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Submission #1116890

# Submission time Handle Problem Language Result Execution time Memory
1116890 2024-11-22T14:15:19 Z SalihSahin Shortcut (IOI16_shortcut) C++14
0 / 100
 1 ms 504 KB 
#include <bits/stdc++.h>
#define pb push_back
using namespace std;
#include "shortcut.h"
 
long long inf = 1e16;
 
 
long long find_shortcut(int n, vector<int> l, vector<int> d, int c){
    vector<long long> pre(n);
    for(int i = 0; i < n-1; i++){
        pre[i+1] = pre[i] + l[i];
    }
    vector<long long> lfar(n), rfar(n);
    lfar[0] = d[0];
    for(int i = 1; i < n; i++){
        if(d[i] > lfar[i-1] + l[i-1]) lfar[i] = d[i];
        else lfar[i] = lfar[i-1] + l[i-1];
    }
    rfar[n-1] = d[n-1];
    for(int i = n-2; i >= 0; i--){
        if(d[i] > rfar[i+1] + l[i]) rfar[i] = d[i];
        else rfar[i] = rfar[i+1] + l[i];
    }
 
    vector<long long> precalcl(n), precalcr(n);
    for(int i = 1; i < n; i++){
        precalcl[i] = max(precalcl[i-1], (long long)(lfar[i-1] + l[i-1] + d[i]));
    }
    for(int i = n-2; i >= 0; i--){
        precalcr[i] = max(precalcr[i+1], (long long)(rfar[i+1] + l[i] + d[i]));
    }
 
    long long ans;
    long long withoutc = 0;
    for(int i = 0; i < n-1; i++){
        withoutc = max(withoutc, lfar[i] + rfar[i+1] + l[i]);
    }
    ans = withoutc;

    int L = 0, R = n-1;
    while(L < R){
        int l = (L + R)/2;

        long long maxla = precalcl[l];
 
        int l2 = l+1, r2 = n-1;
        while(l2 < r2){
            int r = (l2 + r2)/2;
            long long dis1 = 0;
            dis1 = lfar[l] + rfar[r] + c; // L-R
            dis1 = max(dis1, precalcr[r]); // R-R
            long long clen = pre[r] - pre[l] + c;
            for(int j = l; j < r; j++){
                dis1 = max(dis1, rfar[r] + (long long)d[j] + min(pre[r] - pre[j], clen - (pre[r] - pre[j])));
            } // R-M

            long long dis3 = 0;
            for(int j = l+1; j <= r; j++){
                dis3 = max(dis3, lfar[l] + (long long)d[j] + min(pre[j] - pre[l], clen - (pre[j] - pre[l])));
            } // L-M

            long long dis2 = 0;
            for(int j = l+1; j < r; j++){ // M-M
                for(int j2 = j+1; j2 < r; j2++){
                    dis2 = max(dis2, min(pre[j2] - pre[j], clen - (pre[j2] - pre[j])) + (long long)d[j] + (long long)d[j2]);
                }
            }

            ans = min(ans, max({dis1, dis2, dis3, maxla}));
            if(dis1 < max(dis2, dis3)) r2 = r;
            else l2 = r + 1;
        }

        int r = l2;

        long long dis1 = 0;
        dis1 = lfar[l] + rfar[r] + c; // L-R
        dis1 = max(dis1, precalcr[r]); // R-R
        long long clen = pre[r] - pre[l] + c;
        for(int j = l; j < r; j++){
            dis1 = max(dis1, rfar[r] + (long long)d[j] + min(pre[r] - pre[j], clen - (pre[r] - pre[j])));
        } // R-M

        long long dis3 = 0;
        for(int j = l+1; j <= r; j++){
            dis3 = max(dis3, lfar[l] + (long long)d[j] + min(pre[j] - pre[l], clen - (pre[j] - pre[l])));
        } // L-M

        long long dis2 = 0;
        for(int j = l+1; j < r; j++){ // M-M
            for(int j2 = j+1; j2 < r; j2++){
                dis2 = max(dis2, min(pre[j2] - pre[j], clen - (pre[j2] - pre[j])) + (long long)d[j] + (long long)d[j2]);
            }
        }
        ans = min(ans, max({dis1, dis2, dis3, maxla}));

        if(max(dis3, maxla) > max(dis1, dis2)) R = l;
        else L = l+1;
    }

    for(int l = L; l <= L; l++){
        long long maxla = precalcl[l];
 
        int l2 = l+1, r2 = n-1;
        while(l2 < r2){
            int r = (l2 + r2)/2;
            long long dis1 = 0;
            dis1 = lfar[l] + rfar[r] + c; // L-R
            dis1 = max(dis1, precalcr[r]); // R-R
            long long clen = pre[r] - pre[l] + c;
            for(int j = l; j < r; j++){
                dis1 = max(dis1, rfar[r] + (long long)d[j] + min(pre[r] - pre[j], clen - (pre[r] - pre[j])));
            } // R-M

            long long dis3 = 0;
            for(int j = l+1; j <= r; j++){
                dis3 = max(dis3, lfar[l] + (long long)d[j] + min(pre[j] - pre[l], clen - (pre[j] - pre[l])));
            } // L-M

            long long dis2 = 0;
            for(int j = l+1; j < r; j++){ // M-M
                for(int j2 = j+1; j2 < r; j2++){
                    dis2 = max(dis2, min(pre[j2] - pre[j], clen - (pre[j2] - pre[j])) + (long long)d[j] + (long long)d[j2]);
                }
            }

            ans = min(ans, max({dis1, dis2, dis3, maxla}));
            if(dis1 < max(dis2, dis3)) r2 = r;
            else l2 = r + 1;
        }

        int r = l2;

        long long dis1 = 0;
        dis1 = lfar[l] + rfar[r] + c; // L-R
        dis1 = max(dis1, precalcr[r]); // R-R
        long long clen = pre[r] - pre[l] + c;
        for(int j = l; j < r; j++){
            dis1 = max(dis1, rfar[r] + (long long)d[j] + min(pre[r] - pre[j], clen - (pre[r] - pre[j])));
        } // R-M

        long long dis3 = 0;
        for(int j = l+1; j <= r; j++){
            dis3 = max(dis3, lfar[l] + (long long)d[j] + min(pre[j] - pre[l], clen - (pre[j] - pre[l])));
        } // L-M

        long long dis2 = 0;
        for(int j = l+1; j < r; j++){ // M-M
            for(int j2 = j+1; j2 < r; j2++){
                dis2 = max(dis2, min(pre[j2] - pre[j], clen - (pre[j2] - pre[j])) + (long long)d[j] + (long long)d[j2]);
            }
        }
        ans = min(ans, max({dis1, dis2, dis3, maxla}));
    }

 
    return ans;
}

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB n = 4, 80 is a correct answer
2 Correct 1 ms 504 KB n = 9, 110 is a correct answer
3 Correct 1 ms 336 KB n = 4, 21 is a correct answer
4 Correct 1 ms 336 KB n = 3, 4 is a correct answer
5 Correct 1 ms 336 KB n = 2, 62 is a correct answer
6 Correct 1 ms 336 KB n = 2, 3 is a correct answer
7 Correct 1 ms 336 KB n = 3, 29 is a correct answer
8 Correct 1 ms 336 KB n = 2, 3 is a correct answer
9 Correct 1 ms 336 KB n = 2, 3 is a correct answer
10 Correct 1 ms 336 KB n = 2, 2000000001 is a correct answer
11 Correct 1 ms 504 KB n = 2, 3000000000 is a correct answer
12 Incorrect 1 ms 348 KB n = 3, incorrect answer: jury 3000000000 vs contestant 3000000001
13 Halted 0 ms 0 KB -

Subtask #2
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB n = 4, 80 is a correct answer
2 Correct 1 ms 504 KB n = 9, 110 is a correct answer
3 Correct 1 ms 336 KB n = 4, 21 is a correct answer
4 Correct 1 ms 336 KB n = 3, 4 is a correct answer
5 Correct 1 ms 336 KB n = 2, 62 is a correct answer
6 Correct 1 ms 336 KB n = 2, 3 is a correct answer
7 Correct 1 ms 336 KB n = 3, 29 is a correct answer
8 Correct 1 ms 336 KB n = 2, 3 is a correct answer
9 Correct 1 ms 336 KB n = 2, 3 is a correct answer
10 Correct 1 ms 336 KB n = 2, 2000000001 is a correct answer
11 Correct 1 ms 504 KB n = 2, 3000000000 is a correct answer
12 Incorrect 1 ms 348 KB n = 3, incorrect answer: jury 3000000000 vs contestant 3000000001
13 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB n = 4, 80 is a correct answer
2 Correct 1 ms 504 KB n = 9, 110 is a correct answer
3 Correct 1 ms 336 KB n = 4, 21 is a correct answer
4 Correct 1 ms 336 KB n = 3, 4 is a correct answer
5 Correct 1 ms 336 KB n = 2, 62 is a correct answer
6 Correct 1 ms 336 KB n = 2, 3 is a correct answer
7 Correct 1 ms 336 KB n = 3, 29 is a correct answer
8 Correct 1 ms 336 KB n = 2, 3 is a correct answer
9 Correct 1 ms 336 KB n = 2, 3 is a correct answer
10 Correct 1 ms 336 KB n = 2, 2000000001 is a correct answer
11 Correct 1 ms 504 KB n = 2, 3000000000 is a correct answer
12 Incorrect 1 ms 348 KB n = 3, incorrect answer: jury 3000000000 vs contestant 3000000001
13 Halted 0 ms 0 KB -

Subtask #4
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB n = 4, 80 is a correct answer
2 Correct 1 ms 504 KB n = 9, 110 is a correct answer
3 Correct 1 ms 336 KB n = 4, 21 is a correct answer
4 Correct 1 ms 336 KB n = 3, 4 is a correct answer
5 Correct 1 ms 336 KB n = 2, 62 is a correct answer
6 Correct 1 ms 336 KB n = 2, 3 is a correct answer
7 Correct 1 ms 336 KB n = 3, 29 is a correct answer
8 Correct 1 ms 336 KB n = 2, 3 is a correct answer
9 Correct 1 ms 336 KB n = 2, 3 is a correct answer
10 Correct 1 ms 336 KB n = 2, 2000000001 is a correct answer
11 Correct 1 ms 504 KB n = 2, 3000000000 is a correct answer
12 Incorrect 1 ms 348 KB n = 3, incorrect answer: jury 3000000000 vs contestant 3000000001
13 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB n = 4, 80 is a correct answer
2 Correct 1 ms 504 KB n = 9, 110 is a correct answer
3 Correct 1 ms 336 KB n = 4, 21 is a correct answer
4 Correct 1 ms 336 KB n = 3, 4 is a correct answer
5 Correct 1 ms 336 KB n = 2, 62 is a correct answer
6 Correct 1 ms 336 KB n = 2, 3 is a correct answer
7 Correct 1 ms 336 KB n = 3, 29 is a correct answer
8 Correct 1 ms 336 KB n = 2, 3 is a correct answer
9 Correct 1 ms 336 KB n = 2, 3 is a correct answer
10 Correct 1 ms 336 KB n = 2, 2000000001 is a correct answer
11 Correct 1 ms 504 KB n = 2, 3000000000 is a correct answer
12 Incorrect 1 ms 348 KB n = 3, incorrect answer: jury 3000000000 vs contestant 3000000001
13 Halted 0 ms 0 KB -

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB n = 4, 80 is a correct answer
2 Correct 1 ms 504 KB n = 9, 110 is a correct answer
3 Correct 1 ms 336 KB n = 4, 21 is a correct answer
4 Correct 1 ms 336 KB n = 3, 4 is a correct answer
5 Correct 1 ms 336 KB n = 2, 62 is a correct answer
6 Correct 1 ms 336 KB n = 2, 3 is a correct answer
7 Correct 1 ms 336 KB n = 3, 29 is a correct answer
8 Correct 1 ms 336 KB n = 2, 3 is a correct answer
9 Correct 1 ms 336 KB n = 2, 3 is a correct answer
10 Correct 1 ms 336 KB n = 2, 2000000001 is a correct answer
11 Correct 1 ms 504 KB n = 2, 3000000000 is a correct answer
12 Incorrect 1 ms 348 KB n = 3, incorrect answer: jury 3000000000 vs contestant 3000000001
13 Halted 0 ms 0 KB -

Subtask #7
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB n = 4, 80 is a correct answer
2 Correct 1 ms 504 KB n = 9, 110 is a correct answer
3 Correct 1 ms 336 KB n = 4, 21 is a correct answer
4 Correct 1 ms 336 KB n = 3, 4 is a correct answer
5 Correct 1 ms 336 KB n = 2, 62 is a correct answer
6 Correct 1 ms 336 KB n = 2, 3 is a correct answer
7 Correct 1 ms 336 KB n = 3, 29 is a correct answer
8 Correct 1 ms 336 KB n = 2, 3 is a correct answer
9 Correct 1 ms 336 KB n = 2, 3 is a correct answer
10 Correct 1 ms 336 KB n = 2, 2000000001 is a correct answer
11 Correct 1 ms 504 KB n = 2, 3000000000 is a correct answer
12 Incorrect 1 ms 348 KB n = 3, incorrect answer: jury 3000000000 vs contestant 3000000001
13 Halted 0 ms 0 KB -

Subtask #8
0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB n = 4, 80 is a correct answer
2 Correct 1 ms 504 KB n = 9, 110 is a correct answer
3 Correct 1 ms 336 KB n = 4, 21 is a correct answer
4 Correct 1 ms 336 KB n = 3, 4 is a correct answer
5 Correct 1 ms 336 KB n = 2, 62 is a correct answer
6 Correct 1 ms 336 KB n = 2, 3 is a correct answer
7 Correct 1 ms 336 KB n = 3, 29 is a correct answer
8 Correct 1 ms 336 KB n = 2, 3 is a correct answer
9 Correct 1 ms 336 KB n = 2, 3 is a correct answer
10 Correct 1 ms 336 KB n = 2, 2000000001 is a correct answer
11 Correct 1 ms 504 KB n = 2, 3000000000 is a correct answer
12 Incorrect 1 ms 348 KB n = 3, incorrect answer: jury 3000000000 vs contestant 3000000001
13 Halted 0 ms 0 KB -