Submission #561320

# Submission time Handle Problem Language Result Execution time Memory
561320 2022-05-12T16:03:43 Z InternetPerson10 Rainforest Jumps (APIO21_jumps) C++17
12 / 100
4000 ms 626764 KB
#include "jumps.h"
#include <bits/stdc++.h>

using namespace std;

int subtask = 1;

int n;
vector<int> nums, l, r;
vector<vector<int>> liftBig, liftRight, liftLeft;

bool invalid(int k) {
    if(k == -1 || k == n) return true;
    return false;
}

int bigger(int a, int b) {
    if(invalid(a) && invalid(b)) return -1;
    if(invalid(a)) return b;
    if(invalid(b)) return a;
    if(nums[a] > nums[b]) return a;
    return b;
}

void init(int N, std::vector<int> H) {
    bool subtask1 = true;
    for(int i = 0; i < N; i++) {
        if(H[i] != i+1) subtask1 = false;
        H[i]--;
    }
    if(subtask1) subtask = 1;
    else if(N <= 200) subtask = 2;
    else subtask = 3;
    n = N;
    nums = H;
    l.resize(n, -1);
    r.resize(n, n);
    liftBig.resize(n, vector<int>(20));
    liftRight.resize(n, vector<int>(20));
    liftLeft.resize(n, vector<int>(20));
    vector<int> v;
    v.push_back(0);
    for(int i = 1; i < n; i++) {
        while(v.size()) {
            if(nums[v.back()] < nums[i]) {
                r[v.back()] = i;
                v.pop_back();
            }
            else break;
        }
        v.push_back(i);
    }
    v.clear();
    v.push_back(n-1);
    for(int i = n-2; i >= 0; i--) {
        while(v.size()) {
            if(nums[v.back()] < nums[i]) {
                l[v.back()] = i;
                v.pop_back();
            }
            else break;
        }
        v.push_back(i);
    }
    for(int j = 0; j < N; j++) {
        liftBig[j][0] = bigger(l[j], r[j]);
        liftLeft[j][0] = l[j];
        if(r[j] == n) liftRight[j][0] = -1;
        else liftRight[j][0] = r[j];
    }
    for(int i = 1; i < 20; i++) {
        for(int j = 0; j < N; j++) {
            if(liftBig[j][i-1] == -1) liftBig[j][i] = -1;
            else liftBig[j][i] = liftBig[liftBig[j][i-1]][i-1];
            if(liftRight[j][i-1] == -1) liftRight[j][i] = -1;
            else liftRight[j][i] = liftRight[liftRight[j][i-1]][i-1];
            if(liftLeft[j][i-1] == -1) liftLeft[j][i] = -1;
            else liftLeft[j][i] = liftLeft[liftLeft[j][i-1]][i-1];
        }
    }
}

int BIG = 1e9 + 7;

int reachable(int x, int C, int D) { // With a series of right jumps
    if(C <= x && x <= D) return 0;
    if(x > D) return -1;
    int ans2 = BIG, tot = 0;
    for(int i = 19; i >= 0; i--) {
        if(liftRight[x][i] == -1) continue;
        if(liftRight[x][i] > D) continue;
        if(liftRight[x][i] >= C) ans2 = min(ans2, tot + (1 << i));
        else {
            x = liftRight[x][i];
            tot += (1 << i);
        }
    }
    if(ans2 == BIG) return -1;
    return ans2;
}

int single_min_jumps(int x, int C, int D) {
    int r = reachable(x, C, D);
    if(r == -1) return BIG;
    int ans = r;
    int tot = 0;
    if(subtask == 2) {
        while(liftBig[x][0] != -1) {
            x = liftBig[x][0];
            tot++;
            r = reachable(x, C, D);
            if(r != -1) ans = min(ans, r + tot);
        }
        return ans;
    }
    for(int i = 19; i >= 0; i--) {
        if(liftBig[x][i] == -1) continue;
        int r = reachable(liftBig[x][i], C, D);
        if(r == -1) continue;
        ans = min(ans, tot + (1 << i) + r);
        if(r != 0) {
            x = liftBig[x][i];
            tot += (1 << i);
        }
    }
    return ans;
}

map<pair<int, pair<int, int>>, int> dp;

int single_min_jumps_brute(int x, int C, int D) {
    if(invalid(x)) return BIG;
    pair<int, pair<int, int>> p = {x, {C, D}};
    if(dp.count(p)) return dp[p];
    if(C <= x && x <= D) return dp[p] = 0;
    return dp[p] = min(single_min_jumps_brute(l[x], C, D),
            single_min_jumps_brute(r[x], C, D)) + 1;
}

int minimum_jumps(int A, int B, int C, int D) {
    if(subtask == 1) {
        return C - B;
    }
    int ans2 = BIG;
    for(int i = A; i <= B; i++) {
        ans2 = min(ans2, single_min_jumps_brute(i, C, D));
    }
    if(ans2 == BIG) ans2 = -1;
    for(int i = 19; i >= 0; i--) {
        if(liftLeft[B][i] == -1) continue;
        if(liftLeft[B][i] < A) continue;
        if(reachable(liftLeft[B][i], C, D) == -1) continue;
        B = liftLeft[B][i];
    }
    int ans = single_min_jumps(B, C, D);
    if(ans == BIG) ans = -1;
    /*
    cout << "CASE: " << A << ' ' << B << ' ' << C << ' ' << D << '\n';
    cout << "ANS: " << ans << '\n';
    cout << "BRUTE: " << ans2 << '\n';
    */
    assert(ans == ans2);
    return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 198 ms 60556 KB Output is correct
4 Correct 900 ms 75792 KB Output is correct
5 Correct 727 ms 38296 KB Output is correct
6 Correct 912 ms 75712 KB Output is correct
7 Correct 637 ms 52228 KB Output is correct
8 Correct 809 ms 75732 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 2 ms 208 KB Output is correct
6 Correct 12 ms 1000 KB Output is correct
7 Correct 6 ms 720 KB Output is correct
8 Correct 9 ms 920 KB Output is correct
9 Correct 2 ms 488 KB Output is correct
10 Correct 9 ms 892 KB Output is correct
11 Correct 2 ms 336 KB Output is correct
12 Correct 10 ms 1368 KB Output is correct
13 Correct 11 ms 1216 KB Output is correct
14 Correct 12 ms 976 KB Output is correct
15 Correct 15 ms 1872 KB Output is correct
16 Correct 13 ms 1360 KB Output is correct
17 Correct 6 ms 756 KB Output is correct
18 Correct 0 ms 208 KB Output is correct
19 Correct 1 ms 208 KB Output is correct
20 Correct 7 ms 720 KB Output is correct
21 Correct 8 ms 976 KB Output is correct
22 Correct 7 ms 720 KB Output is correct
23 Correct 10 ms 1296 KB Output is correct
24 Correct 3 ms 336 KB Output is correct
25 Correct 0 ms 208 KB Output is correct
26 Correct 0 ms 208 KB Output is correct
27 Correct 2 ms 208 KB Output is correct
28 Correct 4 ms 372 KB Output is correct
29 Correct 7 ms 852 KB Output is correct
30 Correct 4 ms 400 KB Output is correct
31 Correct 8 ms 1104 KB Output is correct
32 Correct 3 ms 336 KB Output is correct
33 Correct 0 ms 208 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 2 ms 208 KB Output is correct
6 Correct 12 ms 1000 KB Output is correct
7 Correct 6 ms 720 KB Output is correct
8 Correct 9 ms 920 KB Output is correct
9 Correct 2 ms 488 KB Output is correct
10 Correct 9 ms 892 KB Output is correct
11 Correct 2 ms 336 KB Output is correct
12 Correct 10 ms 1368 KB Output is correct
13 Correct 11 ms 1216 KB Output is correct
14 Correct 12 ms 976 KB Output is correct
15 Correct 15 ms 1872 KB Output is correct
16 Correct 13 ms 1360 KB Output is correct
17 Correct 6 ms 756 KB Output is correct
18 Correct 0 ms 208 KB Output is correct
19 Correct 1 ms 208 KB Output is correct
20 Correct 7 ms 720 KB Output is correct
21 Correct 8 ms 976 KB Output is correct
22 Correct 7 ms 720 KB Output is correct
23 Correct 10 ms 1296 KB Output is correct
24 Correct 3 ms 336 KB Output is correct
25 Correct 0 ms 208 KB Output is correct
26 Correct 0 ms 208 KB Output is correct
27 Correct 2 ms 208 KB Output is correct
28 Correct 4 ms 372 KB Output is correct
29 Correct 7 ms 852 KB Output is correct
30 Correct 4 ms 400 KB Output is correct
31 Correct 8 ms 1104 KB Output is correct
32 Correct 3 ms 336 KB Output is correct
33 Correct 0 ms 208 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 0 ms 208 KB Output is correct
41 Correct 1 ms 208 KB Output is correct
42 Correct 0 ms 208 KB Output is correct
43 Correct 0 ms 208 KB Output is correct
44 Correct 2 ms 256 KB Output is correct
45 Correct 9 ms 1012 KB Output is correct
46 Correct 8 ms 720 KB Output is correct
47 Correct 11 ms 932 KB Output is correct
48 Correct 2 ms 464 KB Output is correct
49 Correct 8 ms 888 KB Output is correct
50 Correct 2 ms 336 KB Output is correct
51 Correct 9 ms 1360 KB Output is correct
52 Correct 10 ms 1232 KB Output is correct
53 Correct 9 ms 976 KB Output is correct
54 Correct 16 ms 1844 KB Output is correct
55 Correct 11 ms 1392 KB Output is correct
56 Correct 7 ms 720 KB Output is correct
57 Correct 1 ms 336 KB Output is correct
58 Correct 522 ms 40476 KB Output is correct
59 Runtime error 119 ms 23728 KB Execution killed with signal 6
60 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 1 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 187 ms 64396 KB Output is correct
6 Correct 264 ms 85096 KB Output is correct
7 Correct 88 ms 38344 KB Output is correct
8 Correct 319 ms 87856 KB Output is correct
9 Correct 50 ms 13256 KB Output is correct
10 Correct 214 ms 78808 KB Output is correct
11 Correct 178 ms 75820 KB Output is correct
12 Correct 539 ms 113936 KB Output is correct
13 Correct 344 ms 108940 KB Output is correct
14 Correct 237 ms 82140 KB Output is correct
15 Runtime error 688 ms 257560 KB Execution killed with signal 6
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 831 ms 63464 KB Output is correct
5 Correct 3613 ms 207260 KB Output is correct
6 Correct 1995 ms 81428 KB Output is correct
7 Correct 3854 ms 208244 KB Output is correct
8 Correct 1844 ms 97276 KB Output is correct
9 Correct 3763 ms 207048 KB Output is correct
10 Correct 841 ms 75744 KB Output is correct
11 Execution timed out 4046 ms 626764 KB Time limit exceeded
12 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 831 ms 63464 KB Output is correct
5 Correct 3613 ms 207260 KB Output is correct
6 Correct 1995 ms 81428 KB Output is correct
7 Correct 3854 ms 208244 KB Output is correct
8 Correct 1844 ms 97276 KB Output is correct
9 Correct 3763 ms 207048 KB Output is correct
10 Correct 841 ms 75744 KB Output is correct
11 Execution timed out 4046 ms 626764 KB Time limit exceeded
12 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 198 ms 60556 KB Output is correct
4 Correct 900 ms 75792 KB Output is correct
5 Correct 727 ms 38296 KB Output is correct
6 Correct 912 ms 75712 KB Output is correct
7 Correct 637 ms 52228 KB Output is correct
8 Correct 809 ms 75732 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 0 ms 208 KB Output is correct
11 Correct 0 ms 208 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 2 ms 208 KB Output is correct
14 Correct 12 ms 1000 KB Output is correct
15 Correct 6 ms 720 KB Output is correct
16 Correct 9 ms 920 KB Output is correct
17 Correct 2 ms 488 KB Output is correct
18 Correct 9 ms 892 KB Output is correct
19 Correct 2 ms 336 KB Output is correct
20 Correct 10 ms 1368 KB Output is correct
21 Correct 11 ms 1216 KB Output is correct
22 Correct 12 ms 976 KB Output is correct
23 Correct 15 ms 1872 KB Output is correct
24 Correct 13 ms 1360 KB Output is correct
25 Correct 6 ms 756 KB Output is correct
26 Correct 0 ms 208 KB Output is correct
27 Correct 1 ms 208 KB Output is correct
28 Correct 7 ms 720 KB Output is correct
29 Correct 8 ms 976 KB Output is correct
30 Correct 7 ms 720 KB Output is correct
31 Correct 10 ms 1296 KB Output is correct
32 Correct 3 ms 336 KB Output is correct
33 Correct 0 ms 208 KB Output is correct
34 Correct 0 ms 208 KB Output is correct
35 Correct 2 ms 208 KB Output is correct
36 Correct 4 ms 372 KB Output is correct
37 Correct 7 ms 852 KB Output is correct
38 Correct 4 ms 400 KB Output is correct
39 Correct 8 ms 1104 KB Output is correct
40 Correct 3 ms 336 KB Output is correct
41 Correct 0 ms 208 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 336 KB Output is correct
44 Correct 1 ms 336 KB Output is correct
45 Correct 1 ms 336 KB Output is correct
46 Correct 1 ms 336 KB Output is correct
47 Correct 1 ms 336 KB Output is correct
48 Correct 0 ms 208 KB Output is correct
49 Correct 1 ms 208 KB Output is correct
50 Correct 0 ms 208 KB Output is correct
51 Correct 0 ms 208 KB Output is correct
52 Correct 2 ms 256 KB Output is correct
53 Correct 9 ms 1012 KB Output is correct
54 Correct 8 ms 720 KB Output is correct
55 Correct 11 ms 932 KB Output is correct
56 Correct 2 ms 464 KB Output is correct
57 Correct 8 ms 888 KB Output is correct
58 Correct 2 ms 336 KB Output is correct
59 Correct 9 ms 1360 KB Output is correct
60 Correct 10 ms 1232 KB Output is correct
61 Correct 9 ms 976 KB Output is correct
62 Correct 16 ms 1844 KB Output is correct
63 Correct 11 ms 1392 KB Output is correct
64 Correct 7 ms 720 KB Output is correct
65 Correct 1 ms 336 KB Output is correct
66 Correct 522 ms 40476 KB Output is correct
67 Runtime error 119 ms 23728 KB Execution killed with signal 6
68 Halted 0 ms 0 KB -