QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#121579 | #6417. Classical Summation Problem | SolitaryDream# | AC ✓ | 221ms | 15532kb | C++20 | 1.2kb | 2023-07-08 14:53:57 | 2023-07-08 14:54:01 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int N = 1e6 + 10;
const int p = 998244353;
const int inv2 = (p + 1) >> 1;
int n, m, fac[N], finv[N], inv[N];
inline int Qpow(int x, int y = p - 2) {
int ans = 1;
for (; y; y >>= 1, x = 1ll * x * x % p)
if (y & 1) ans = 1ll * ans * x % p;
return ans;
}
inline int C(int x, int y) {
if (x < 0 || x < y) return 0;
return 1ll * fac[x] * finv[y] % p * finv[x - y] % p;
}
int main() {
fac[0] = 1; for (int i = 1; i < N; ++i) fac[i] = 1ll * fac[i - 1] * i % p;
inv[0] = inv[1] = 1; for (int i = 2; i < N; ++i) inv[i] = 1ll * inv[p % i] * (p - p / i) % p;
finv[0] = 1; for (int i = 1; i < N; ++i) finv[i] = 1ll * finv[i - 1] * inv[i] % p;
scanf("%d%d", &n, &m);
int ans = 1ll * Qpow(n, m) * (n + 1) % p * inv2 % p;
if (m % 2 == 0) {
int u = m / 2;
int sm = 0;
int mid = 1ll * (n + 1) * inv2 % p;
for (int i = 1; i <= n; ++i) {
sm = (sm + 1ll * (i - mid) * (Qpow(i, u) - Qpow(i - 1, u)) % p * Qpow(n - i, u)) % p;
}
ans = (ans + 1ll * C(m, u) * sm) % p;
if (ans < 0) ans += p;
}
printf("%d\n", ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 11ms
memory: 15284kb
input:
3 2
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 10ms
memory: 15336kb
input:
5 3
output:
375
result:
ok 1 number(s): "375"
Test #3:
score: 0
Accepted
time: 15ms
memory: 15292kb
input:
2 2
output:
5
result:
ok 1 number(s): "5"
Test #4:
score: 0
Accepted
time: 16ms
memory: 15300kb
input:
10 9
output:
508778235
result:
ok 1 number(s): "508778235"
Test #5:
score: 0
Accepted
time: 12ms
memory: 15524kb
input:
69 3
output:
11497815
result:
ok 1 number(s): "11497815"
Test #6:
score: 0
Accepted
time: 10ms
memory: 15344kb
input:
994 515
output:
33689623
result:
ok 1 number(s): "33689623"
Test #7:
score: 0
Accepted
time: 16ms
memory: 15340kb
input:
4476 6182
output:
114894183
result:
ok 1 number(s): "114894183"
Test #8:
score: 0
Accepted
time: 11ms
memory: 15332kb
input:
58957 12755
output:
932388891
result:
ok 1 number(s): "932388891"
Test #9:
score: 0
Accepted
time: 47ms
memory: 15312kb
input:
218138 28238
output:
392861201
result:
ok 1 number(s): "392861201"
Test #10:
score: 0
Accepted
time: 128ms
memory: 15388kb
input:
644125 316810
output:
420621854
result:
ok 1 number(s): "420621854"
Test #11:
score: 0
Accepted
time: 130ms
memory: 15532kb
input:
612914 505428
output:
973686286
result:
ok 1 number(s): "973686286"
Test #12:
score: 0
Accepted
time: 12ms
memory: 15520kb
input:
998216 938963
output:
251335926
result:
ok 1 number(s): "251335926"
Test #13:
score: 0
Accepted
time: 12ms
memory: 15508kb
input:
990516 996933
output:
549551960
result:
ok 1 number(s): "549551960"
Test #14:
score: 0
Accepted
time: 217ms
memory: 15332kb
input:
999019 999012
output:
637189128
result:
ok 1 number(s): "637189128"
Test #15:
score: 0
Accepted
time: 221ms
memory: 15332kb
input:
999928 999950
output:
185229465
result:
ok 1 number(s): "185229465"
Test #16:
score: 0
Accepted
time: 11ms
memory: 15332kb
input:
999999 999999
output:
384164916
result:
ok 1 number(s): "384164916"
Test #17:
score: 0
Accepted
time: 213ms
memory: 15316kb
input:
999999 1000000
output:
696165930
result:
ok 1 number(s): "696165930"
Test #18:
score: 0
Accepted
time: 16ms
memory: 15392kb
input:
1000000 999999
output:
219071706
result:
ok 1 number(s): "219071706"
Test #19:
score: 0
Accepted
time: 210ms
memory: 15392kb
input:
1000000 1000000
output:
128206597
result:
ok 1 number(s): "128206597"
Test #20:
score: 0
Accepted
time: 8ms
memory: 15280kb
input:
2 10
output:
1410
result:
ok 1 number(s): "1410"
Test #21:
score: 0
Accepted
time: 15ms
memory: 15288kb
input:
84 16
output:
297627153
result:
ok 1 number(s): "297627153"
Test #22:
score: 0
Accepted
time: 15ms
memory: 15508kb
input:
643 800
output:
489237163
result:
ok 1 number(s): "489237163"
Test #23:
score: 0
Accepted
time: 12ms
memory: 15516kb
input:
9903 880
output:
595167333
result:
ok 1 number(s): "595167333"
Test #24:
score: 0
Accepted
time: 27ms
memory: 15284kb
input:
97446 89750
output:
410205549
result:
ok 1 number(s): "410205549"
Test #25:
score: 0
Accepted
time: 49ms
memory: 15332kb
input:
186460 646474
output:
32638530
result:
ok 1 number(s): "32638530"
Test #26:
score: 0
Accepted
time: 101ms
memory: 15288kb
input:
508940 244684
output:
598321755
result:
ok 1 number(s): "598321755"
Test #27:
score: 0
Accepted
time: 120ms
memory: 15332kb
input:
583646 557758
output:
858695621
result:
ok 1 number(s): "858695621"
Test #28:
score: 0
Accepted
time: 211ms
memory: 15284kb
input:
969610 992608
output:
256683498
result:
ok 1 number(s): "256683498"
Test #29:
score: 0
Accepted
time: 220ms
memory: 15296kb
input:
995106 996434
output:
411791999
result:
ok 1 number(s): "411791999"
Test #30:
score: 0
Accepted
time: 215ms
memory: 15344kb
input:
999961 999872
output:
61222370
result:
ok 1 number(s): "61222370"
Test #31:
score: 0
Accepted
time: 218ms
memory: 15392kb
input:
999977 999908
output:
831096762
result:
ok 1 number(s): "831096762"
Test #32:
score: 0
Accepted
time: 218ms
memory: 15240kb
input:
999992 999998
output:
562977678
result:
ok 1 number(s): "562977678"
Test #33:
score: 0
Accepted
time: 24ms
memory: 15332kb
input:
1000000 2
output:
118436113
result:
ok 1 number(s): "118436113"
Test #34:
score: 0
Accepted
time: 15ms
memory: 15396kb
input:
2 1000000
output:
298823641
result:
ok 1 number(s): "298823641"