QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#379016 | #8023. The Journey of Geor Autumn | comeintocalm# | AC ✓ | 159ms | 237912kb | C++20 | 1.1kb | 2024-04-06 15:48:56 | 2024-04-06 15:48:56 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int N = 1e7+7;
typedef long long LL;
using namespace std;
const int p = 998244353;
int fac[N], ifac[N];
LL fst(LL b, int k) {
LL res = 1;
while(k > 0) {
if(k & 1) res = res * b % p;
k >>= 1;
b = b * b % p;
} return res;
}
void init() {
fac[0] = 1;
const int M = 1e7;
for(int i = 1; i <= M; i++) fac[i] = 1ll * fac[i - 1] * i % p;
ifac[M] = fst(fac[M], p - 2);
for(int i = M - 1; i >= 0; i--) ifac[i] = 1ll * ifac[i + 1] * (i + 1) % p;
}
int inv(int x) {
return 1ll * fac[x - 1] * ifac[x] % p;
}
LL f[N], g[N];
int main() {
int n, k;
cin >> n >> k;
init();
if(n < k) cout << fac[n];
else {
for(int i = 1; i <= k; i++) {
f[i] = fac[i];
g[i] = (g[i - 1] + 1ll * f[i] * ifac[i] % p) % p;
}
for(int i = k + 1; i <= n; i++) {
f[i] = (g[i - 1] * fac[i - 1] % p) % p;
g[i] = g[i - 1] + f[i] * ifac[i] % p - f[i - k] * ifac[i - k] % p;
g[i] = (g[i] % p + p) % p;
}
cout << f[n];
}
return 0;
}
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Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 87ms
memory: 81664kb
input:
1 1
output:
1
result:
ok "1"
Test #2:
score: 0
Accepted
time: 95ms
memory: 81756kb
input:
1 2
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 93ms
memory: 81720kb
input:
1 3
output:
1
result:
ok "1"
Test #4:
score: 0
Accepted
time: 91ms
memory: 81828kb
input:
1 4
output:
1
result:
ok "1"
Test #5:
score: 0
Accepted
time: 85ms
memory: 81736kb
input:
2 1
output:
1
result:
ok "1"
Test #6:
score: 0
Accepted
time: 91ms
memory: 81784kb
input:
2 2
output:
2
result:
ok "2"
Test #7:
score: 0
Accepted
time: 77ms
memory: 81612kb
input:
2 3
output:
2
result:
ok "2"
Test #8:
score: 0
Accepted
time: 84ms
memory: 81720kb
input:
2 4
output:
2
result:
ok "2"
Test #9:
score: 0
Accepted
time: 94ms
memory: 81828kb
input:
3 1
output:
1
result:
ok "1"
Test #10:
score: 0
Accepted
time: 77ms
memory: 81608kb
input:
3 2
output:
4
result:
ok "4"
Test #11:
score: 0
Accepted
time: 83ms
memory: 81660kb
input:
3 3
output:
6
result:
ok "6"
Test #12:
score: 0
Accepted
time: 91ms
memory: 81788kb
input:
3 4
output:
6
result:
ok "6"
Test #13:
score: 0
Accepted
time: 83ms
memory: 81724kb
input:
4 1
output:
1
result:
ok "1"
Test #14:
score: 0
Accepted
time: 86ms
memory: 81612kb
input:
4 2
output:
10
result:
ok "10"
Test #15:
score: 0
Accepted
time: 81ms
memory: 81612kb
input:
4 3
output:
18
result:
ok "18"
Test #16:
score: 0
Accepted
time: 90ms
memory: 81664kb
input:
4 4
output:
24
result:
ok "24"
Test #17:
score: 0
Accepted
time: 73ms
memory: 81832kb
input:
99 50
output:
955866606
result:
ok "955866606"
Test #18:
score: 0
Accepted
time: 74ms
memory: 81660kb
input:
99 70
output:
296999003
result:
ok "296999003"
Test #19:
score: 0
Accepted
time: 86ms
memory: 81740kb
input:
1034 998
output:
637688669
result:
ok "637688669"
Test #20:
score: 0
Accepted
time: 83ms
memory: 81744kb
input:
1099 997
output:
712935289
result:
ok "712935289"
Test #21:
score: 0
Accepted
time: 76ms
memory: 81892kb
input:
10314 998
output:
224695890
result:
ok "224695890"
Test #22:
score: 0
Accepted
time: 74ms
memory: 81952kb
input:
10929 9974
output:
160291286
result:
ok "160291286"
Test #23:
score: 0
Accepted
time: 78ms
memory: 83268kb
input:
103124 99448
output:
695932649
result:
ok "695932649"
Test #24:
score: 0
Accepted
time: 76ms
memory: 83520kb
input:
109139 9937
output:
268916696
result:
ok "268916696"
Test #25:
score: 0
Accepted
time: 94ms
memory: 97944kb
input:
1031234 99238
output:
441457721
result:
ok "441457721"
Test #26:
score: 0
Accepted
time: 66ms
memory: 98812kb
input:
1091239 991237
output:
61047495
result:
ok "61047495"
Test #27:
score: 0
Accepted
time: 120ms
memory: 237852kb
input:
10000000 9982443
output:
224744113
result:
ok "224744113"
Test #28:
score: 0
Accepted
time: 159ms
memory: 237912kb
input:
9999977 5678901
output:
641748125
result:
ok "641748125"
Extra Test:
score: 0
Extra Test Passed