Submission #1033709

#TimeUsernameProblemLanguageResultExecution timeMemory
1033709anHiepTrains (BOI24_trains)C++14
100 / 100
159 ms9492 KiB
//#pragma GCC optimize("O3,unroll-loops") //#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") #include<bits/stdc++.h> using namespace std; #define fi first #define se second #define pb push_back #define ll long long #define ii pair<int, int> #define vi vector<int> #define vll vector<ll> #define vii vector<ii> #define cd complex<double> #define ld long double #define all(x) (x).begin(), (x).end() #define iii tuple<int, int, int> const ll mod = 1e9 + 7; const ll INF = 1e18L + 5; const double PI = acos(-1); const int block = 320; const int N = 1e5; int tc, tt = 1; int n; ll d[N + 5], x[N + 5]; namespace sub1 { bool ck() { return n <= 15; } ll dp[N + 5]; void sol() { dp[1] = 1; for(int i=1; i<=n; i++) if(d[i] != 0) { for(int j=i + d[i]; j<=min(1LL*n, i + x[i] * d[i]); j+=d[i]) dp[j] = (dp[j] + dp[i]) % mod; } ll ans = 0; for(int i=1; i<=n; i++) ans = (ans + dp[i]) % mod; cout<<ans; } } namespace sub2 { bool ck() { return true; } struct node { ll i, j, d; }; ll dp[N + 5], sum[block + 100][block + 100]; vector<node> end[N + 5]; void sol() { memset(sum, 0, sizeof(sum)); dp[1] = 1; for(int i=1; i<=n; i++) { for(int j=1; j<=block; j++) dp[i] = (dp[i] + sum[j][i % j]) % mod; for(auto x: end[i]) sum[x.i][x.j] = (sum[x.i][x.j] + mod - x.d) % mod; if(d[i] == 0) continue; if(d[i] > block) { for(int j=i + d[i]; j<=min(1LL * n, i + x[i] * d[i]); j+=d[i]) dp[j] = (dp[j] + dp[i]) % mod; } else { if(x[i] == 0) continue; if(i + x[i] * d[i] <= n) end[i + x[i] * d[i]].pb({d[i], i % d[i], dp[i]}); sum[d[i]][i % d[i]] = (sum[d[i]][i % d[i]] + dp[i]) % mod; } } ll ans = 0; for(int i=1; i<=n; i++) ans = (ans + dp[i]) % mod; cout<<ans; } } void solve() { cin>>n; for(int i=1; i<=n; i++) cin>>d[i]>>x[i]; if(sub1::ck()) {sub1::sol(); return;} if(sub2::ck()) {sub2::sol(); return;} } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); for(tc=1; tc<=tt; tc++) solve(); cerr<<"\nTime elapsed: "<<1000.0*clock()/CLOCKS_PER_SEC<<" ms.\n"; return 0; }
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