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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#786498 | #8717. 骰子 | Kanate | RE | 1ms | 3560kb | C++17 | 2.0kb | 2024-11-26 21:49:37 | 2024-11-26 21:49:39 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int mod = 1e9 + 7 ;
const int N = 1505;
const int M = 205;
int n , m , q;
ll t[N][205];
ll *r[N];
int cnt[N];
ll ans[205];
ll qpow(ll a,ll b){
ll ans = 1;
for(;b;b>>=1,a=a*a%mod) if(b&1) ans = ans * a %mod;
return ans;
}
ll* inv(int n,ll *a){
ll *b;
b = (ll*)malloc(sizeof(ll)*M);
memset(b,0,sizeof(ll)*M);
ll inv = qpow(a[0],mod-2);
b[0] = inv;
for(int i=1;i<=n;i++){
for(int j=1;j<=i;j++)
b[i] = (b[i] - a[j]*b[i-j] + mod) % mod;
b[i] = b[i] * inv % mod;
}
return b;
}
ll tmp[M],sum[N];
void mul(ll *a,ll *b){
memset(tmp,0,sizeof tmp);
for(int i=0;i<=200;i++)
for(int j=0;j<=200-i;j++)
tmp[i+j] = (tmp[i+j] + a[i] * b[j] %mod) % mod;
for(int i=0;i<=200;i++) a[i] = tmp[i];
}
/*
3 3 3
4 3 2 1
0 1 0 1000000007
0 500000004 0 500000004
0 0 500000004 500000004
1 1
1 2
1 3
*/
int main(){
ios::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
cin >> n >> m >> q;
t[0][0] = 1;
for(int i=0;i<=m;i++) cin >> sum[i];
for(int i=1;i<=n;i++){
for(int j=0;j<=m;j++) cin >> t[i][j];
while(cnt[i]<=m){
if((t[i][cnt[i]]%=mod)!=0) break;
cnt[i]++;
}
for(int j=0;j<=m-cnt[i];j++)
t[i][j] = t[i][j+cnt[i]];
for(int j=m-cnt[j]+1;j<=m;j++)
t[i][j] = 0 ;
if(cnt[i] == m+1) t[i][0] = 1;
if(i!=1){
mul(t[i],t[i-1]);
r[i] = inv(200,t[i]);
}
cnt[i] += cnt[i-1];
}
while(q-->0){
int L,R ;
cin >> L >> R;
for(int i=0;i<=m;i++) ans[i] = t[R][i];
int k = cnt[R] - cnt[L-1];
if(L!=1) mul(ans,r[L-1]);
ll ANS = 0 ;
for(int i=k;i<=m;i++)
ANS =(ANS + ans[i-k] * sum[i] %mod) %mod;
cout << ANS << endl;
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3560kb
input:
3 3 3 4 3 2 1 0 1 0 1000000007 0 500000004 0 500000004 0 0 500000004 500000004 1 1 1 2 1 3
output:
3 1 0
result:
ok 3 number(s): "3 1 0"
Test #2:
score: -100
Runtime Error
input:
3 3 6 4 3 2 1 1000000007 0 1 0 1000000007 1 0 0 1000000007 0 1 0 1 1 1 2 1 3 2 2 2 3 3 3
output:
2 1 0