
643 800
output:
489237163
result:
ok 1 number(s): "489237163"
Test #23:
score: 0
Accepted
time: 1ms
memory: 5948kb
input:
9903 880
output:
595167333
result:
ok 1 number(s): "595167333"
Test #24:
score: 0
Accepted
time: 21ms
memory: 6348kb
input:
97446 89750
output:
410205549
result:
ok 1 number(s): "410205549"
Test #25:
score: 0
Accepted
time: 86ms
memory: 11060kb
input:
186460 646474
output:
32638530
result:
ok 1 number(s): "32638530"
Test #26:
score: 0
Accepted
time: 83ms
memory: 6856kb
input:
508940 244684
output:
598321755
result:
ok 1 number(s): "598321755"
Test #27:
score: 0
Accepted
time: 125ms
memory: 10548kb
input:
583646 557758
output:
858695621
result:
ok 1 number(s): "858695621"
Test #28:
score: 0
Accepted
time: 224ms
memory: 11676kb
input:
969610 992608
output:
256683498
result:
ok 1 number(s): "256683498"
Test #29:
score: 0
Accepted
time: 233ms
memory: 11688kb
input:
995106 996434
output:
411791999
result:
ok 1 number(s): "411791999"
Test #30:
score: 0
Accepted
time: 230ms
memory: 11720kb
input:
999961 999872
output:
61222370
result:
ok 1 number(s): "61222370"
Test #31:
score: 0
Accepted
time: 233ms
memory: 11764kb
input:
999977 999908
output:
831096762
result:
ok 1 number(s): "831096762"
Test #32:
score: 0
Accepted
time: 238ms
memory: 11636kb
input:
999992 999998
output:
562977678
result:
ok 1 number(s): "562977678"
Test #33:
score: 0
Accepted
time: 8ms
memory: 5952kb
input:
1000000 2
output:
118436113
result:
ok 1 number(s): "118436113"
Test #34:
score: 0
Accepted
time: 107ms
memory: 11640kb
input:
2 1000000
output:
298823641
result:
ok 1 number(s): "298823641"