Submission #768364

#TimeUsernameProblemLanguageResultExecution timeMemory
768364Charizard2021Sails (IOI07_sails)C++17
100 / 100
71 ms3424 KiB
#include<bits/stdc++.h> using namespace std; #define IOS ios::sync_with_stdio(false);; cin.tie(NULL) void selfMax(long long& a, long long b){ a = max(a, b); } void selfMin(long long& a, long long b){ a = min(a, b); } template<typename T> istream& operator>>(istream& in, vector<T>& a) {for(auto &x : a) in >> x; return in;}; template<typename T1, typename T2> istream& operator>>(istream& in, pair<T1, T2>& x) {return in >> x.first >> x.second;} template<typename T1, typename T2> ostream& operator<<(ostream& out, const pair<T1, T2>& x) {return out << x.first << ' ' << x.second;} template<typename T> ostream& operator<<(ostream& out, vector<T>& a) {for(auto &x : a) out << x << ' '; return out;}; template<typename T> ostream& operator<<(ostream& out, vector<vector<T> >& a) {for(auto &x : a) out << x << '\n'; return out;}; template<typename T1, typename T2> ostream& operator<<(ostream& out, vector<pair<T1, T2> >& a) {for(auto &x : a) out << x << '\n'; return out;}; /* Use DSU dsu(N); */ struct DSU { vector<long long> e; DSU(long long N) { e = vector<long long>(N, -1); } // get representive component (uses path compression) long long get(long long x) { return e[x] < 0 ? x : e[x] = get(e[x]); } bool same_set(long long a, long long b) { return get(a) == get(b); } long long size(long long x) { return -e[get(x)]; } bool unite(long long x, long long y) { // union by size x = get(x), y = get(y); if (x == y) return false; if (e[x] > e[y]) swap(x, y); e[x] += e[y]; e[y] = x; return true; } }; /* Run with Bit<long long> BIT */ template <class T> class BIT { private: long long size; vector<T> bit; vector<T> arr; public: BIT(long long size) : size(size), bit(size + 1), arr(size + 1) {} void set(long long ind, long long val) { add(ind, val - arr[ind]); } void add(long long ind, long long val) { arr[ind] += val; for (; ind <= size; ind += ind & -ind) { bit[ind] += val; } } T pref_sum(long long ind) { T total = 0; for (; ind > 0; ind -= ind & -ind) { total += bit[ind]; } return total; } }; /* Change Comb for specific Seg tree probs, but run with Seg<long long> Seg; */ template<class T> struct Seg { const T ID = 1e18; T comb(T a, T b) { return min(a,b); } long long n; vector<T> seg; void init(long long _n) { n = _n; seg.assign(2*n,ID); } void pull(long long p) { seg[p] = comb(seg[2*p],seg[2*p+1]); } void upd(long long p, T val) { seg[p += n] = val; for (p /= 2; p; p /= 2) pull(p); } T query(long long l, long long r) { T ra = ID, rb = ID; for (l += n, r += n+1; l < r; l /= 2, r /= 2) { if (l&1) ra = comb(ra,seg[l++]); if (r&1) rb = comb(seg[--r],rb); } return comb(ra,rb); } }; int main(){ IOS; long long n; cin >> n; pair<long long, long long> v[1 + n]; for(long long i = 1; i <= n; i++){ cin >> v[i].first >> v[i].second; } sort(v + 1, v + n + 1); long long max_height = v[n].first; BIT<long long> Bit(100001); for(long long i = 1; i <= n; i++){ long long h = v[i].first; long long k = v[i].second; long long difference = h - k + 1; long long cur = Bit.pref_sum(difference); long long ans = -1; long long low = difference; long long high = h; while(low <= high){ long long mid = (low + high)/2; if(Bit.pref_sum(mid) >= cur){ ans = mid; low = mid + 1; } else{ high = mid - 1; } } long long ans2 = -1; long long low2 = 1; long long high2 = difference; while(low2 <= high2){ long long mid2 = (low2 + high2)/2; if(Bit.pref_sum(mid2) <= cur){ ans2 = mid2; high2 = mid2 - 1; } else{ low2 = mid2 + 1; } } Bit.add(ans + 1, 1); Bit.add(h + 1, -1); Bit.add(ans2, 1); Bit.add(ans2 + k - (h - ans), -1); } long long ans = 0; for(long long i = 1; i <= max_height; i++){ long long value = Bit.pref_sum(i); ans += value * (value - 1)/2; } cout << ans << "\n"; }
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