Submission #561351

# Submission time Handle Problem Language Result Execution time Memory
561351 2022-05-12T16:45:08 Z InternetPerson10 Rainforest Jumps (APIO21_jumps) C++17
81 / 100
4000 ms 474304 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;
}

void debug(int A, int B, int C, int D, int ans) {
    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;
    if(ans != ans2) {
        cerr << "NUMBERS:\n";
        for(int i = 0; i < n; i++) cerr << i << ' ' << nums[i] << '\n';
        cerr << '\n';
        cerr << "CASE: " << A << ' ' << B << ' ' << C << ' ' << D << '\n';
        cerr << "ANS: " << ans << '\n';
        cerr << "BRUTE: " << ans2 << '\n';
        assert(false);
    }
}

int minimum_jumps(int A, int B, int C, int D) {
    if(subtask == 1) {
        return C - B;
    }
    int ans = BIG;
    if(C != D) {
        for(int i = A; i <= B; i++) {
            ans = min(ans, single_min_jumps_brute(i, C, D));
        }
    }
    else {
        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;
            ans = single_min_jumps(B, C, D);
            B = liftLeft[B][i];
        }
        ans = single_min_jumps(B, C, D);
    }
    if(ans == BIG) ans = -1;
    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 214 ms 60520 KB Output is correct
4 Correct 890 ms 75800 KB Output is correct
5 Correct 674 ms 38336 KB Output is correct
6 Correct 839 ms 75796 KB Output is correct
7 Correct 766 ms 52160 KB Output is correct
8 Correct 935 ms 75812 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 8 ms 896 KB Output is correct
7 Correct 4 ms 624 KB Output is correct
8 Correct 8 ms 848 KB Output is correct
9 Correct 2 ms 420 KB Output is correct
10 Correct 8 ms 868 KB Output is correct
11 Correct 3 ms 336 KB Output is correct
12 Correct 9 ms 1404 KB Output is correct
13 Correct 9 ms 1096 KB Output is correct
14 Correct 8 ms 976 KB Output is correct
15 Correct 14 ms 1656 KB Output is correct
16 Correct 10 ms 1360 KB Output is correct
17 Correct 6 ms 592 KB Output is correct
18 Correct 1 ms 208 KB Output is correct
19 Correct 1 ms 208 KB Output is correct
20 Correct 2 ms 336 KB Output is correct
21 Correct 3 ms 336 KB Output is correct
22 Correct 3 ms 336 KB Output is correct
23 Correct 2 ms 336 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 1 ms 256 KB Output is correct
26 Correct 0 ms 208 KB Output is correct
27 Correct 2 ms 208 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 3 ms 336 KB Output is correct
30 Correct 3 ms 336 KB Output is correct
31 Correct 3 ms 336 KB Output is correct
32 Correct 4 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 284 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 8 ms 896 KB Output is correct
7 Correct 4 ms 624 KB Output is correct
8 Correct 8 ms 848 KB Output is correct
9 Correct 2 ms 420 KB Output is correct
10 Correct 8 ms 868 KB Output is correct
11 Correct 3 ms 336 KB Output is correct
12 Correct 9 ms 1404 KB Output is correct
13 Correct 9 ms 1096 KB Output is correct
14 Correct 8 ms 976 KB Output is correct
15 Correct 14 ms 1656 KB Output is correct
16 Correct 10 ms 1360 KB Output is correct
17 Correct 6 ms 592 KB Output is correct
18 Correct 1 ms 208 KB Output is correct
19 Correct 1 ms 208 KB Output is correct
20 Correct 2 ms 336 KB Output is correct
21 Correct 3 ms 336 KB Output is correct
22 Correct 3 ms 336 KB Output is correct
23 Correct 2 ms 336 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 1 ms 256 KB Output is correct
26 Correct 0 ms 208 KB Output is correct
27 Correct 2 ms 208 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 3 ms 336 KB Output is correct
30 Correct 3 ms 336 KB Output is correct
31 Correct 3 ms 336 KB Output is correct
32 Correct 4 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 284 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 0 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 208 KB Output is correct
45 Correct 10 ms 968 KB Output is correct
46 Correct 5 ms 592 KB Output is correct
47 Correct 9 ms 848 KB Output is correct
48 Correct 2 ms 464 KB Output is correct
49 Correct 7 ms 840 KB Output is correct
50 Correct 2 ms 336 KB Output is correct
51 Correct 9 ms 1232 KB Output is correct
52 Correct 8 ms 1104 KB Output is correct
53 Correct 8 ms 856 KB Output is correct
54 Correct 13 ms 1704 KB Output is correct
55 Correct 12 ms 1332 KB Output is correct
56 Correct 6 ms 644 KB Output is correct
57 Correct 1 ms 336 KB Output is correct
58 Correct 491 ms 39220 KB Output is correct
59 Correct 841 ms 62252 KB Output is correct
60 Correct 79 ms 6952 KB Output is correct
61 Correct 772 ms 63500 KB Output is correct
62 Correct 62 ms 3984 KB Output is correct
63 Correct 778 ms 61184 KB Output is correct
64 Correct 18 ms 976 KB Output is correct
65 Correct 815 ms 118700 KB Output is correct
66 Correct 912 ms 123156 KB Output is correct
67 Correct 821 ms 62240 KB Output is correct
68 Correct 1756 ms 158800 KB Output is correct
69 Correct 1134 ms 115840 KB Output is correct
70 Correct 914 ms 98576 KB Output is correct
71 Correct 0 ms 208 KB Output is correct
72 Correct 1 ms 208 KB Output is correct
73 Correct 2 ms 336 KB Output is correct
74 Correct 2 ms 336 KB Output is correct
75 Correct 4 ms 336 KB Output is correct
76 Correct 3 ms 336 KB Output is correct
77 Correct 3 ms 336 KB Output is correct
78 Correct 0 ms 208 KB Output is correct
79 Correct 1 ms 208 KB Output is correct
80 Correct 2 ms 208 KB Output is correct
81 Correct 3 ms 336 KB Output is correct
82 Correct 3 ms 336 KB Output is correct
83 Correct 2 ms 336 KB Output is correct
84 Correct 3 ms 336 KB Output is correct
85 Correct 3 ms 336 KB Output is correct
86 Correct 0 ms 208 KB Output is correct
87 Correct 0 ms 336 KB Output is correct
88 Correct 1 ms 336 KB Output is correct
89 Correct 1 ms 376 KB Output is correct
90 Correct 1 ms 372 KB Output is correct
91 Correct 1 ms 336 KB Output is correct
92 Correct 1 ms 336 KB Output is correct
93 Correct 0 ms 336 KB Output is correct
94 Correct 2 ms 336 KB Output is correct
95 Correct 15 ms 976 KB Output is correct
96 Correct 20 ms 976 KB Output is correct
97 Correct 24 ms 976 KB Output is correct
98 Correct 20 ms 976 KB Output is correct
99 Correct 11 ms 1056 KB Output is correct
100 Correct 1 ms 336 KB Output is correct
101 Correct 1 ms 464 KB Output is correct
102 Correct 19 ms 976 KB Output is correct
103 Correct 12 ms 976 KB Output is correct
104 Correct 17 ms 976 KB Output is correct
105 Correct 24 ms 976 KB Output is correct
106 Correct 16 ms 976 KB Output is correct
107 Correct 0 ms 336 KB Output is correct
108 Correct 1 ms 592 KB Output is correct
109 Correct 3 ms 1104 KB Output is correct
110 Correct 3 ms 1360 KB Output is correct
111 Correct 4 ms 1104 KB Output is correct
112 Correct 5 ms 1516 KB Output is correct
113 Correct 3 ms 1232 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 172 ms 64392 KB Output is correct
6 Correct 279 ms 85096 KB Output is correct
7 Correct 97 ms 38416 KB Output is correct
8 Correct 284 ms 87812 KB Output is correct
9 Correct 43 ms 13276 KB Output is correct
10 Correct 217 ms 78732 KB Output is correct
11 Correct 171 ms 75824 KB Output is correct
12 Correct 445 ms 108836 KB Output is correct
13 Correct 290 ms 95800 KB Output is correct
14 Correct 261 ms 81952 KB Output is correct
15 Correct 476 ms 111224 KB Output is correct
16 Correct 390 ms 102644 KB Output is correct
17 Correct 511 ms 117100 KB Output is correct
18 Correct 0 ms 208 KB Output is correct
19 Correct 0 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 592 KB Output is correct
27 Correct 3 ms 1104 KB Output is correct
28 Correct 4 ms 1360 KB Output is correct
29 Correct 3 ms 1104 KB Output is correct
30 Correct 4 ms 1488 KB Output is correct
31 Correct 3 ms 1232 KB Output is correct
32 Correct 0 ms 208 KB Output is correct
33 Correct 165 ms 74524 KB Output is correct
34 Correct 197 ms 74776 KB Output is correct
35 Correct 164 ms 75832 KB Output is correct
36 Correct 164 ms 74672 KB Output is correct
37 Correct 214 ms 75288 KB Output is correct
38 Correct 163 ms 75792 KB Output is correct
39 Correct 0 ms 208 KB Output is correct
40 Correct 111 ms 43416 KB Output is correct
41 Correct 184 ms 74696 KB Output is correct
42 Correct 164 ms 75780 KB Output is correct
43 Correct 174 ms 74672 KB Output is correct
44 Correct 218 ms 75288 KB Output is correct
45 Correct 176 ms 75724 KB Output is correct
# 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 257 ms 34292 KB Output is correct
5 Correct 1061 ms 74644 KB Output is correct
6 Correct 630 ms 12496 KB Output is correct
7 Correct 987 ms 74648 KB Output is correct
8 Correct 517 ms 25824 KB Output is correct
9 Correct 1070 ms 74572 KB Output is correct
10 Correct 899 ms 75812 KB Output is correct
11 Correct 1112 ms 75852 KB Output is correct
12 Correct 1441 ms 75812 KB Output is correct
13 Correct 1014 ms 74664 KB Output is correct
14 Correct 1423 ms 75304 KB Output is correct
15 Correct 978 ms 75784 KB Output is correct
16 Correct 968 ms 75752 KB Output is correct
17 Correct 0 ms 208 KB Output is correct
18 Correct 0 ms 208 KB Output is correct
19 Correct 2 ms 208 KB Output is correct
20 Correct 4 ms 336 KB Output is correct
21 Correct 2 ms 336 KB Output is correct
22 Correct 2 ms 336 KB Output is correct
23 Correct 3 ms 336 KB Output is correct
24 Correct 4 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 19 ms 976 KB Output is correct
28 Correct 23 ms 976 KB Output is correct
29 Correct 17 ms 976 KB Output is correct
30 Correct 20 ms 976 KB Output is correct
31 Correct 18 ms 976 KB Output is correct
32 Correct 1 ms 208 KB Output is correct
33 Correct 117 ms 43352 KB Output is correct
34 Correct 164 ms 74540 KB Output is correct
35 Correct 170 ms 75812 KB Output is correct
36 Correct 172 ms 74640 KB Output is correct
37 Correct 192 ms 75308 KB Output is correct
38 Correct 205 ms 75820 KB Output is correct
# 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 257 ms 34292 KB Output is correct
5 Correct 1061 ms 74644 KB Output is correct
6 Correct 630 ms 12496 KB Output is correct
7 Correct 987 ms 74648 KB Output is correct
8 Correct 517 ms 25824 KB Output is correct
9 Correct 1070 ms 74572 KB Output is correct
10 Correct 899 ms 75812 KB Output is correct
11 Correct 1112 ms 75852 KB Output is correct
12 Correct 1441 ms 75812 KB Output is correct
13 Correct 1014 ms 74664 KB Output is correct
14 Correct 1423 ms 75304 KB Output is correct
15 Correct 978 ms 75784 KB Output is correct
16 Correct 968 ms 75752 KB Output is correct
17 Correct 0 ms 208 KB Output is correct
18 Correct 0 ms 208 KB Output is correct
19 Correct 2 ms 208 KB Output is correct
20 Correct 4 ms 336 KB Output is correct
21 Correct 2 ms 336 KB Output is correct
22 Correct 2 ms 336 KB Output is correct
23 Correct 3 ms 336 KB Output is correct
24 Correct 4 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 19 ms 976 KB Output is correct
28 Correct 23 ms 976 KB Output is correct
29 Correct 17 ms 976 KB Output is correct
30 Correct 20 ms 976 KB Output is correct
31 Correct 18 ms 976 KB Output is correct
32 Correct 1 ms 208 KB Output is correct
33 Correct 117 ms 43352 KB Output is correct
34 Correct 164 ms 74540 KB Output is correct
35 Correct 170 ms 75812 KB Output is correct
36 Correct 172 ms 74640 KB Output is correct
37 Correct 192 ms 75308 KB Output is correct
38 Correct 205 ms 75820 KB Output is correct
39 Correct 0 ms 208 KB Output is correct
40 Correct 0 ms 208 KB Output is correct
41 Correct 0 ms 208 KB Output is correct
42 Correct 282 ms 34296 KB Output is correct
43 Correct 1034 ms 74756 KB Output is correct
44 Correct 466 ms 12556 KB Output is correct
45 Correct 961 ms 74652 KB Output is correct
46 Correct 591 ms 25912 KB Output is correct
47 Correct 1065 ms 74648 KB Output is correct
48 Correct 931 ms 75712 KB Output is correct
49 Correct 1162 ms 75784 KB Output is correct
50 Correct 1331 ms 75808 KB Output is correct
51 Correct 1108 ms 74544 KB Output is correct
52 Correct 1256 ms 75204 KB Output is correct
53 Correct 944 ms 75900 KB Output is correct
54 Correct 1084 ms 75816 KB Output is correct
55 Correct 0 ms 208 KB Output is correct
56 Correct 214 ms 74360 KB Output is correct
57 Correct 1037 ms 74664 KB Output is correct
58 Correct 543 ms 13264 KB Output is correct
59 Correct 1095 ms 74648 KB Output is correct
60 Correct 381 ms 26716 KB Output is correct
61 Correct 959 ms 74672 KB Output is correct
62 Correct 814 ms 75760 KB Output is correct
63 Correct 1256 ms 75796 KB Output is correct
64 Correct 1258 ms 75248 KB Output is correct
65 Correct 1014 ms 74652 KB Output is correct
66 Correct 1585 ms 75304 KB Output is correct
67 Correct 1260 ms 75812 KB Output is correct
68 Correct 1295 ms 75816 KB Output is correct
69 Correct 0 ms 208 KB Output is correct
70 Correct 1 ms 208 KB Output is correct
71 Correct 3 ms 336 KB Output is correct
72 Correct 3 ms 336 KB Output is correct
73 Correct 3 ms 336 KB Output is correct
74 Correct 4 ms 336 KB Output is correct
75 Correct 3 ms 336 KB Output is correct
76 Correct 0 ms 208 KB Output is correct
77 Correct 1 ms 208 KB Output is correct
78 Correct 2 ms 208 KB Output is correct
79 Correct 3 ms 336 KB Output is correct
80 Correct 4 ms 336 KB Output is correct
81 Correct 2 ms 336 KB Output is correct
82 Correct 3 ms 336 KB Output is correct
83 Correct 3 ms 348 KB Output is correct
84 Correct 1 ms 336 KB Output is correct
85 Correct 3 ms 336 KB Output is correct
86 Correct 17 ms 976 KB Output is correct
87 Correct 18 ms 976 KB Output is correct
88 Correct 26 ms 976 KB Output is correct
89 Correct 21 ms 976 KB Output is correct
90 Correct 19 ms 976 KB Output is correct
91 Correct 0 ms 336 KB Output is correct
92 Correct 1 ms 464 KB Output is correct
93 Correct 18 ms 976 KB Output is correct
94 Correct 19 ms 976 KB Output is correct
95 Correct 19 ms 976 KB Output is correct
96 Correct 19 ms 976 KB Output is correct
97 Correct 20 ms 976 KB Output is correct
98 Correct 1 ms 208 KB Output is correct
99 Correct 172 ms 74600 KB Output is correct
100 Correct 168 ms 74668 KB Output is correct
101 Correct 181 ms 75816 KB Output is correct
102 Correct 170 ms 74720 KB Output is correct
103 Correct 196 ms 75204 KB Output is correct
104 Correct 176 ms 75808 KB Output is correct
105 Correct 0 ms 208 KB Output is correct
106 Correct 96 ms 43244 KB Output is correct
107 Correct 187 ms 74740 KB Output is correct
108 Correct 185 ms 75808 KB Output is correct
109 Correct 164 ms 74652 KB Output is correct
110 Correct 203 ms 75240 KB Output is correct
111 Correct 176 ms 75824 KB Output is correct
# 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 214 ms 60520 KB Output is correct
4 Correct 890 ms 75800 KB Output is correct
5 Correct 674 ms 38336 KB Output is correct
6 Correct 839 ms 75796 KB Output is correct
7 Correct 766 ms 52160 KB Output is correct
8 Correct 935 ms 75812 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 8 ms 896 KB Output is correct
15 Correct 4 ms 624 KB Output is correct
16 Correct 8 ms 848 KB Output is correct
17 Correct 2 ms 420 KB Output is correct
18 Correct 8 ms 868 KB Output is correct
19 Correct 3 ms 336 KB Output is correct
20 Correct 9 ms 1404 KB Output is correct
21 Correct 9 ms 1096 KB Output is correct
22 Correct 8 ms 976 KB Output is correct
23 Correct 14 ms 1656 KB Output is correct
24 Correct 10 ms 1360 KB Output is correct
25 Correct 6 ms 592 KB Output is correct
26 Correct 1 ms 208 KB Output is correct
27 Correct 1 ms 208 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 3 ms 336 KB Output is correct
30 Correct 3 ms 336 KB Output is correct
31 Correct 2 ms 336 KB Output is correct
32 Correct 2 ms 336 KB Output is correct
33 Correct 1 ms 256 KB Output is correct
34 Correct 0 ms 208 KB Output is correct
35 Correct 2 ms 208 KB Output is correct
36 Correct 2 ms 336 KB Output is correct
37 Correct 3 ms 336 KB Output is correct
38 Correct 3 ms 336 KB Output is correct
39 Correct 3 ms 336 KB Output is correct
40 Correct 4 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 284 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 0 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 208 KB Output is correct
53 Correct 10 ms 968 KB Output is correct
54 Correct 5 ms 592 KB Output is correct
55 Correct 9 ms 848 KB Output is correct
56 Correct 2 ms 464 KB Output is correct
57 Correct 7 ms 840 KB Output is correct
58 Correct 2 ms 336 KB Output is correct
59 Correct 9 ms 1232 KB Output is correct
60 Correct 8 ms 1104 KB Output is correct
61 Correct 8 ms 856 KB Output is correct
62 Correct 13 ms 1704 KB Output is correct
63 Correct 12 ms 1332 KB Output is correct
64 Correct 6 ms 644 KB Output is correct
65 Correct 1 ms 336 KB Output is correct
66 Correct 491 ms 39220 KB Output is correct
67 Correct 841 ms 62252 KB Output is correct
68 Correct 79 ms 6952 KB Output is correct
69 Correct 772 ms 63500 KB Output is correct
70 Correct 62 ms 3984 KB Output is correct
71 Correct 778 ms 61184 KB Output is correct
72 Correct 18 ms 976 KB Output is correct
73 Correct 815 ms 118700 KB Output is correct
74 Correct 912 ms 123156 KB Output is correct
75 Correct 821 ms 62240 KB Output is correct
76 Correct 1756 ms 158800 KB Output is correct
77 Correct 1134 ms 115840 KB Output is correct
78 Correct 914 ms 98576 KB Output is correct
79 Correct 0 ms 208 KB Output is correct
80 Correct 1 ms 208 KB Output is correct
81 Correct 2 ms 336 KB Output is correct
82 Correct 2 ms 336 KB Output is correct
83 Correct 4 ms 336 KB Output is correct
84 Correct 3 ms 336 KB Output is correct
85 Correct 3 ms 336 KB Output is correct
86 Correct 0 ms 208 KB Output is correct
87 Correct 1 ms 208 KB Output is correct
88 Correct 2 ms 208 KB Output is correct
89 Correct 3 ms 336 KB Output is correct
90 Correct 3 ms 336 KB Output is correct
91 Correct 2 ms 336 KB Output is correct
92 Correct 3 ms 336 KB Output is correct
93 Correct 3 ms 336 KB Output is correct
94 Correct 0 ms 208 KB Output is correct
95 Correct 0 ms 336 KB Output is correct
96 Correct 1 ms 336 KB Output is correct
97 Correct 1 ms 376 KB Output is correct
98 Correct 1 ms 372 KB Output is correct
99 Correct 1 ms 336 KB Output is correct
100 Correct 1 ms 336 KB Output is correct
101 Correct 0 ms 336 KB Output is correct
102 Correct 2 ms 336 KB Output is correct
103 Correct 15 ms 976 KB Output is correct
104 Correct 20 ms 976 KB Output is correct
105 Correct 24 ms 976 KB Output is correct
106 Correct 20 ms 976 KB Output is correct
107 Correct 11 ms 1056 KB Output is correct
108 Correct 1 ms 336 KB Output is correct
109 Correct 1 ms 464 KB Output is correct
110 Correct 19 ms 976 KB Output is correct
111 Correct 12 ms 976 KB Output is correct
112 Correct 17 ms 976 KB Output is correct
113 Correct 24 ms 976 KB Output is correct
114 Correct 16 ms 976 KB Output is correct
115 Correct 0 ms 336 KB Output is correct
116 Correct 1 ms 592 KB Output is correct
117 Correct 3 ms 1104 KB Output is correct
118 Correct 3 ms 1360 KB Output is correct
119 Correct 4 ms 1104 KB Output is correct
120 Correct 5 ms 1516 KB Output is correct
121 Correct 3 ms 1232 KB Output is correct
122 Correct 1 ms 208 KB Output is correct
123 Correct 0 ms 208 KB Output is correct
124 Correct 0 ms 208 KB Output is correct
125 Correct 0 ms 208 KB Output is correct
126 Correct 172 ms 64392 KB Output is correct
127 Correct 279 ms 85096 KB Output is correct
128 Correct 97 ms 38416 KB Output is correct
129 Correct 284 ms 87812 KB Output is correct
130 Correct 43 ms 13276 KB Output is correct
131 Correct 217 ms 78732 KB Output is correct
132 Correct 171 ms 75824 KB Output is correct
133 Correct 445 ms 108836 KB Output is correct
134 Correct 290 ms 95800 KB Output is correct
135 Correct 261 ms 81952 KB Output is correct
136 Correct 476 ms 111224 KB Output is correct
137 Correct 390 ms 102644 KB Output is correct
138 Correct 511 ms 117100 KB Output is correct
139 Correct 0 ms 208 KB Output is correct
140 Correct 0 ms 336 KB Output is correct
141 Correct 1 ms 336 KB Output is correct
142 Correct 1 ms 336 KB Output is correct
143 Correct 1 ms 336 KB Output is correct
144 Correct 1 ms 336 KB Output is correct
145 Correct 1 ms 336 KB Output is correct
146 Correct 1 ms 336 KB Output is correct
147 Correct 1 ms 592 KB Output is correct
148 Correct 3 ms 1104 KB Output is correct
149 Correct 4 ms 1360 KB Output is correct
150 Correct 3 ms 1104 KB Output is correct
151 Correct 4 ms 1488 KB Output is correct
152 Correct 3 ms 1232 KB Output is correct
153 Correct 0 ms 208 KB Output is correct
154 Correct 165 ms 74524 KB Output is correct
155 Correct 197 ms 74776 KB Output is correct
156 Correct 164 ms 75832 KB Output is correct
157 Correct 164 ms 74672 KB Output is correct
158 Correct 214 ms 75288 KB Output is correct
159 Correct 163 ms 75792 KB Output is correct
160 Correct 0 ms 208 KB Output is correct
161 Correct 111 ms 43416 KB Output is correct
162 Correct 184 ms 74696 KB Output is correct
163 Correct 164 ms 75780 KB Output is correct
164 Correct 174 ms 74672 KB Output is correct
165 Correct 218 ms 75288 KB Output is correct
166 Correct 176 ms 75724 KB Output is correct
167 Correct 0 ms 208 KB Output is correct
168 Correct 1 ms 208 KB Output is correct
169 Correct 0 ms 208 KB Output is correct
170 Correct 257 ms 34292 KB Output is correct
171 Correct 1061 ms 74644 KB Output is correct
172 Correct 630 ms 12496 KB Output is correct
173 Correct 987 ms 74648 KB Output is correct
174 Correct 517 ms 25824 KB Output is correct
175 Correct 1070 ms 74572 KB Output is correct
176 Correct 899 ms 75812 KB Output is correct
177 Correct 1112 ms 75852 KB Output is correct
178 Correct 1441 ms 75812 KB Output is correct
179 Correct 1014 ms 74664 KB Output is correct
180 Correct 1423 ms 75304 KB Output is correct
181 Correct 978 ms 75784 KB Output is correct
182 Correct 968 ms 75752 KB Output is correct
183 Correct 0 ms 208 KB Output is correct
184 Correct 0 ms 208 KB Output is correct
185 Correct 2 ms 208 KB Output is correct
186 Correct 4 ms 336 KB Output is correct
187 Correct 2 ms 336 KB Output is correct
188 Correct 2 ms 336 KB Output is correct
189 Correct 3 ms 336 KB Output is correct
190 Correct 4 ms 336 KB Output is correct
191 Correct 1 ms 336 KB Output is correct
192 Correct 1 ms 464 KB Output is correct
193 Correct 19 ms 976 KB Output is correct
194 Correct 23 ms 976 KB Output is correct
195 Correct 17 ms 976 KB Output is correct
196 Correct 20 ms 976 KB Output is correct
197 Correct 18 ms 976 KB Output is correct
198 Correct 1 ms 208 KB Output is correct
199 Correct 117 ms 43352 KB Output is correct
200 Correct 164 ms 74540 KB Output is correct
201 Correct 170 ms 75812 KB Output is correct
202 Correct 172 ms 74640 KB Output is correct
203 Correct 192 ms 75308 KB Output is correct
204 Correct 205 ms 75820 KB Output is correct
205 Correct 0 ms 208 KB Output is correct
206 Correct 0 ms 208 KB Output is correct
207 Correct 0 ms 208 KB Output is correct
208 Correct 282 ms 34296 KB Output is correct
209 Correct 1034 ms 74756 KB Output is correct
210 Correct 466 ms 12556 KB Output is correct
211 Correct 961 ms 74652 KB Output is correct
212 Correct 591 ms 25912 KB Output is correct
213 Correct 1065 ms 74648 KB Output is correct
214 Correct 931 ms 75712 KB Output is correct
215 Correct 1162 ms 75784 KB Output is correct
216 Correct 1331 ms 75808 KB Output is correct
217 Correct 1108 ms 74544 KB Output is correct
218 Correct 1256 ms 75204 KB Output is correct
219 Correct 944 ms 75900 KB Output is correct
220 Correct 1084 ms 75816 KB Output is correct
221 Correct 0 ms 208 KB Output is correct
222 Correct 214 ms 74360 KB Output is correct
223 Correct 1037 ms 74664 KB Output is correct
224 Correct 543 ms 13264 KB Output is correct
225 Correct 1095 ms 74648 KB Output is correct
226 Correct 381 ms 26716 KB Output is correct
227 Correct 959 ms 74672 KB Output is correct
228 Correct 814 ms 75760 KB Output is correct
229 Correct 1256 ms 75796 KB Output is correct
230 Correct 1258 ms 75248 KB Output is correct
231 Correct 1014 ms 74652 KB Output is correct
232 Correct 1585 ms 75304 KB Output is correct
233 Correct 1260 ms 75812 KB Output is correct
234 Correct 1295 ms 75816 KB Output is correct
235 Correct 0 ms 208 KB Output is correct
236 Correct 1 ms 208 KB Output is correct
237 Correct 3 ms 336 KB Output is correct
238 Correct 3 ms 336 KB Output is correct
239 Correct 3 ms 336 KB Output is correct
240 Correct 4 ms 336 KB Output is correct
241 Correct 3 ms 336 KB Output is correct
242 Correct 0 ms 208 KB Output is correct
243 Correct 1 ms 208 KB Output is correct
244 Correct 2 ms 208 KB Output is correct
245 Correct 3 ms 336 KB Output is correct
246 Correct 4 ms 336 KB Output is correct
247 Correct 2 ms 336 KB Output is correct
248 Correct 3 ms 336 KB Output is correct
249 Correct 3 ms 348 KB Output is correct
250 Correct 1 ms 336 KB Output is correct
251 Correct 3 ms 336 KB Output is correct
252 Correct 17 ms 976 KB Output is correct
253 Correct 18 ms 976 KB Output is correct
254 Correct 26 ms 976 KB Output is correct
255 Correct 21 ms 976 KB Output is correct
256 Correct 19 ms 976 KB Output is correct
257 Correct 0 ms 336 KB Output is correct
258 Correct 1 ms 464 KB Output is correct
259 Correct 18 ms 976 KB Output is correct
260 Correct 19 ms 976 KB Output is correct
261 Correct 19 ms 976 KB Output is correct
262 Correct 19 ms 976 KB Output is correct
263 Correct 20 ms 976 KB Output is correct
264 Correct 1 ms 208 KB Output is correct
265 Correct 172 ms 74600 KB Output is correct
266 Correct 168 ms 74668 KB Output is correct
267 Correct 181 ms 75816 KB Output is correct
268 Correct 170 ms 74720 KB Output is correct
269 Correct 196 ms 75204 KB Output is correct
270 Correct 176 ms 75808 KB Output is correct
271 Correct 0 ms 208 KB Output is correct
272 Correct 96 ms 43244 KB Output is correct
273 Correct 187 ms 74740 KB Output is correct
274 Correct 185 ms 75808 KB Output is correct
275 Correct 164 ms 74652 KB Output is correct
276 Correct 203 ms 75240 KB Output is correct
277 Correct 176 ms 75824 KB Output is correct
278 Correct 0 ms 208 KB Output is correct
279 Correct 1 ms 208 KB Output is correct
280 Correct 0 ms 208 KB Output is correct
281 Correct 215 ms 60620 KB Output is correct
282 Correct 1105 ms 75748 KB Output is correct
283 Correct 797 ms 38352 KB Output is correct
284 Correct 992 ms 75792 KB Output is correct
285 Correct 587 ms 52240 KB Output is correct
286 Correct 884 ms 75800 KB Output is correct
287 Correct 0 ms 208 KB Output is correct
288 Correct 1 ms 208 KB Output is correct
289 Correct 0 ms 208 KB Output is correct
290 Correct 2 ms 208 KB Output is correct
291 Correct 8 ms 1016 KB Output is correct
292 Correct 7 ms 588 KB Output is correct
293 Correct 10 ms 848 KB Output is correct
294 Correct 3 ms 460 KB Output is correct
295 Correct 8 ms 848 KB Output is correct
296 Correct 2 ms 336 KB Output is correct
297 Correct 12 ms 1260 KB Output is correct
298 Correct 9 ms 1180 KB Output is correct
299 Correct 8 ms 936 KB Output is correct
300 Correct 12 ms 1660 KB Output is correct
301 Correct 10 ms 1360 KB Output is correct
302 Correct 5 ms 640 KB Output is correct
303 Correct 1 ms 336 KB Output is correct
304 Correct 431 ms 39260 KB Output is correct
305 Correct 739 ms 62320 KB Output is correct
306 Correct 88 ms 7008 KB Output is correct
307 Correct 732 ms 63524 KB Output is correct
308 Correct 61 ms 4052 KB Output is correct
309 Correct 719 ms 61192 KB Output is correct
310 Correct 24 ms 976 KB Output is correct
311 Correct 824 ms 118716 KB Output is correct
312 Correct 908 ms 123140 KB Output is correct
313 Correct 853 ms 62232 KB Output is correct
314 Correct 1755 ms 158844 KB Output is correct
315 Correct 1107 ms 115772 KB Output is correct
316 Correct 892 ms 98636 KB Output is correct
317 Correct 0 ms 208 KB Output is correct
318 Correct 0 ms 208 KB Output is correct
319 Correct 0 ms 208 KB Output is correct
320 Correct 173 ms 64476 KB Output is correct
321 Correct 254 ms 85020 KB Output is correct
322 Correct 87 ms 38348 KB Output is correct
323 Correct 291 ms 87828 KB Output is correct
324 Correct 40 ms 13256 KB Output is correct
325 Correct 200 ms 78676 KB Output is correct
326 Correct 175 ms 75732 KB Output is correct
327 Correct 428 ms 108748 KB Output is correct
328 Correct 298 ms 95812 KB Output is correct
329 Correct 242 ms 82012 KB Output is correct
330 Correct 435 ms 111364 KB Output is correct
331 Correct 383 ms 102608 KB Output is correct
332 Correct 491 ms 117068 KB Output is correct
333 Correct 0 ms 208 KB Output is correct
334 Correct 0 ms 208 KB Output is correct
335 Correct 0 ms 208 KB Output is correct
336 Correct 284 ms 34188 KB Output is correct
337 Correct 913 ms 74660 KB Output is correct
338 Correct 525 ms 12496 KB Output is correct
339 Correct 995 ms 74568 KB Output is correct
340 Correct 573 ms 25904 KB Output is correct
341 Correct 961 ms 74568 KB Output is correct
342 Correct 906 ms 75784 KB Output is correct
343 Correct 1142 ms 75724 KB Output is correct
344 Correct 1260 ms 75756 KB Output is correct
345 Correct 1012 ms 74780 KB Output is correct
346 Correct 1433 ms 75304 KB Output is correct
347 Correct 1041 ms 75864 KB Output is correct
348 Correct 825 ms 75792 KB Output is correct
349 Correct 0 ms 208 KB Output is correct
350 Correct 229 ms 74372 KB Output is correct
351 Correct 1082 ms 74784 KB Output is correct
352 Correct 361 ms 13264 KB Output is correct
353 Correct 1069 ms 74568 KB Output is correct
354 Correct 451 ms 26708 KB Output is correct
355 Correct 1064 ms 74568 KB Output is correct
356 Correct 950 ms 75796 KB Output is correct
357 Correct 1210 ms 75724 KB Output is correct
358 Correct 1190 ms 75184 KB Output is correct
359 Correct 1101 ms 74668 KB Output is correct
360 Correct 1605 ms 75204 KB Output is correct
361 Correct 1229 ms 75720 KB Output is correct
362 Correct 1182 ms 75924 KB Output is correct
363 Correct 1 ms 208 KB Output is correct
364 Execution timed out 4061 ms 474304 KB Time limit exceeded
365 Halted 0 ms 0 KB -