Submission #995503

#TimeUsernameProblemLanguageResultExecution timeMemory
99550312345678Trains (BOI24_trains)C++17
100 / 100
122 ms5712 KiB
#include <bits/stdc++.h>

using namespace std;

const int nx=1e5+5, mod=1e9+7, kx=255;

int n, d[nx], x[nx], qs[kx][kx], dp[nx], res, k=250;
vector<int> rem[nx];

void add(int idx)
{
    if (d[idx]==0||x[idx]==0) return;
    if (d[idx]>k)
    {
        for (int i=idx+d[idx], j=0; j<x[idx]&&i<=n; j++, i+=d[idx]) dp[i]=(dp[i]+dp[idx])%mod;
    }
    else
    {
        qs[d[idx]][idx%d[idx]]=(qs[d[idx]][idx%d[idx]]+dp[idx])%mod;
        if (idx+((long long)x[idx])*d[idx]<=n) rem[idx+((long long)x[idx])*d[idx]].push_back(idx); 
    }
}

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n;
    for (int i=1; i<=n; i++) cin>>d[i]>>x[i];
    dp[1]=1;
    add(1);
    for (int i=2; i<=n; i++)
    {
        for (int j=1; j<=k; j++) dp[i]=(dp[i]+qs[j][i%j])%mod;
        add(i);
        for (auto idx:rem[i]) qs[d[idx]][i%d[idx]]=((qs[d[idx]][i%d[idx]]-dp[idx])%mod+mod)%mod;
    }
    for (int i=1; i<=n; i++) res=(res+dp[i])%mod;
    cout<<res;
}
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