QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#156755 | #6417. Classical Summation Problem | BUET_POTATOES# | AC ✓ | 125ms | 3744kb | C++20 | 1.1kb | 2023-09-02 14:13:33 | 2023-09-02 14:52:40 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll = long long int;
const int mod = 998244353;
ll modexpo(ll x, ll n){
ll res = 1;
while(n){
if(n&1) res = res * x % mod;
x = x * x % mod;
n >>= 1;
}
return res;
}
int main(){
ios::sync_with_stdio(false); cin.tie(0);
int n, k;
cin>>n>>k;
ll ans = modexpo(n, k);
ll temp = (n-1) * modexpo(n, k) % mod;
ll inv2 = modexpo(2, mod-2);
if(k % 2 == 1){
ans += temp * inv2;
ans %= mod;
cout<<ans<<"\n";
return 0;
}
ll kfac = 1;
for(int i = 1; i<=k; i++) kfac = kfac * i % mod;
ll k2fac = 1;
for(int i = 1; i<=k/2; i++) k2fac = k2fac * i % mod;
ll temp2 = 0;
for(int i = 1; i<=n-1; i++){
temp2 += modexpo(i, k/2) * modexpo(n-i, k/2);
temp2 %= mod;
}
temp2 = temp2 * kfac % mod;
temp2 = temp2 * modexpo(k2fac, 2*(mod-2)) % mod;
temp = temp - temp2;
if(temp < 0) temp += mod;
ans += temp * inv2;
ans %= mod;
cout<<ans<<"\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3624kb
input:
3 2
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3740kb
input:
5 3
output:
375
result:
ok 1 number(s): "375"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3692kb
input:
2 2
output:
5
result:
ok 1 number(s): "5"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
10 9
output:
508778235
result:
ok 1 number(s): "508778235"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3624kb
input:
69 3
output:
11497815
result:
ok 1 number(s): "11497815"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
994 515
output:
33689623
result:
ok 1 number(s): "33689623"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
4476 6182
output:
114894183
result:
ok 1 number(s): "114894183"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3672kb
input:
58957 12755
output:
932388891
result:
ok 1 number(s): "932388891"
Test #9:
score: 0
Accepted
time: 15ms
memory: 3676kb
input:
218138 28238
output:
392861201
result:
ok 1 number(s): "392861201"
Test #10:
score: 0
Accepted
time: 66ms
memory: 3688kb
input:
644125 316810
output:
420621854
result:
ok 1 number(s): "420621854"
Test #11:
score: 0
Accepted
time: 70ms
memory: 3644kb
input:
612914 505428
output:
973686286
result:
ok 1 number(s): "973686286"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3692kb
input:
998216 938963
output:
251335926
result:
ok 1 number(s): "251335926"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
990516 996933
output:
549551960
result:
ok 1 number(s): "549551960"
Test #14:
score: 0
Accepted
time: 120ms
memory: 3624kb
input:
999019 999012
output:
637189128
result:
ok 1 number(s): "637189128"
Test #15:
score: 0
Accepted
time: 122ms
memory: 3692kb
input:
999928 999950
output:
185229465
result:
ok 1 number(s): "185229465"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3680kb
input:
999999 999999
output:
384164916
result:
ok 1 number(s): "384164916"
Test #17:
score: 0
Accepted
time: 114ms
memory: 3660kb
input:
999999 1000000
output:
696165930
result:
ok 1 number(s): "696165930"
Test #18:
score: 0
Accepted
time: 1ms
memory: 3740kb
input:
1000000 999999
output:
219071706
result:
ok 1 number(s): "219071706"
Test #19:
score: 0
Accepted
time: 114ms
memory: 3620kb
input:
1000000 1000000
output:
128206597
result:
ok 1 number(s): "128206597"
Test #20:
score: 0
Accepted
time: 1ms
memory: 3688kb
input:
2 10
output:
1410
result:
ok 1 number(s): "1410"
Test #21:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
84 16
output:
297627153
result:
ok 1 number(s): "297627153"
Test #22:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
643 800
output:
489237163
result:
ok 1 number(s): "489237163"
Test #23:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
9903 880
output:
595167333
result:
ok 1 number(s): "595167333"
Test #24:
score: 0
Accepted
time: 7ms
memory: 3744kb
input:
97446 89750
output:
410205549
result:
ok 1 number(s): "410205549"
Test #25:
score: 0
Accepted
time: 21ms
memory: 3680kb
input:
186460 646474
output:
32638530
result:
ok 1 number(s): "32638530"
Test #26:
score: 0
Accepted
time: 54ms
memory: 3688kb
input:
508940 244684
output:
598321755
result:
ok 1 number(s): "598321755"
Test #27:
score: 0
Accepted
time: 59ms
memory: 3692kb
input:
583646 557758
output:
858695621
result:
ok 1 number(s): "858695621"
Test #28:
score: 0
Accepted
time: 112ms
memory: 3692kb
input:
969610 992608
output:
256683498
result:
ok 1 number(s): "256683498"
Test #29:
score: 0
Accepted
time: 118ms
memory: 3616kb
input:
995106 996434
output:
411791999
result:
ok 1 number(s): "411791999"
Test #30:
score: 0
Accepted
time: 115ms
memory: 3672kb
input:
999961 999872
output:
61222370
result:
ok 1 number(s): "61222370"
Test #31:
score: 0
Accepted
time: 120ms
memory: 3672kb
input:
999977 999908
output:
831096762
result:
ok 1 number(s): "831096762"
Test #32:
score: 0
Accepted
time: 125ms
memory: 3680kb
input:
999992 999998
output:
562977678
result:
ok 1 number(s): "562977678"
Test #33:
score: 0
Accepted
time: 5ms
memory: 3668kb
input:
1000000 2
output:
118436113
result:
ok 1 number(s): "118436113"
Test #34:
score: 0
Accepted
time: 7ms
memory: 3608kb
input:
2 1000000
output:
298823641
result:
ok 1 number(s): "298823641"