Submission #1051343

#TimeUsernameProblemLanguageResultExecution timeMemory
105134312345678Žarulje (COI15_zarulje)C++17
0 / 100
101 ms24812 KiB
#include <bits/stdc++.h> using namespace std; #define ll long long const int nx=2e5+5, mod=1e9+7; ll n, q, a[nx], f[nx], inv[nx], res[nx], x; vector<ll> v[nx]; struct minsegtree { pair<pair<ll, ll>, pair<ll, ll>> d[4*nx]; pair<pair<ll, ll>, pair<ll, ll>> merge(pair<pair<ll, ll>, pair<ll, ll>> lhs, pair<pair<ll, ll>, pair<ll, ll>> rhs) { if (lhs.first<=rhs.first) { if (lhs.second<=rhs.first) return lhs; return {lhs.first, rhs.first}; } else { if (rhs.second<=lhs.first) return rhs; return {rhs.first, lhs.first}; } } void build(int l, int r, int i) { if (l==r) return d[i]={{a[l], l}, {1e18, 0}}, void(); int md=(l+r)/2; build(l, md, 2*i); build(md+1, r, 2*i+1); d[i]=merge(d[2*i], d[2*i+1]); //cout<<"here "<<l<<' '<<r<<' '<<d[i].first.first<<' '<<d[i].second.first<<'\n'; } pair<pair<ll, ll>, pair<ll, ll>> query(int l, int r, int i, int ql, int qr) { if (qr<l||r<ql) return {{1e18, 0}, {1e18, 0}}; if (ql<=l&&r<=qr) return d[i]; int md=(l+r)/2; return merge(query(l, md, 2*i, ql, qr), query(md+1, r, 2*i+1, ql, qr)); } } mn; struct segtree { ll d[4*nx]; void build(int l, int r, int i) { d[i]=1; if (l==r) return; int md=(l+r)/2; build(l, md, 2*i); build(md+1, r, 2*i+1); } void update(int l, int r, int i, int ql, int qr, ll vl) { if (qr<l||r<ql) return; if (ql<=l&&r<=qr) return d[i]=(d[i]*vl)%mod, void(); int md=(l+r)/2; update(l, md, 2*i, ql, qr, vl); update(md+1, r, 2*i+1, ql, qr, vl); } void query(int l, int r, int i) { if (l==r) return res[l]=d[i], void(); int md=(l+r)/2; d[2*i]=(d[2*i]*d[i])%mod; d[2*i+1]=(d[2*i+1]*d[i])%mod; query(l, md, 2*i); query(md+1, r, 2*i+1); } } s; ll binpow(ll x, ll y) { if (y==0) return 1; auto tmp=binpow(x, y/2); if (y%2) return ((tmp*tmp)%mod*x)%mod; else return (tmp*tmp)%mod; } ll combination(ll x, ll y) { return (((f[x+y]*inv[x])%mod)*inv[y])%mod; } int main() { cin.tie(NULL)->sync_with_stdio(false); cin>>n>>q; for (int i=1; i<=n; i++) cin>>a[i], v[a[i]].push_back(i); mn.build(1, n, 1); s.build(1, n, 1); cout<<"debug "<<mn.d[1].first.first<<' '<<mn.d[1].second.first<<'\n'; f[0]=1; for (int i=1; i<=n; i++) f[i]=(f[i-1]*i)%mod; inv[n]=binpow(f[n], mod-2); for (int i=n-1; i>=1; i--) inv[i]=(inv[i+1]*(i+1))%mod; //cout<<"debug "<<i<<' '<<inv[i]<<' '<<(inv[i]*f[i])%mod<<'\n'; for (int t=1; t<=200000; t++) { int sz=v[t].size(); if (sz<2) continue; vector<int> pref(sz), suf(sz); for (int i=0; i<sz; i++) { if (i==0||(v[t][i]-1!=v[t][i-1]&&mn.query(1, n, 1, v[t][i-1]+1, v[t][i]-1).first.first<t)) pref[i]=1; else pref[i]=pref[i-1]+1; } for (int i=sz-1; i>=0; i--) { if (i==sz-1||(v[t][i]+1!=v[t][i+1]&&mn.query(1, n, 1, v[t][i]+1, v[t][i+1]-1).first.first<t)) suf[i]=1; else suf[i]=suf[i+1]+1; } for (int i=0; i<sz-1; i++) { auto tmp=mn.query(1, n, 1, v[t][i]+1, v[t][i+1]-1); if (v[t][i]+1!=v[t][i+1]&&tmp.first.first>t) s.update(1, n, 1, v[t][i]+1, v[t][i+1]-1, combination(pref[i], suf[i+1])); else if (v[t][i]+1!=v[t][i+1]&&tmp.second.first>t) s.update(1, n, 1, tmp.first.second, tmp.first.second, combination(pref[i], suf[i+1])); } for (int i=1; i<sz-1; i++) if (mn.query(1, n, 1, v[t][i-1]+1, v[t][i+1]-1).first.first>=t) s.update(1, n, 1, v[t][i], v[t][i], combination(pref[i-1], suf[i+1])); } s.query(1, n, 1); while (q--) cin>>x, cout<<res[x]<<'\n'; }
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