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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#205807 | #6637. Perfect Strings | Geospiza# | WA | 184ms | 160176kb | C++14 | 1.0kb | 2023-10-07 17:28:01 | 2023-10-07 17:28:02 |
Judging History
answer
#include <bits/stdc++.h>
#define ll int
#define LL long long
#define Ma 20000005
#define mod 1000000007
#define N 1005
#define pb push_back
#define ls p<<1
#define rs p<<1|1
using namespace std;
ll mul[Ma],pre[Ma];
ll n,k;
ll po(ll p,ll x=mod-2)
{
ll sum=1;
while (x)
{
if (x&1) sum=1ll*sum*p%mod;
p=1ll*p*p%mod;
x>>=1;
}
return sum;
}
void pri()
{
mul[0]=1;
for (ll i=1;i<Ma;i++)
mul[i]=1ll*mul[i-1]*i%mod;
pre[Ma-1]=po(mul[Ma-1]);
for (ll i=Ma-2;i>=0;i--)
pre[i]=1ll*pre[i+1]*(i+1)%mod;
return;
}
ll C(ll x,ll y)
{
if (x<0||y<0||x>y) return 0;
return 1ll*mul[y]*pre[x]%mod*pre[y-x]%mod;
}
void sol()
{
cin>>n>>k;
if (k==1)
{
printf("1\n");
return;
}
ll ans=0,l=1,r=po(k-1,n),inv=po(k-1);
for (ll i=1;i<=n;i++)
{
l=1ll*l*k%mod;
r=1ll*r*inv%mod;
ans=(ans+1ll*l*r%mod*C((i-1)*2,(n-1)*2)%mod)%mod;
}
printf("%d\n",ans);
}
int main()
{
pri();
ios::sync_with_stdio(0); cin.tie(0);
ll tt;
cin>>tt;
while (tt--)
sol();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 173ms
memory: 160176kb
input:
2 3 1 2 2
output:
1 6
result:
ok 2 number(s): "1 6"
Test #2:
score: -100
Wrong Answer
time: 184ms
memory: 160068kb
input:
100000 1 1 4 1 5 5 3 5 1 2 5 3 1 1 3 3 5 2 2 1 4 1 5 5 2 3 4 1 3 3 2 5 3 2 4 3 4 4 3 5 3 1 5 2 2 2 4 2 5 4 1 2 3 1 4 5 2 5 5 3 1 5 5 2 3 2 5 2 4 1 1 3 3 2 4 5 2 1 4 1 2 2 1 1 3 5 4 5 2 3 3 5 2 5 2 4 5 4 2 3 1 1 2 1 4 4 1 5 5 4 1 3 5 4 4 5 1 3 1 1 3 3 2 4 2 4 2 1 5 5 1 3 2 3 4 1 4 3 2 4 2 4 4 2 1 1 1...
output:
1 1 259205 805 2 14403 1 147 1154 1 1 259205 15 1 147 45 34 1455 5404 805 1 1154 6 198 75268 2 1 14445 45 14403 5 1154 34 1154 1 3 34 14445 1 1 6 1 805 14445 15 805 45 28 75268 15 1 1 5404 5 75268 3 75268 14445 3 1 147 28 28 1 259205 3 15 1 1455 28 28 198 1 1 259205 15 5404 3 1 2 15 147 5404 75268 2...
result:
wrong answer 3rd numbers differ - expected: '71445', found: '259205'