QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#644957 | #6417. Classical Summation Problem | ucup-team073# | AC ✓ | 135ms | 19648kb | C++20 | 1.3kb | 2024-10-16 16:11:53 | 2024-10-16 16:11:54 |
Judging History
answer
#include <bits/stdc++.h>
#define int long long
#define pb push_back
#define pii pair<int,int>
#define st first
#define nd second
using namespace std;
inline int read(){
int x=0,f=1;char ch=getchar();
for(;!isdigit(ch);ch=getchar())f^=ch=='-';
for(;isdigit(ch);ch=getchar())x=x*10+(ch^48);
return f?x:-x;
}
mt19937 rnd(time(0));
const int mo=998244353;
inline int qpow(int x,int t){
int ret=1;
for(;t;t>>=1,x=x*x%mo)if(t&1)ret=ret*x%mo;
return ret;
}
inline void red(int &x){x>=mo?x-=mo:0;}
inline void chmin(int &x,int y){x=min(x,y);}
inline void chmax(int &x,int y){x=max(x,y);}
const int N=1e6+5;
int ans,fac[N],ifac[N],n,k,d;
inline int C(int x,int y){
if(y>x||x-y>x)return 0;
return fac[x]*ifac[y]%mo*ifac[x-y]%mo;
}
void solve(){
n=read(),k=read();
if(k&1)printf("%lld\n",(n+1)*qpow(2,mo-2)%mo*qpow(n,k)%mo);
else{
int tmp=(n+1)*qpow(2,mo-2)%mo*qpow(n,k)%mo;
for(int i=1;i<n;++i){
red(d+=C(k,k/2)*qpow(i,k/2)%mo*qpow(n-i,k/2)%mo);
}
d=d*qpow(2,mo-2)%mo;
printf("%lld\n",(tmp+mo-d)%mo);
}
return;
}
signed main(){
fac[0]=1;
for(int i=1;i<N;++i)fac[i]=fac[i-1]*i%mo;
ifac[N-1]=qpow(fac[N-1],mo-2);
for(int i=N-1;i;--i)ifac[i-1]=ifac[i]*i%mo;
for(int cas=1;cas--;)solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 8ms
memory: 19456kb
input:
3 2
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 12ms
memory: 19456kb
input:
5 3
output:
375
result:
ok 1 number(s): "375"
Test #3:
score: 0
Accepted
time: 8ms
memory: 19580kb
input:
2 2
output:
5
result:
ok 1 number(s): "5"
Test #4:
score: 0
Accepted
time: 4ms
memory: 19540kb
input:
10 9
output:
508778235
result:
ok 1 number(s): "508778235"
Test #5:
score: 0
Accepted
time: 8ms
memory: 19476kb
input:
69 3
output:
11497815
result:
ok 1 number(s): "11497815"
Test #6:
score: 0
Accepted
time: 4ms
memory: 19528kb
input:
994 515
output:
33689623
result:
ok 1 number(s): "33689623"
Test #7:
score: 0
Accepted
time: 6ms
memory: 19452kb
input:
4476 6182
output:
114894183
result:
ok 1 number(s): "114894183"
Test #8:
score: 0
Accepted
time: 8ms
memory: 19548kb
input:
58957 12755
output:
932388891
result:
ok 1 number(s): "932388891"
Test #9:
score: 0
Accepted
time: 23ms
memory: 19508kb
input:
218138 28238
output:
392861201
result:
ok 1 number(s): "392861201"
Test #10:
score: 0
Accepted
time: 77ms
memory: 19548kb
input:
644125 316810
output:
420621854
result:
ok 1 number(s): "420621854"
Test #11:
score: 0
Accepted
time: 80ms
memory: 19644kb
input:
612914 505428
output:
973686286
result:
ok 1 number(s): "973686286"
Test #12:
score: 0
Accepted
time: 8ms
memory: 19584kb
input:
998216 938963
output:
251335926
result:
ok 1 number(s): "251335926"
Test #13:
score: 0
Accepted
time: 8ms
memory: 19516kb
input:
990516 996933
output:
549551960
result:
ok 1 number(s): "549551960"
Test #14:
score: 0
Accepted
time: 127ms
memory: 19648kb
input:
999019 999012
output:
637189128
result:
ok 1 number(s): "637189128"
Test #15:
score: 0
Accepted
time: 132ms
memory: 19584kb
input:
999928 999950
output:
185229465
result:
ok 1 number(s): "185229465"
Test #16:
score: 0
Accepted
time: 13ms
memory: 19452kb
input:
999999 999999
output:
384164916
result:
ok 1 number(s): "384164916"
Test #17:
score: 0
Accepted
time: 129ms
memory: 19456kb
input:
999999 1000000
output:
696165930
result:
ok 1 number(s): "696165930"
Test #18:
score: 0
Accepted
time: 8ms
memory: 19520kb
input:
1000000 999999
output:
219071706
result:
ok 1 number(s): "219071706"
Test #19:
score: 0
Accepted
time: 122ms
memory: 19536kb
input:
1000000 1000000
output:
128206597
result:
ok 1 number(s): "128206597"
Test #20:
score: 0
Accepted
time: 13ms
memory: 19536kb
input:
2 10
output:
1410
result:
ok 1 number(s): "1410"
Test #21:
score: 0
Accepted
time: 4ms
memory: 19524kb
input:
84 16
output:
297627153
result:
ok 1 number(s): "297627153"
Test #22:
score: 0
Accepted
time: 12ms
memory: 19520kb
input:
643 800
output:
489237163
result:
ok 1 number(s): "489237163"
Test #23:
score: 0
Accepted
time: 3ms
memory: 19452kb
input:
9903 880
output:
595167333
result:
ok 1 number(s): "595167333"
Test #24:
score: 0
Accepted
time: 22ms
memory: 19460kb
input:
97446 89750
output:
410205549
result:
ok 1 number(s): "410205549"
Test #25:
score: 0
Accepted
time: 34ms
memory: 19516kb
input:
186460 646474
output:
32638530
result:
ok 1 number(s): "32638530"
Test #26:
score: 0
Accepted
time: 56ms
memory: 19496kb
input:
508940 244684
output:
598321755
result:
ok 1 number(s): "598321755"
Test #27:
score: 0
Accepted
time: 70ms
memory: 19576kb
input:
583646 557758
output:
858695621
result:
ok 1 number(s): "858695621"
Test #28:
score: 0
Accepted
time: 115ms
memory: 19472kb
input:
969610 992608
output:
256683498
result:
ok 1 number(s): "256683498"
Test #29:
score: 0
Accepted
time: 134ms
memory: 19540kb
input:
995106 996434
output:
411791999
result:
ok 1 number(s): "411791999"
Test #30:
score: 0
Accepted
time: 126ms
memory: 19532kb
input:
999961 999872
output:
61222370
result:
ok 1 number(s): "61222370"
Test #31:
score: 0
Accepted
time: 130ms
memory: 19504kb
input:
999977 999908
output:
831096762
result:
ok 1 number(s): "831096762"
Test #32:
score: 0
Accepted
time: 135ms
memory: 19576kb
input:
999992 999998
output:
562977678
result:
ok 1 number(s): "562977678"
Test #33:
score: 0
Accepted
time: 17ms
memory: 19584kb
input:
1000000 2
output:
118436113
result:
ok 1 number(s): "118436113"
Test #34:
score: 0
Accepted
time: 12ms
memory: 19504kb
input:
2 1000000
output:
298823641
result:
ok 1 number(s): "298823641"