oj.uz

Submission #600633

# Submission time Handle Problem Language Result Execution time Memory
600633 2022-07-21T06:31:49 Z cheissmart Shortcut (IOI16_shortcut) C++14
0 / 100
 1 ms 340 KB 
#include "shortcut.h"
#include <bits/stdc++.h>
#define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0);
#define F first
#define S second
#define V vector
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(), (v).end()
 
using namespace std;
 
typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;
 
const int INF = 1e9 + 7;
const ll oo = 1e18;
 
ll find_shortcut(int n, vi l, vi d, int c) {
    assert(SZ(l) == n - 1);
    assert(SZ(d) == n);
    V<ll> pos(n);
    for(int i = 1; i < n; i++)
        pos[i] = l[i - 1] + pos[i - 1];
 
    auto ok = [&] (ll k) {
        V<pair<ll, int>> a(n), b(n);
        for(int i = 0; i < n; i++) {
            a[i] = {pos[i] + d[i], i};
            b[i] = {k + pos[i] - d[i], i};
        }
        ll lb_sum = -oo, rb_sum = oo;
        ll lb_dif = -oo, rb_dif = oo;
        auto add_condition = [&] (int i, int j) {
            assert(i < j && pos[j] - pos[i] + d[i] + d[j] > k);
            // abs(x - pos[i]) + abs(y - pos[j]) <= k - (d[i] + d[j] + c)
            ll dd = k - (0LL + d[i] + d[j] + c);
            // pos[i] + pos[j] - d <= x + y <= pos[i] + pos[j] + d 
            // pos[i] - pos[j] - d <= x - y <= pos[i] - pos[j] + d 
            lb_sum = max(lb_sum, pos[i] + pos[j] - dd);
            rb_sum = min(rb_sum, pos[i] + pos[j] + dd);
            lb_dif = max(lb_dif, pos[i] - pos[j] - dd);
            rb_dif = min(rb_dif, pos[i] - pos[j] + dd);
        };
        // for(int i = 0; i < n; i++)
        //     for(int j = i + 1; j < n; j++)
        //         if(pos[j] - pos[i] + d[i] + d[j] > k)
        //             add_condition(i, j);
        function<void(int, int)> cdq = [&] (int l, int r) {
            if(r - l == 1) return;
            if(lb_sum > rb_sum) return;
            if(lb_dif > rb_dif) return;
            int m = (l + r) / 2;
            cdq(l, m), cdq(m, r);
            int mxj = -1, mnj = -1;
            for(int i = m - 1, j = r - 1; i >= l; i--) {
                while(j >= m && a[j].F > b[i].F) {
                    int jj = a[j].S;
                    if(mxj == -1 || pos[jj] + d[jj] > pos[mxj] + d[mxj])
                        mxj = jj;
                    if(mnj == -1 || pos[jj] - d[jj] < pos[mnj] - d[mnj])
                        mnj = jj;
                    j--;
                }
                if(mxj != -1) add_condition(b[i].S, mxj);
                if(mnj != -1) add_condition(b[i].S, mnj);
            }
            // b[i] < a[j]
            inplace_merge(a.begin() + l, a.begin() + m, a.begin() + r);
            inplace_merge(b.begin() + l, b.begin() + m, b.begin() + r);
        };
        cdq(0, n);
        if(lb_sum > rb_sum) return false;
        if(lb_dif > rb_dif) return false;
        for(int i = 0; i < n - 1; i++) {
            ll lb = max(lb_sum - pos[i], pos[i] - rb_dif), rb = min(rb_sum - pos[i], pos[i] - lb_dif);
            if(lb <= rb) {
                int j = lower_bound(pos.begin() + i + 1, pos.end(), lb) - pos.begin();
                if(j < n && pos[j] <= rb) {
                    assert(lb_sum <= pos[i] + pos[j] && pos[i] + pos[j] <= rb_sum);
                    assert(lb_dif <= pos[i] - pos[j] && pos[i] - pos[j] <= rb_dif);
                    return true;
                }
            }
        }
        return false;
    };
 
    ll lb = 1, rb = 1e15;
    while(lb <= rb) {
        ll mb = (lb + rb) / 2;
        if(ok(mb)) rb = mb - 1;
        else lb = mb + 1;
    }
    return lb;
}

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB n = 4, 80 is a correct answer
2 Correct 0 ms 212 KB n = 9, 110 is a correct answer
3 Correct 0 ms 212 KB n = 4, 21 is a correct answer
4 Correct 1 ms 212 KB n = 3, 4 is a correct answer
5 Correct 0 ms 212 KB n = 2, 62 is a correct answer
6 Correct 0 ms 212 KB n = 2, 3 is a correct answer
7 Correct 0 ms 212 KB n = 3, 29 is a correct answer
8 Correct 0 ms 212 KB n = 2, 3 is a correct answer
9 Correct 1 ms 212 KB n = 2, 3 is a correct answer
10 Correct 0 ms 212 KB n = 2, 2000000001 is a correct answer
11 Correct 0 ms 212 KB n = 2, 3000000000 is a correct answer
12 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
13 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
14 Correct 0 ms 212 KB n = 4, 3000000001 is a correct answer
15 Correct 1 ms 212 KB n = 4, 4000000000 is a correct answer
16 Correct 0 ms 212 KB n = 5, 4000000000 is a correct answer
17 Correct 1 ms 212 KB n = 10, 1000000343 is a correct answer
18 Correct 0 ms 212 KB n = 10, 3189 is a correct answer
19 Correct 0 ms 212 KB n = 10, 7000000000 is a correct answer
20 Correct 0 ms 212 KB n = 5, 12 is a correct answer
21 Correct 0 ms 212 KB n = 5, 25 is a correct answer
22 Correct 0 ms 212 KB n = 2, 122 is a correct answer
23 Correct 0 ms 212 KB n = 10, 117 is a correct answer
24 Correct 0 ms 212 KB n = 10, 336 is a correct answer
25 Correct 0 ms 212 KB n = 10, 438 is a correct answer
26 Correct 1 ms 212 KB n = 10, 206 is a correct answer
27 Correct 0 ms 212 KB n = 10, 636 is a correct answer
28 Correct 1 ms 212 KB n = 4, 2399 is a correct answer
29 Correct 0 ms 212 KB n = 10, 10992 is a correct answer
30 Correct 0 ms 212 KB n = 10, 3112 is a correct answer
31 Correct 1 ms 212 KB n = 100, 51000000001 is a correct answer
32 Runtime error 1 ms 340 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -

Subtask #2
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB n = 4, 80 is a correct answer
2 Correct 0 ms 212 KB n = 9, 110 is a correct answer
3 Correct 0 ms 212 KB n = 4, 21 is a correct answer
4 Correct 1 ms 212 KB n = 3, 4 is a correct answer
5 Correct 0 ms 212 KB n = 2, 62 is a correct answer
6 Correct 0 ms 212 KB n = 2, 3 is a correct answer
7 Correct 0 ms 212 KB n = 3, 29 is a correct answer
8 Correct 0 ms 212 KB n = 2, 3 is a correct answer
9 Correct 1 ms 212 KB n = 2, 3 is a correct answer
10 Correct 0 ms 212 KB n = 2, 2000000001 is a correct answer
11 Correct 0 ms 212 KB n = 2, 3000000000 is a correct answer
12 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
13 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
14 Correct 0 ms 212 KB n = 4, 3000000001 is a correct answer
15 Correct 1 ms 212 KB n = 4, 4000000000 is a correct answer
16 Correct 0 ms 212 KB n = 5, 4000000000 is a correct answer
17 Correct 1 ms 212 KB n = 10, 1000000343 is a correct answer
18 Correct 0 ms 212 KB n = 10, 3189 is a correct answer
19 Correct 0 ms 212 KB n = 10, 7000000000 is a correct answer
20 Correct 0 ms 212 KB n = 5, 12 is a correct answer
21 Correct 0 ms 212 KB n = 5, 25 is a correct answer
22 Correct 0 ms 212 KB n = 2, 122 is a correct answer
23 Correct 0 ms 212 KB n = 10, 117 is a correct answer
24 Correct 0 ms 212 KB n = 10, 336 is a correct answer
25 Correct 0 ms 212 KB n = 10, 438 is a correct answer
26 Correct 1 ms 212 KB n = 10, 206 is a correct answer
27 Correct 0 ms 212 KB n = 10, 636 is a correct answer
28 Correct 1 ms 212 KB n = 4, 2399 is a correct answer
29 Correct 0 ms 212 KB n = 10, 10992 is a correct answer
30 Correct 0 ms 212 KB n = 10, 3112 is a correct answer
31 Correct 1 ms 212 KB n = 100, 51000000001 is a correct answer
32 Runtime error 1 ms 340 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB n = 4, 80 is a correct answer
2 Correct 0 ms 212 KB n = 9, 110 is a correct answer
3 Correct 0 ms 212 KB n = 4, 21 is a correct answer
4 Correct 1 ms 212 KB n = 3, 4 is a correct answer
5 Correct 0 ms 212 KB n = 2, 62 is a correct answer
6 Correct 0 ms 212 KB n = 2, 3 is a correct answer
7 Correct 0 ms 212 KB n = 3, 29 is a correct answer
8 Correct 0 ms 212 KB n = 2, 3 is a correct answer
9 Correct 1 ms 212 KB n = 2, 3 is a correct answer
10 Correct 0 ms 212 KB n = 2, 2000000001 is a correct answer
11 Correct 0 ms 212 KB n = 2, 3000000000 is a correct answer
12 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
13 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
14 Correct 0 ms 212 KB n = 4, 3000000001 is a correct answer
15 Correct 1 ms 212 KB n = 4, 4000000000 is a correct answer
16 Correct 0 ms 212 KB n = 5, 4000000000 is a correct answer
17 Correct 1 ms 212 KB n = 10, 1000000343 is a correct answer
18 Correct 0 ms 212 KB n = 10, 3189 is a correct answer
19 Correct 0 ms 212 KB n = 10, 7000000000 is a correct answer
20 Correct 0 ms 212 KB n = 5, 12 is a correct answer
21 Correct 0 ms 212 KB n = 5, 25 is a correct answer
22 Correct 0 ms 212 KB n = 2, 122 is a correct answer
23 Correct 0 ms 212 KB n = 10, 117 is a correct answer
24 Correct 0 ms 212 KB n = 10, 336 is a correct answer
25 Correct 0 ms 212 KB n = 10, 438 is a correct answer
26 Correct 1 ms 212 KB n = 10, 206 is a correct answer
27 Correct 0 ms 212 KB n = 10, 636 is a correct answer
28 Correct 1 ms 212 KB n = 4, 2399 is a correct answer
29 Correct 0 ms 212 KB n = 10, 10992 is a correct answer
30 Correct 0 ms 212 KB n = 10, 3112 is a correct answer
31 Correct 1 ms 212 KB n = 100, 51000000001 is a correct answer
32 Runtime error 1 ms 340 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -

Subtask #4
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB n = 4, 80 is a correct answer
2 Correct 0 ms 212 KB n = 9, 110 is a correct answer
3 Correct 0 ms 212 KB n = 4, 21 is a correct answer
4 Correct 1 ms 212 KB n = 3, 4 is a correct answer
5 Correct 0 ms 212 KB n = 2, 62 is a correct answer
6 Correct 0 ms 212 KB n = 2, 3 is a correct answer
7 Correct 0 ms 212 KB n = 3, 29 is a correct answer
8 Correct 0 ms 212 KB n = 2, 3 is a correct answer
9 Correct 1 ms 212 KB n = 2, 3 is a correct answer
10 Correct 0 ms 212 KB n = 2, 2000000001 is a correct answer
11 Correct 0 ms 212 KB n = 2, 3000000000 is a correct answer
12 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
13 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
14 Correct 0 ms 212 KB n = 4, 3000000001 is a correct answer
15 Correct 1 ms 212 KB n = 4, 4000000000 is a correct answer
16 Correct 0 ms 212 KB n = 5, 4000000000 is a correct answer
17 Correct 1 ms 212 KB n = 10, 1000000343 is a correct answer
18 Correct 0 ms 212 KB n = 10, 3189 is a correct answer
19 Correct 0 ms 212 KB n = 10, 7000000000 is a correct answer
20 Correct 0 ms 212 KB n = 5, 12 is a correct answer
21 Correct 0 ms 212 KB n = 5, 25 is a correct answer
22 Correct 0 ms 212 KB n = 2, 122 is a correct answer
23 Correct 0 ms 212 KB n = 10, 117 is a correct answer
24 Correct 0 ms 212 KB n = 10, 336 is a correct answer
25 Correct 0 ms 212 KB n = 10, 438 is a correct answer
26 Correct 1 ms 212 KB n = 10, 206 is a correct answer
27 Correct 0 ms 212 KB n = 10, 636 is a correct answer
28 Correct 1 ms 212 KB n = 4, 2399 is a correct answer
29 Correct 0 ms 212 KB n = 10, 10992 is a correct answer
30 Correct 0 ms 212 KB n = 10, 3112 is a correct answer
31 Correct 1 ms 212 KB n = 100, 51000000001 is a correct answer
32 Runtime error 1 ms 340 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB n = 4, 80 is a correct answer
2 Correct 0 ms 212 KB n = 9, 110 is a correct answer
3 Correct 0 ms 212 KB n = 4, 21 is a correct answer
4 Correct 1 ms 212 KB n = 3, 4 is a correct answer
5 Correct 0 ms 212 KB n = 2, 62 is a correct answer
6 Correct 0 ms 212 KB n = 2, 3 is a correct answer
7 Correct 0 ms 212 KB n = 3, 29 is a correct answer
8 Correct 0 ms 212 KB n = 2, 3 is a correct answer
9 Correct 1 ms 212 KB n = 2, 3 is a correct answer
10 Correct 0 ms 212 KB n = 2, 2000000001 is a correct answer
11 Correct 0 ms 212 KB n = 2, 3000000000 is a correct answer
12 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
13 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
14 Correct 0 ms 212 KB n = 4, 3000000001 is a correct answer
15 Correct 1 ms 212 KB n = 4, 4000000000 is a correct answer
16 Correct 0 ms 212 KB n = 5, 4000000000 is a correct answer
17 Correct 1 ms 212 KB n = 10, 1000000343 is a correct answer
18 Correct 0 ms 212 KB n = 10, 3189 is a correct answer
19 Correct 0 ms 212 KB n = 10, 7000000000 is a correct answer
20 Correct 0 ms 212 KB n = 5, 12 is a correct answer
21 Correct 0 ms 212 KB n = 5, 25 is a correct answer
22 Correct 0 ms 212 KB n = 2, 122 is a correct answer
23 Correct 0 ms 212 KB n = 10, 117 is a correct answer
24 Correct 0 ms 212 KB n = 10, 336 is a correct answer
25 Correct 0 ms 212 KB n = 10, 438 is a correct answer
26 Correct 1 ms 212 KB n = 10, 206 is a correct answer
27 Correct 0 ms 212 KB n = 10, 636 is a correct answer
28 Correct 1 ms 212 KB n = 4, 2399 is a correct answer
29 Correct 0 ms 212 KB n = 10, 10992 is a correct answer
30 Correct 0 ms 212 KB n = 10, 3112 is a correct answer
31 Correct 1 ms 212 KB n = 100, 51000000001 is a correct answer
32 Runtime error 1 ms 340 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB n = 4, 80 is a correct answer
2 Correct 0 ms 212 KB n = 9, 110 is a correct answer
3 Correct 0 ms 212 KB n = 4, 21 is a correct answer
4 Correct 1 ms 212 KB n = 3, 4 is a correct answer
5 Correct 0 ms 212 KB n = 2, 62 is a correct answer
6 Correct 0 ms 212 KB n = 2, 3 is a correct answer
7 Correct 0 ms 212 KB n = 3, 29 is a correct answer
8 Correct 0 ms 212 KB n = 2, 3 is a correct answer
9 Correct 1 ms 212 KB n = 2, 3 is a correct answer
10 Correct 0 ms 212 KB n = 2, 2000000001 is a correct answer
11 Correct 0 ms 212 KB n = 2, 3000000000 is a correct answer
12 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
13 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
14 Correct 0 ms 212 KB n = 4, 3000000001 is a correct answer
15 Correct 1 ms 212 KB n = 4, 4000000000 is a correct answer
16 Correct 0 ms 212 KB n = 5, 4000000000 is a correct answer
17 Correct 1 ms 212 KB n = 10, 1000000343 is a correct answer
18 Correct 0 ms 212 KB n = 10, 3189 is a correct answer
19 Correct 0 ms 212 KB n = 10, 7000000000 is a correct answer
20 Correct 0 ms 212 KB n = 5, 12 is a correct answer
21 Correct 0 ms 212 KB n = 5, 25 is a correct answer
22 Correct 0 ms 212 KB n = 2, 122 is a correct answer
23 Correct 0 ms 212 KB n = 10, 117 is a correct answer
24 Correct 0 ms 212 KB n = 10, 336 is a correct answer
25 Correct 0 ms 212 KB n = 10, 438 is a correct answer
26 Correct 1 ms 212 KB n = 10, 206 is a correct answer
27 Correct 0 ms 212 KB n = 10, 636 is a correct answer
28 Correct 1 ms 212 KB n = 4, 2399 is a correct answer
29 Correct 0 ms 212 KB n = 10, 10992 is a correct answer
30 Correct 0 ms 212 KB n = 10, 3112 is a correct answer
31 Correct 1 ms 212 KB n = 100, 51000000001 is a correct answer
32 Runtime error 1 ms 340 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -

Subtask #7
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB n = 4, 80 is a correct answer
2 Correct 0 ms 212 KB n = 9, 110 is a correct answer
3 Correct 0 ms 212 KB n = 4, 21 is a correct answer
4 Correct 1 ms 212 KB n = 3, 4 is a correct answer
5 Correct 0 ms 212 KB n = 2, 62 is a correct answer
6 Correct 0 ms 212 KB n = 2, 3 is a correct answer
7 Correct 0 ms 212 KB n = 3, 29 is a correct answer
8 Correct 0 ms 212 KB n = 2, 3 is a correct answer
9 Correct 1 ms 212 KB n = 2, 3 is a correct answer
10 Correct 0 ms 212 KB n = 2, 2000000001 is a correct answer
11 Correct 0 ms 212 KB n = 2, 3000000000 is a correct answer
12 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
13 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
14 Correct 0 ms 212 KB n = 4, 3000000001 is a correct answer
15 Correct 1 ms 212 KB n = 4, 4000000000 is a correct answer
16 Correct 0 ms 212 KB n = 5, 4000000000 is a correct answer
17 Correct 1 ms 212 KB n = 10, 1000000343 is a correct answer
18 Correct 0 ms 212 KB n = 10, 3189 is a correct answer
19 Correct 0 ms 212 KB n = 10, 7000000000 is a correct answer
20 Correct 0 ms 212 KB n = 5, 12 is a correct answer
21 Correct 0 ms 212 KB n = 5, 25 is a correct answer
22 Correct 0 ms 212 KB n = 2, 122 is a correct answer
23 Correct 0 ms 212 KB n = 10, 117 is a correct answer
24 Correct 0 ms 212 KB n = 10, 336 is a correct answer
25 Correct 0 ms 212 KB n = 10, 438 is a correct answer
26 Correct 1 ms 212 KB n = 10, 206 is a correct answer
27 Correct 0 ms 212 KB n = 10, 636 is a correct answer
28 Correct 1 ms 212 KB n = 4, 2399 is a correct answer
29 Correct 0 ms 212 KB n = 10, 10992 is a correct answer
30 Correct 0 ms 212 KB n = 10, 3112 is a correct answer
31 Correct 1 ms 212 KB n = 100, 51000000001 is a correct answer
32 Runtime error 1 ms 340 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -

Subtask #8
0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB n = 4, 80 is a correct answer
2 Correct 0 ms 212 KB n = 9, 110 is a correct answer
3 Correct 0 ms 212 KB n = 4, 21 is a correct answer
4 Correct 1 ms 212 KB n = 3, 4 is a correct answer
5 Correct 0 ms 212 KB n = 2, 62 is a correct answer
6 Correct 0 ms 212 KB n = 2, 3 is a correct answer
7 Correct 0 ms 212 KB n = 3, 29 is a correct answer
8 Correct 0 ms 212 KB n = 2, 3 is a correct answer
9 Correct 1 ms 212 KB n = 2, 3 is a correct answer
10 Correct 0 ms 212 KB n = 2, 2000000001 is a correct answer
11 Correct 0 ms 212 KB n = 2, 3000000000 is a correct answer
12 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
13 Correct 0 ms 212 KB n = 3, 3000000000 is a correct answer
14 Correct 0 ms 212 KB n = 4, 3000000001 is a correct answer
15 Correct 1 ms 212 KB n = 4, 4000000000 is a correct answer
16 Correct 0 ms 212 KB n = 5, 4000000000 is a correct answer
17 Correct 1 ms 212 KB n = 10, 1000000343 is a correct answer
18 Correct 0 ms 212 KB n = 10, 3189 is a correct answer
19 Correct 0 ms 212 KB n = 10, 7000000000 is a correct answer
20 Correct 0 ms 212 KB n = 5, 12 is a correct answer
21 Correct 0 ms 212 KB n = 5, 25 is a correct answer
22 Correct 0 ms 212 KB n = 2, 122 is a correct answer
23 Correct 0 ms 212 KB n = 10, 117 is a correct answer
24 Correct 0 ms 212 KB n = 10, 336 is a correct answer
25 Correct 0 ms 212 KB n = 10, 438 is a correct answer
26 Correct 1 ms 212 KB n = 10, 206 is a correct answer
27 Correct 0 ms 212 KB n = 10, 636 is a correct answer
28 Correct 1 ms 212 KB n = 4, 2399 is a correct answer
29 Correct 0 ms 212 KB n = 10, 10992 is a correct answer
30 Correct 0 ms 212 KB n = 10, 3112 is a correct answer
31 Correct 1 ms 212 KB n = 100, 51000000001 is a correct answer
32 Runtime error 1 ms 340 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -