제출 #151684

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
151684		tri	Shortcut (IOI16_shortcut)	C++14	0 / 100	2 ms	376 KiB

shortcut

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;

#define pb push_back
#define f first
#define s second

int N;
vl x;
vi d;
ll C;

vector<pl> order, process;

namespace debug {
    const int DEBUG = false;

    template<class T1, class T2>
    void pr(const pair<T1, T2> &x);

    template<class T, size_t SZ>
    void pr(const array<T, SZ> &x);

    template<class T>
    void pr(const vector<T> &x);

    template<class T>
    void pr(const set<T> &x);

    template<class T1, class T2>
    void pr(const map<T1, T2> &x);

    template<class T>
    void pr(const T &x) { if (DEBUG) cout << x; }

    template<class T, class... Ts>
    void pr(const T &first, const Ts &... rest) { pr(first), pr(rest...); }

    template<class T1, class T2>
    void pr(const pair<T1, T2> &x) { pr("{", x.f, ", ", x.s, "}"); }

    template<class T>
    void prIn(const T &x) {
        pr("{");
        bool fst = 1;
        for (auto &a : x) {
            pr(fst ? "" : ", ", a), fst = 0;
        }
        pr("}");
    }

    template<class T, size_t SZ>
    void pr(const array<T, SZ> &x) { prIn(x); }

    template<class T>
    void pr(const vector<T> &x) { prIn(x); }

    template<class T>
    void pr(const set<T> &x) { prIn(x); }

    template<class T1, class T2>
    void pr(const map<T1, T2> &x) { prIn(x); }

    void ps() { pr("\n"), cout << flush; }

    template<class Arg, class... Args>
    void ps(const Arg &first, const Args &... rest) {
        pr(first, " ");
        ps(rest...);
    }
}
using namespace debug;


bool binSearch(ll K) {
    ll P = -2e9;
    ll Q = 2e9;
    ll R = -2e9;
    ll S = 2e9;

    ll maxP = -2e9;
    ll minM = 2e9;

    int nP = 0;
    for (pl cI: order) {
        ll cP = x[cI.s] + d[cI.s];
        ll cM = x[cI.s] - d[cI.s];

        while (nP < N && cI.f - K > process[nP].f) {
            int pI = process[nP].s;
//            ps("added", cI.s, pI);
            maxP = max(maxP, x[pI] + d[pI]);
            minM = min(minM, x[pI] - d[pI]);
            nP++;
        }

//        ps(maxP, minM);

        P = max(P, cP + maxP + C - K);
        Q = min(Q, cM + minM - C + K);
        R = max(R, cP - minM + C - K);
        S = min(S, cM - maxP - C + K);
    }

//    ps("PQRS", P, Q, R, S);

    int bPt = 0;

    for (int i = 0; i < N; i++) {
        ll aBnd = min(Q - x[i], x[i] - R);
        ll bBnd = max(P - x[i], x[i] - S);
        while (bPt + 1 < N && x[bPt + 1] < bBnd) {
            bPt++;
        }
        while (bPt >= 0 && x[bPt] >= bBnd) {
            bPt--;
        }

//        ps("in", aBnd, bBnd, bPt);

        if (bPt + 1 < N && x[bPt + 1] <= aBnd) {
//            ps(i, bPt);
            return true;
        }
    }
    return false;
}

ll find_shortcut(int iN, vi len, vi iD, int iC) {
    N = iN;
    x.resize(N, 0);
    d = iD;
    C = iC;

    x[0] = 0;
    for (int i = 0; i < N - 1; i++) {
        x[i + 1] = x[i] + len[i];
    }

    for (int i = 0; i < N; i++) {
        order.pb({x[i] + d[i], i});
        process.pb({x[i] - d[i], i});
    }

    sort(order.begin(), order.end());
    sort(process.begin(), process.end());

    ll lo = 0;
    ll hi = 2e15;

//    ps(x);
//    ps(C);
//    ps(binSearch(4));

//    ps("finnnnnnnnnn");

    while (lo != hi) {
        ll mid = (lo + hi) / 2;
        if (binSearch(mid)) {
            hi = mid;
        } else {
            lo = mid + 1;
        }
    }
    return lo;
}

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