Submission #1029885

#TimeUsernameProblemLanguageResultExecution timeMemory
1029885hengliaoFlooding Wall (BOI24_wall)C++17
70 / 100
5098 ms41328 KiB
#include<bits/stdc++.h> #include <chrono> #include <random> using namespace std; #define F first #define S second #define pb push_back #define vll vector<ll> #define pll pair<ll, ll> typedef long long ll; const ll mxN=5e5+5; const ll mod=1e9+7; ll pw[mxN]; struct segtree{ vll tree, lazy; ll treelen; void init(ll siz){ treelen=siz+1; while(__builtin_popcount(treelen)!=1){ treelen++; } tree.resize(2*treelen); lazy.resize(2*treelen); } void push(ll idx, ll low, ll high){ if(low!=high){ lazy[2*idx]+=lazy[idx]; lazy[2*idx+1]+=lazy[idx]; } } void check(ll idx, ll low, ll high){ tree[idx]+=lazy[idx]; push(idx, low, high); lazy[idx]=0; } void update1(ll idx, ll low, ll high, ll qlow, ll qhigh, ll val){ check(idx, low, high); if(low>=qlow && high<=qhigh){ lazy[idx]+=val; check(idx, low, high); return; } if(low>qhigh || high<qlow){ return; } ll mid=(low+high)/2; update1(2*idx, low, mid, qlow, qhigh, val); update1(2*idx+1, mid+1, high, qlow, qhigh, val); tree[idx]=max(tree[2*idx], tree[2*idx+1]); } ll getmax1(ll idx, ll low, ll high, ll qlow, ll qhigh){ check(idx, low, high); if(low>=qlow && high<=qhigh){ return tree[idx]; } if(low>qhigh || high<qlow){ return 0LL; } ll mid=(low+high)/2; return max(getmax1(2*idx, low, mid, qlow, qhigh), getmax1(2*idx+1, mid+1, high, qlow, qhigh)); } void update(ll qlow, ll qhigh, ll val){ update1(1, 0, treelen-1, qlow, qhigh, val); } ll getmax(ll qlow, ll qhigh){ return getmax1(1, 0, treelen-1, qlow, qhigh); } ll bs(ll idx, ll low, ll high, ll val){ check(idx, low, high); if(low==high){ return low; } ll mid=(low+high)/2; check(2*idx, low, mid); if(tree[2*idx]>=val){ return bs(2*idx, low, mid, val); } else{ return bs(2*idx+1, mid+1, high, val); } } }; void solve(){ ll n; cin>>n; vector<pll> a(n); for(auto &[x, y]:a){ cin>>x; } for(auto &[x, y]:a){ cin>>y; } for(auto &[x, y]:a){ if(x>y){ swap(x, y); } } vll h; for(auto &[x, y]:a){ h.pb(x); h.pb(y); } sort(h.begin(), h.end()); h.erase(unique(h.begin(), h.end()), h.end()); vll pre(n+1); vll suf(n+2); vll val(n); ll ans=0; ll pr=0; ll sum=0; ll tep=0; for(auto &cur:h){ pre[0]=1; for(ll i=0;i<n;i++){ val[i]=0; if(a[i].F<cur){ val[i]++; } if(a[i].S<cur){ val[i]++; } } pre[0]=1; for(ll i=0;i<n;i++){ pre[i+1]=pre[i]*val[i]; pre[i+1]%=mod; } suf[n+1]=1; for(ll i=n-1;i>=0;i--){ suf[i+1]=suf[i+2]*val[i]; suf[i+1]%=mod; } sum=0; for(ll i=0;i<n;i++){ tep=val[i]; tep*=pw[i]-pre[i]+mod; tep%=mod; tep*=pw[n-i-1]-suf[i+2]+mod; tep%=mod; sum+=tep; sum%=mod; } ans+=sum*(cur-pr); ans%=mod; pr=cur; } cout<<ans<<'\n'; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); pw[0]=1; for(ll i=1;i<mxN;i++){ pw[i]=pw[i-1]*2; pw[i]%=mod; } solve(); return 0; }
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