제출 #773300

#제출 시각아이디문제언어결과실행 시간메모리
773300rominanafuSails (IOI07_sails)C++11
100 / 100
103 ms3924 KiB
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

struct ura {
    ll h, k;
};

ll n, tam;
ura masts[100005];
ll ST[400009];

bool cmp(const ura &a, const ura &b) {
    return a.h < b.h;
}

void actualizar(ll pos, int val, ll nodo=1, ll ini=1, ll fin=100001) {
    if (pos < ini || pos > fin)
        return;
    if (ini == fin) {
        ST[nodo] += val;
        return;
    }
    ll mid = (ini+fin) / 2;
    actualizar(pos, val, nodo*2, ini, mid);
    actualizar(pos, val, nodo*2+1, mid+1, fin);
    ST[nodo] = ST[nodo*2] + ST[nodo*2+1];
}

ll suma(ll pos, ll nodo=1, ll ini=1, ll fin=100001) {
    if (pos < ini)
        return 0;
    if (pos >= fin)
        return ST[nodo];
    ll s=0;
    ll mid = (ini + fin) / 2;
    s += suma(pos, nodo*2, ini, mid);
    s += suma(pos, nodo*2+1, mid+1, fin);
    return s;
}

ll posicion_menor(ll num, ll sum=0, int nodo=1, int ini=1, int fin=100001) {
    if (ini == fin)
        return ini;
    ll mid = (ini+fin) / 2;
    if (sum+ST[nodo*2] >= num) {
        return posicion_menor(num, sum+ST[nodo*2], nodo*2+1, mid+1, fin);
    }
    return posicion_menor(num, sum, nodo*2, ini, mid);
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> n;
    for(ll i=0; i<n; i++) {
        cin >> masts[i].h >> masts[i].k;
        tam = max(tam, masts[i].h);
    }
    sort(masts, masts+n, cmp);
    ll pos_menor, pos_igual, s;
    for(ll i=0; i<n; i++) {
        s = suma(masts[i].h - masts[i].k + 1);
        pos_menor = posicion_menor(s);
        pos_igual = posicion_menor(s+1);
        if (s != 0) {
            ///para pos_menor:
            actualizar(pos_menor, 1);
            actualizar(masts[i].h + 1, -1);
            masts[i].k -= masts[i].h + 1 - pos_menor;
        }
        ///para pos_igual:
        actualizar(pos_igual, 1);
        actualizar(pos_igual + masts[i].k, -1);
    }
    ll resp=0;
    for(ll i=0; i<=masts[n-1].h; i++) {
        s = suma(i);
        resp += (s * (s - 1)) / 2;
    }
    cout << resp;
    return 0;
}
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