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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#108022 | #6417. Classical Summation Problem | whatever# | AC ✓ | 168ms | 9356kb | C++17 | 1.0kb | 2023-05-23 14:26:11 | 2023-05-23 14:26:15 |
Judging History
answer
#include <cstdio>
#include <algorithm>
const int N=1000005, MOD=998244353, iv2=MOD/2+1;
inline int mval(int x) { return x>=MOD?x-MOD:x; }
inline int fix(int x) { return mval(x+MOD); }
inline void inc(int &x, int a) { x=mval(x+a); }
inline void dec(int &x, int a) { x=fix(x-a); }
inline int qpow(int x, int p)
{ int ret=1; while(p) { if(p&1) ret=1ll*ret*x%MOD; p>>=1, x=1ll*x*x%MOD; } return ret; }
int fac[N], inv[N];
inline void init(int n)
{
fac[0]=1;
for(int i=1; i<=n; ++i) fac[i]=1ll*i*fac[i-1]%MOD;
inv[n]=qpow(fac[n], MOD-2);
for(int i=n-1; ~i; --i) inv[i]=1ll*(i+1)*inv[i+1]%MOD;
}
inline int C(int n, int m) { return 1ll*fac[n]*inv[m]%MOD*inv[n-m]%MOD; }
int n, k, ans;
int main()
{
scanf("%d%d", &n, &k);
ans=1ll*qpow(n, k)*(n+1)%MOD;
if(k&1) return printf("%d\n", 1ll*ans*iv2%MOD), 0;
init(k);
int mul=C(k, k/2);
for(int i=1; i<n; ++i)
{
dec(ans, 1ll*qpow(i, k/2)*qpow(n-i, k/2)%MOD*mul%MOD);
}
// printf("ans %d\n", ans);
printf("%d\n", 1ll*ans*iv2%MOD);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 1760kb
input:
3 2
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 1ms
memory: 1540kb
input:
5 3
output:
375
result:
ok 1 number(s): "375"
Test #3:
score: 0
Accepted
time: 0ms
memory: 1700kb
input:
2 2
output:
5
result:
ok 1 number(s): "5"
Test #4:
score: 0
Accepted
time: 1ms
memory: 1544kb
input:
10 9
output:
508778235
result:
ok 1 number(s): "508778235"
Test #5:
score: 0
Accepted
time: 1ms
memory: 1536kb
input:
69 3
output:
11497815
result:
ok 1 number(s): "11497815"
Test #6:
score: 0
Accepted
time: 1ms
memory: 1512kb
input:
994 515
output:
33689623
result:
ok 1 number(s): "33689623"
Test #7:
score: 0
Accepted
time: 0ms
memory: 1748kb
input:
4476 6182
output:
114894183
result:
ok 1 number(s): "114894183"
Test #8:
score: 0
Accepted
time: 1ms
memory: 1704kb
input:
58957 12755
output:
932388891
result:
ok 1 number(s): "932388891"
Test #9:
score: 0
Accepted
time: 22ms
memory: 1712kb
input:
218138 28238
output:
392861201
result:
ok 1 number(s): "392861201"
Test #10:
score: 0
Accepted
time: 89ms
memory: 3996kb
input:
644125 316810
output:
420621854
result:
ok 1 number(s): "420621854"
Test #11:
score: 0
Accepted
time: 99ms
memory: 5452kb
input:
612914 505428
output:
973686286
result:
ok 1 number(s): "973686286"
Test #12:
score: 0
Accepted
time: 0ms
memory: 1492kb
input:
998216 938963
output:
251335926
result:
ok 1 number(s): "251335926"
Test #13:
score: 0
Accepted
time: 1ms
memory: 1756kb
input:
990516 996933
output:
549551960
result:
ok 1 number(s): "549551960"
Test #14:
score: 0
Accepted
time: 157ms
memory: 9356kb
input:
999019 999012
output:
637189128
result:
ok 1 number(s): "637189128"
Test #15:
score: 0
Accepted
time: 160ms
memory: 9304kb
input:
999928 999950
output:
185229465
result:
ok 1 number(s): "185229465"
Test #16:
score: 0
Accepted
time: 1ms
memory: 1696kb
input:
999999 999999
output:
384164916
result:
ok 1 number(s): "384164916"
Test #17:
score: 0
Accepted
time: 165ms
memory: 9296kb
input:
999999 1000000
output:
696165930
result:
ok 1 number(s): "696165930"
Test #18:
score: 0
Accepted
time: 1ms
memory: 1748kb
input:
1000000 999999
output:
219071706
result:
ok 1 number(s): "219071706"
Test #19:
score: 0
Accepted
time: 162ms
memory: 9312kb
input:
1000000 1000000
output:
128206597
result:
ok 1 number(s): "128206597"
Test #20:
score: 0
Accepted
time: 0ms
memory: 1756kb
input:
2 10
output:
1410
result:
ok 1 number(s): "1410"
Test #21:
score: 0
Accepted
time: 1ms
memory: 1532kb
input:
84 16
output:
297627153
result:
ok 1 number(s): "297627153"
Test #22:
score: 0
Accepted
time: 1ms
memory: 1504kb
input:
643 800
output:
489237163
result:
ok 1 number(s): "489237163"
Test #23:
score: 0
Accepted
time: 2ms
memory: 1540kb
input:
9903 880
output:
595167333
result:
ok 1 number(s): "595167333"
Test #24:
score: 0
Accepted
time: 11ms
memory: 2244kb
input:
97446 89750
output:
410205549
result:
ok 1 number(s): "410205549"
Test #25:
score: 0
Accepted
time: 32ms
memory: 6548kb
input:
186460 646474
output:
32638530
result:
ok 1 number(s): "32638530"
Test #26:
score: 0
Accepted
time: 74ms
memory: 3468kb
input:
508940 244684
output:
598321755
result:
ok 1 number(s): "598321755"
Test #27:
score: 0
Accepted
time: 86ms
memory: 5876kb
input:
583646 557758
output:
858695621
result:
ok 1 number(s): "858695621"
Test #28:
score: 0
Accepted
time: 160ms
memory: 9252kb
input:
969610 992608
output:
256683498
result:
ok 1 number(s): "256683498"
Test #29:
score: 0
Accepted
time: 166ms
memory: 9292kb
input:
995106 996434
output:
411791999
result:
ok 1 number(s): "411791999"
Test #30:
score: 0
Accepted
time: 155ms
memory: 9272kb
input:
999961 999872
output:
61222370
result:
ok 1 number(s): "61222370"
Test #31:
score: 0
Accepted
time: 168ms
memory: 9300kb
input:
999977 999908
output:
831096762
result:
ok 1 number(s): "831096762"
Test #32:
score: 0
Accepted
time: 168ms
memory: 9316kb
input:
999992 999998
output:
562977678
result:
ok 1 number(s): "562977678"
Test #33:
score: 0
Accepted
time: 9ms
memory: 1732kb
input:
1000000 2
output:
118436113
result:
ok 1 number(s): "118436113"
Test #34:
score: 0
Accepted
time: 10ms
memory: 9308kb
input:
2 1000000
output:
298823641
result:
ok 1 number(s): "298823641"