oj.uz

Submission #54167

# Submission time Handle Problem Language Result Execution time Memory
54167 2018-07-02T14:52:11 Z aome Shortcut (IOI16_shortcut) C++17
0 / 100
 3 ms 712 KB 
#include "shortcut.h"

#include <bits/stdc++.h>

using namespace std;

const int N = 505;
const long long INF = 1e18;

int n, c, a[N];
long long f1[N][N];
long long f2[N][N];
long long res;
long long dis[N];

long long solve(int l, int r) {
	long long maxDis = 0;
	// two points outside [l, r]
	for (int i = r + 1; i < n; ++i) {
		if (l - 1 >= 0) {
			maxDis = max(maxDis, dis[i] + a[i] + f2[0][l - 1] + min(0LL, c - dis[r] + dis[l]));
		}
		if (r + 1 <= i - 1) {
			maxDis = max(maxDis, dis[i] + a[i] + f2[r + 1][i - 1]);
		}
	}
	for (int i = 1; i < l; ++i) {
		maxDis = max(maxDis, dis[i] + a[i] + f2[0][i - 1]);
	}
	// one point inside [l, r] and one point outside [l, r]
	for (int i = l; i <= r; ++i) {
		// from i to one point inside [0, l - 1]
		if (l - 1 >= 0) {
			maxDis = max(maxDis, min(dis[i], dis[r] - dis[i] + c + dis[l]) + a[i] + f2[0][l - 1]);
		}
		// from i to to one point inside [r + 1, n - 1]
		if (r + 1 < n) {
			maxDis = max(maxDis, f1[r + 1][n - 1] + a[i] + min(-dis[i], dis[i] - dis[l] + c - dis[r]));
		}
	} 
	// // two points inside [l, r]
	int ptr = l;
	for (int i = l; i <= r; ++i) {
		while (ptr < i && dis[r] - dis[l] - dis[i] + dis[ptr] + c < dis[i] - dis[ptr]) ptr++;
		if (ptr != l) maxDis = max(maxDis, a[i] + dis[r] - dis[l] - dis[i] + f1[l][ptr - 1] + c);
		if (ptr != i) maxDis = max(maxDis, a[i] + dis[i] + f2[ptr][i - 1]);
	}
	return maxDis;
}

long long find_shortcut(int _n, vector<int> l, vector<int> d, int _c) {
	n = _n, c = _c;
	for (int i = 0; i < n; ++i) a[i] = d[i];
    for (int i = 1; i < n; ++i) dis[i] = dis[i - 1] + l[i - 1];
    for (int i = 0; i < n; ++i) {
    	f1[i][i] = dis[i] + a[i];
    	f2[i][i] = -dis[i] + a[i];
    	for (int j = i + 1; j < n; ++j) {
    		f1[i][j] = max(f1[i][j - 1], dis[j] + a[j]);
    		f2[i][j] = max(f2[i][j - 1], -dis[j] + a[j]);
    	}
    }
    res = INF;
    int ptr = 0;
    long long opt = INF;
    for (int i = 1; i < n; ++i) {
    	long long tmp = solve(0, i);
    	if (opt > tmp) {
    		opt = tmp, ptr = i;
    	} 
    }
    res = min(res, opt);
    for (int i = 1; i < (n - 1); ++i) {
    	long long x = solve(i, ptr);
    	while (ptr + 1 < n) {
    		long long y = solve(i, ptr + 1);
    		if (x > y) {
    			x = y, ptr++;
    		}
    		else break;
    	}
    	res = min(res, x);
    }
    return res;
}

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB n = 4, 80 is a correct answer
2 Correct 2 ms 492 KB n = 9, 110 is a correct answer
3 Correct 2 ms 492 KB n = 4, 21 is a correct answer
4 Correct 2 ms 648 KB n = 3, 4 is a correct answer
5 Correct 2 ms 648 KB n = 2, 62 is a correct answer
6 Correct 2 ms 648 KB n = 2, 3 is a correct answer
7 Correct 2 ms 648 KB n = 3, 29 is a correct answer
8 Correct 3 ms 712 KB n = 2, 3 is a correct answer
9 Correct 2 ms 712 KB n = 2, 3 is a correct answer
10 Correct 3 ms 712 KB n = 2, 2000000001 is a correct answer
11 Correct 3 ms 712 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
14 Correct 3 ms 712 KB n = 4, 3000000001 is a correct answer
15 Correct 3 ms 712 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 712 KB n = 5, 4000000000 is a correct answer
17 Correct 2 ms 712 KB n = 10, 1000000343 is a correct answer
18 Correct 3 ms 712 KB n = 10, 3189 is a correct answer
19 Correct 2 ms 712 KB n = 10, 7000000000 is a correct answer
20 Correct 2 ms 712 KB n = 5, 12 is a correct answer
21 Correct 3 ms 712 KB n = 5, 25 is a correct answer
22 Correct 2 ms 712 KB n = 2, 122 is a correct answer
23 Correct 2 ms 712 KB n = 10, 117 is a correct answer
24 Incorrect 2 ms 712 KB n = 10, incorrect answer: jury 336 vs contestant 367
25 Halted 0 ms 0 KB -

Subtask #2
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB n = 4, 80 is a correct answer
2 Correct 2 ms 492 KB n = 9, 110 is a correct answer
3 Correct 2 ms 492 KB n = 4, 21 is a correct answer
4 Correct 2 ms 648 KB n = 3, 4 is a correct answer
5 Correct 2 ms 648 KB n = 2, 62 is a correct answer
6 Correct 2 ms 648 KB n = 2, 3 is a correct answer
7 Correct 2 ms 648 KB n = 3, 29 is a correct answer
8 Correct 3 ms 712 KB n = 2, 3 is a correct answer
9 Correct 2 ms 712 KB n = 2, 3 is a correct answer
10 Correct 3 ms 712 KB n = 2, 2000000001 is a correct answer
11 Correct 3 ms 712 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
14 Correct 3 ms 712 KB n = 4, 3000000001 is a correct answer
15 Correct 3 ms 712 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 712 KB n = 5, 4000000000 is a correct answer
17 Correct 2 ms 712 KB n = 10, 1000000343 is a correct answer
18 Correct 3 ms 712 KB n = 10, 3189 is a correct answer
19 Correct 2 ms 712 KB n = 10, 7000000000 is a correct answer
20 Correct 2 ms 712 KB n = 5, 12 is a correct answer
21 Correct 3 ms 712 KB n = 5, 25 is a correct answer
22 Correct 2 ms 712 KB n = 2, 122 is a correct answer
23 Correct 2 ms 712 KB n = 10, 117 is a correct answer
24 Incorrect 2 ms 712 KB n = 10, incorrect answer: jury 336 vs contestant 367
25 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB n = 4, 80 is a correct answer
2 Correct 2 ms 492 KB n = 9, 110 is a correct answer
3 Correct 2 ms 492 KB n = 4, 21 is a correct answer
4 Correct 2 ms 648 KB n = 3, 4 is a correct answer
5 Correct 2 ms 648 KB n = 2, 62 is a correct answer
6 Correct 2 ms 648 KB n = 2, 3 is a correct answer
7 Correct 2 ms 648 KB n = 3, 29 is a correct answer
8 Correct 3 ms 712 KB n = 2, 3 is a correct answer
9 Correct 2 ms 712 KB n = 2, 3 is a correct answer
10 Correct 3 ms 712 KB n = 2, 2000000001 is a correct answer
11 Correct 3 ms 712 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
14 Correct 3 ms 712 KB n = 4, 3000000001 is a correct answer
15 Correct 3 ms 712 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 712 KB n = 5, 4000000000 is a correct answer
17 Correct 2 ms 712 KB n = 10, 1000000343 is a correct answer
18 Correct 3 ms 712 KB n = 10, 3189 is a correct answer
19 Correct 2 ms 712 KB n = 10, 7000000000 is a correct answer
20 Correct 2 ms 712 KB n = 5, 12 is a correct answer
21 Correct 3 ms 712 KB n = 5, 25 is a correct answer
22 Correct 2 ms 712 KB n = 2, 122 is a correct answer
23 Correct 2 ms 712 KB n = 10, 117 is a correct answer
24 Incorrect 2 ms 712 KB n = 10, incorrect answer: jury 336 vs contestant 367
25 Halted 0 ms 0 KB -

Subtask #4
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB n = 4, 80 is a correct answer
2 Correct 2 ms 492 KB n = 9, 110 is a correct answer
3 Correct 2 ms 492 KB n = 4, 21 is a correct answer
4 Correct 2 ms 648 KB n = 3, 4 is a correct answer
5 Correct 2 ms 648 KB n = 2, 62 is a correct answer
6 Correct 2 ms 648 KB n = 2, 3 is a correct answer
7 Correct 2 ms 648 KB n = 3, 29 is a correct answer
8 Correct 3 ms 712 KB n = 2, 3 is a correct answer
9 Correct 2 ms 712 KB n = 2, 3 is a correct answer
10 Correct 3 ms 712 KB n = 2, 2000000001 is a correct answer
11 Correct 3 ms 712 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
14 Correct 3 ms 712 KB n = 4, 3000000001 is a correct answer
15 Correct 3 ms 712 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 712 KB n = 5, 4000000000 is a correct answer
17 Correct 2 ms 712 KB n = 10, 1000000343 is a correct answer
18 Correct 3 ms 712 KB n = 10, 3189 is a correct answer
19 Correct 2 ms 712 KB n = 10, 7000000000 is a correct answer
20 Correct 2 ms 712 KB n = 5, 12 is a correct answer
21 Correct 3 ms 712 KB n = 5, 25 is a correct answer
22 Correct 2 ms 712 KB n = 2, 122 is a correct answer
23 Correct 2 ms 712 KB n = 10, 117 is a correct answer
24 Incorrect 2 ms 712 KB n = 10, incorrect answer: jury 336 vs contestant 367
25 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB n = 4, 80 is a correct answer
2 Correct 2 ms 492 KB n = 9, 110 is a correct answer
3 Correct 2 ms 492 KB n = 4, 21 is a correct answer
4 Correct 2 ms 648 KB n = 3, 4 is a correct answer
5 Correct 2 ms 648 KB n = 2, 62 is a correct answer
6 Correct 2 ms 648 KB n = 2, 3 is a correct answer
7 Correct 2 ms 648 KB n = 3, 29 is a correct answer
8 Correct 3 ms 712 KB n = 2, 3 is a correct answer
9 Correct 2 ms 712 KB n = 2, 3 is a correct answer
10 Correct 3 ms 712 KB n = 2, 2000000001 is a correct answer
11 Correct 3 ms 712 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
14 Correct 3 ms 712 KB n = 4, 3000000001 is a correct answer
15 Correct 3 ms 712 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 712 KB n = 5, 4000000000 is a correct answer
17 Correct 2 ms 712 KB n = 10, 1000000343 is a correct answer
18 Correct 3 ms 712 KB n = 10, 3189 is a correct answer
19 Correct 2 ms 712 KB n = 10, 7000000000 is a correct answer
20 Correct 2 ms 712 KB n = 5, 12 is a correct answer
21 Correct 3 ms 712 KB n = 5, 25 is a correct answer
22 Correct 2 ms 712 KB n = 2, 122 is a correct answer
23 Correct 2 ms 712 KB n = 10, 117 is a correct answer
24 Incorrect 2 ms 712 KB n = 10, incorrect answer: jury 336 vs contestant 367
25 Halted 0 ms 0 KB -

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB n = 4, 80 is a correct answer
2 Correct 2 ms 492 KB n = 9, 110 is a correct answer
3 Correct 2 ms 492 KB n = 4, 21 is a correct answer
4 Correct 2 ms 648 KB n = 3, 4 is a correct answer
5 Correct 2 ms 648 KB n = 2, 62 is a correct answer
6 Correct 2 ms 648 KB n = 2, 3 is a correct answer
7 Correct 2 ms 648 KB n = 3, 29 is a correct answer
8 Correct 3 ms 712 KB n = 2, 3 is a correct answer
9 Correct 2 ms 712 KB n = 2, 3 is a correct answer
10 Correct 3 ms 712 KB n = 2, 2000000001 is a correct answer
11 Correct 3 ms 712 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
14 Correct 3 ms 712 KB n = 4, 3000000001 is a correct answer
15 Correct 3 ms 712 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 712 KB n = 5, 4000000000 is a correct answer
17 Correct 2 ms 712 KB n = 10, 1000000343 is a correct answer
18 Correct 3 ms 712 KB n = 10, 3189 is a correct answer
19 Correct 2 ms 712 KB n = 10, 7000000000 is a correct answer
20 Correct 2 ms 712 KB n = 5, 12 is a correct answer
21 Correct 3 ms 712 KB n = 5, 25 is a correct answer
22 Correct 2 ms 712 KB n = 2, 122 is a correct answer
23 Correct 2 ms 712 KB n = 10, 117 is a correct answer
24 Incorrect 2 ms 712 KB n = 10, incorrect answer: jury 336 vs contestant 367
25 Halted 0 ms 0 KB -

Subtask #7
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB n = 4, 80 is a correct answer
2 Correct 2 ms 492 KB n = 9, 110 is a correct answer
3 Correct 2 ms 492 KB n = 4, 21 is a correct answer
4 Correct 2 ms 648 KB n = 3, 4 is a correct answer
5 Correct 2 ms 648 KB n = 2, 62 is a correct answer
6 Correct 2 ms 648 KB n = 2, 3 is a correct answer
7 Correct 2 ms 648 KB n = 3, 29 is a correct answer
8 Correct 3 ms 712 KB n = 2, 3 is a correct answer
9 Correct 2 ms 712 KB n = 2, 3 is a correct answer
10 Correct 3 ms 712 KB n = 2, 2000000001 is a correct answer
11 Correct 3 ms 712 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
14 Correct 3 ms 712 KB n = 4, 3000000001 is a correct answer
15 Correct 3 ms 712 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 712 KB n = 5, 4000000000 is a correct answer
17 Correct 2 ms 712 KB n = 10, 1000000343 is a correct answer
18 Correct 3 ms 712 KB n = 10, 3189 is a correct answer
19 Correct 2 ms 712 KB n = 10, 7000000000 is a correct answer
20 Correct 2 ms 712 KB n = 5, 12 is a correct answer
21 Correct 3 ms 712 KB n = 5, 25 is a correct answer
22 Correct 2 ms 712 KB n = 2, 122 is a correct answer
23 Correct 2 ms 712 KB n = 10, 117 is a correct answer
24 Incorrect 2 ms 712 KB n = 10, incorrect answer: jury 336 vs contestant 367
25 Halted 0 ms 0 KB -

Subtask #8
0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB n = 4, 80 is a correct answer
2 Correct 2 ms 492 KB n = 9, 110 is a correct answer
3 Correct 2 ms 492 KB n = 4, 21 is a correct answer
4 Correct 2 ms 648 KB n = 3, 4 is a correct answer
5 Correct 2 ms 648 KB n = 2, 62 is a correct answer
6 Correct 2 ms 648 KB n = 2, 3 is a correct answer
7 Correct 2 ms 648 KB n = 3, 29 is a correct answer
8 Correct 3 ms 712 KB n = 2, 3 is a correct answer
9 Correct 2 ms 712 KB n = 2, 3 is a correct answer
10 Correct 3 ms 712 KB n = 2, 2000000001 is a correct answer
11 Correct 3 ms 712 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 712 KB n = 3, 3000000000 is a correct answer
14 Correct 3 ms 712 KB n = 4, 3000000001 is a correct answer
15 Correct 3 ms 712 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 712 KB n = 5, 4000000000 is a correct answer
17 Correct 2 ms 712 KB n = 10, 1000000343 is a correct answer
18 Correct 3 ms 712 KB n = 10, 3189 is a correct answer
19 Correct 2 ms 712 KB n = 10, 7000000000 is a correct answer
20 Correct 2 ms 712 KB n = 5, 12 is a correct answer
21 Correct 3 ms 712 KB n = 5, 25 is a correct answer
22 Correct 2 ms 712 KB n = 2, 122 is a correct answer
23 Correct 2 ms 712 KB n = 10, 117 is a correct answer
24 Incorrect 2 ms 712 KB n = 10, incorrect answer: jury 336 vs contestant 367
25 Halted 0 ms 0 KB -