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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#393299 | #6736. Alice and Bob | PHarr# | AC ✓ | 628ms | 81860kb | C++20 | 768b | 2024-04-18 14:15:10 | 2024-04-18 14:15:10 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int N = 1e7 + 7;
const ll P = 998244353;
ll fac[N];
ll qkm(ll a,ll b){
ll res = 1;
while (b){
if (b & 1) res = res * a % P;
a = a * a % P;
b >>= 1;
}
return res;
}
int n;
ll A(int x,int y){
if (y > x) return 0;
return fac[x] * qkm(fac[x - y],P - 2) % P;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
ll ans = 0;
fac[0] = 1;
for (int i = 1;i <= n;i++){
fac[i] = fac[i - 1] * i % P;
}
ans = fac[n];
for (int x = 1;x <= n;x++){
ans = ( ans - A(n-x,x-1) * fac[n-x] % P + P )% P;
}
cout << ((fac[n] - ans) % P + P) % P;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3648kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3700kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 1ms
memory: 3704kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3592kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 83ms
memory: 14784kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 462ms
memory: 62868kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 499ms
memory: 67288kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 384ms
memory: 51560kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 226ms
memory: 31180kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 430ms
memory: 58100kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 172ms
memory: 26412kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 620ms
memory: 81756kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 626ms
memory: 81860kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 628ms
memory: 81776kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"