oj.uz

답안 #372217

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
372217 2021-02-27T09:32:23 Z dolphingarlic Shortcut (IOI16_shortcut) C++14
0 / 100
 1 ms 364 KB 
#include "shortcut.h"

#include <bits/stdc++.h>
typedef long long ll;
using namespace std;

const ll INF = 1e13;

ll find_shortcut(int n, vector<int> l, vector<int> d, int c) {
    vector<ll> p(n, 0);
    for (int i = 1; i < n; i++) p[i] = p[i - 1] + l[i - 1];

    // Order the stations by their inequality stuff
    vector<pair<ll, int>> ord1(n), ord2(n);
    // Order by d[i] + p[i] and d[i] - p[i]
    for (int i = 0; i < n; i++) ord1[i] = {d[i] + p[i], i}, ord2[i] = {d[i] - p[i], i};
    sort(ord1.begin(), ord1.end());
    sort(ord2.begin(), ord2.end());

    // Binary search for the answer
    ll lo = 0, hi = INF;
    while (lo != hi) {
        ll mid = (lo + hi) / 2;

        vector<ll> half_plane(4, -INF);
        ll mx1 = -INF, mx2 = -INF;
        for (int i = 0, j = n - 1; i < n; i++) {
            while (~j && ord1[i].first + ord2[j].first > mid) {
                mx1 = max(mx1, d[ord2[j].second] + p[ord2[j].second]);
                mx2 = max(mx2, d[ord2[j].second] - p[ord2[j].second]);
                j--;
            }
            // Update the half planes
            half_plane[0] = max(half_plane[0], c - mid + d[ord1[i].second] + p[ord1[i].second] + mx1);
            half_plane[1] = max(half_plane[1], c - mid + d[ord1[i].second] - p[ord1[i].second] + mx1);
            half_plane[2] = max(half_plane[2], c - mid + d[ord1[i].second] + p[ord1[i].second] + mx2);
            half_plane[3] = max(half_plane[3], c - mid + d[ord1[i].second] - p[ord1[i].second] + mx2);
        }

        // Check that the half-planes have a common intersection
        bool good = false;
        // Point (x, y) is below the half-plane intersection if y < max(-x + half_plane[0], x + half_plane[1])
        // Point (x, y) is above the half-plane intersection if y > min(-x - half_plane[3], x - half_plane[2])
        for (int i = 0, lower = n - 1, upper = 0; i < n; i++) {
            while (lower >= 0 && p[lower] >= max(-p[i] + half_plane[0], p[i] + half_plane[1]))
                lower--;
            while (lower + 1 < n && p[lower + 1] < max(-p[i] + half_plane[0], p[i] + half_plane[1]))
                lower++;
            while (upper < n && p[upper] <= min(-p[i] - half_plane[3], p[i] - half_plane[2]))
                upper++;
            while (upper > 0 && p[upper - 1] > min(-p[i] - half_plane[3], p[i] - half_plane[2]))
                upper--;

            if (upper - lower > 1) {
                good = true;
                break;
            }
        }
        if (good) hi = mid;
        else lo = mid + 1;
    }
    return lo;
}

Subtask #1
0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB n = 4, 80 is a correct answer
2 Correct 1 ms 364 KB n = 9, 110 is a correct answer
3 Correct 1 ms 364 KB n = 4, 21 is a correct answer
4 Correct 1 ms 364 KB n = 3, 4 is a correct answer
5 Incorrect 1 ms 364 KB n = 2, incorrect answer: jury 62 vs contestant 72
6 Halted 0 ms 0 KB -

Subtask #2
0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB n = 4, 80 is a correct answer
2 Correct 1 ms 364 KB n = 9, 110 is a correct answer
3 Correct 1 ms 364 KB n = 4, 21 is a correct answer
4 Correct 1 ms 364 KB n = 3, 4 is a correct answer
5 Incorrect 1 ms 364 KB n = 2, incorrect answer: jury 62 vs contestant 72
6 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB n = 4, 80 is a correct answer
2 Correct 1 ms 364 KB n = 9, 110 is a correct answer
3 Correct 1 ms 364 KB n = 4, 21 is a correct answer
4 Correct 1 ms 364 KB n = 3, 4 is a correct answer
5 Incorrect 1 ms 364 KB n = 2, incorrect answer: jury 62 vs contestant 72
6 Halted 0 ms 0 KB -

Subtask #4
0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB n = 4, 80 is a correct answer
2 Correct 1 ms 364 KB n = 9, 110 is a correct answer
3 Correct 1 ms 364 KB n = 4, 21 is a correct answer
4 Correct 1 ms 364 KB n = 3, 4 is a correct answer
5 Incorrect 1 ms 364 KB n = 2, incorrect answer: jury 62 vs contestant 72
6 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB n = 4, 80 is a correct answer
2 Correct 1 ms 364 KB n = 9, 110 is a correct answer
3 Correct 1 ms 364 KB n = 4, 21 is a correct answer
4 Correct 1 ms 364 KB n = 3, 4 is a correct answer
5 Incorrect 1 ms 364 KB n = 2, incorrect answer: jury 62 vs contestant 72
6 Halted 0 ms 0 KB -

Subtask #6
0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB n = 4, 80 is a correct answer
2 Correct 1 ms 364 KB n = 9, 110 is a correct answer
3 Correct 1 ms 364 KB n = 4, 21 is a correct answer
4 Correct 1 ms 364 KB n = 3, 4 is a correct answer
5 Incorrect 1 ms 364 KB n = 2, incorrect answer: jury 62 vs contestant 72
6 Halted 0 ms 0 KB -

Subtask #7
0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB n = 4, 80 is a correct answer
2 Correct 1 ms 364 KB n = 9, 110 is a correct answer
3 Correct 1 ms 364 KB n = 4, 21 is a correct answer
4 Correct 1 ms 364 KB n = 3, 4 is a correct answer
5 Incorrect 1 ms 364 KB n = 2, incorrect answer: jury 62 vs contestant 72
6 Halted 0 ms 0 KB -

Subtask #8
0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB n = 4, 80 is a correct answer
2 Correct 1 ms 364 KB n = 9, 110 is a correct answer
3 Correct 1 ms 364 KB n = 4, 21 is a correct answer
4 Correct 1 ms 364 KB n = 3, 4 is a correct answer
5 Incorrect 1 ms 364 KB n = 2, incorrect answer: jury 62 vs contestant 72
6 Halted 0 ms 0 KB -