Submission #755150

# Submission time Handle Problem Language Result Execution time Memory
755150 2023-06-09T12:49:36 Z boris_mihov Radio Towers (IOI22_towers) C++17
100 / 100
2193 ms 57120 KB
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <stack>

typedef long long llong;
const int MAXLOG = 20 + 5;
const int MAXN = 100000 + 10;
const int INF  = 1e9;

int n;
struct MST
{
    std::vector <int> tree[4*MAXN];
    void build(int l, int r, int node, int vals[])
    {
        if (l == r)
        {
            tree[node].push_back(vals[l]);
            return;
        }

        int mid = (l + r) / 2;
        build(l, mid, 2*node, vals);
        build(mid + 1, r, 2*node + 1, vals);
        tree[node].reserve(r - l + 1);

        int lPtr = 0, rPtr = 0;
        for (int i = l ; i <= r ; ++i)
        {
            if (lPtr == tree[2*node].size())
            {
                tree[node].push_back(tree[2*node + 1][rPtr++]);
                continue;
            }

            if (rPtr == tree[2*node + 1].size())
            {
                tree[node].push_back(tree[2*node][lPtr++]);
                continue;
            }

            if (tree[2*node][lPtr] < tree[2*node + 1][rPtr])
            {
                tree[node].push_back(tree[2*node][lPtr++]);
            } else
            {
                tree[node].push_back(tree[2*node + 1][rPtr++]);
            }
        }
    }

    int binaryCount(int node, int val)
    {
        int l = -1, r = tree[node].size(), mid;
        while (l < r - 1)
        {
            mid = (l + r) / 2;
            if (tree[node][mid] <= val) l = mid;
            else r = mid;
        }

        return r;
    }

    int binaryFirst(int node, int val)
    {
        int l = -1, r = tree[node].size(), mid;
        while (l < r - 1)
        {
            mid = (l + r) / 2;
            if (tree[node][mid] < val) l = mid;
            else r = mid;
        }

        return (r == tree[node].size() ? INF : tree[node][r]);
    }

    int binaryLast(int node, int val)
    {
        int l = -1, r = tree[node].size(), mid;
        while (l < r - 1)
        {
            mid = (l + r) / 2;
            if (tree[node][mid] <= val) l = mid;
            else r = mid;
        }

        return (l == -1 ? 0 : tree[node][l]);
    }

    int queryCount(int l, int r, int node, int queryL, int queryR, int queryValL, int queryValR)
    {
        if (queryL <= l && r <= queryR)
        {
            return binaryCount(node, queryValR) - binaryCount(node, queryValL - 1);
        }

        int res = 0;
        int mid = (l + r) / 2;
        if (queryL <= mid) res += queryCount(l, mid, 2*node, queryL, queryR, queryValL, queryValR);
        if (mid + 1 <= queryR) res += queryCount(mid + 1, r, 2*node + 1, queryL, queryR, queryValL, queryValR);
        return res;
    }

    int queryFirst(int l, int r, int node, int queryL, int queryR, int queryVal)
    {
        if (queryL <= l && r <= queryR)
        {
            return binaryFirst(node, queryVal);
        }

        int res = INF;
        int mid = (l + r) / 2;
        if (queryL <= mid) res = std::min(res, queryFirst(l, mid, 2*node, queryL, queryR, queryVal));
        if (mid + 1 <= queryR) res = std::min(res, queryFirst(mid + 1, r, 2*node + 1, queryL, queryR, queryVal));
        return res;
    }

    int queryLast(int l, int r, int node, int queryL, int queryR, int queryVal)
    {
        if (queryL <= l && r <= queryR)
        {
            return binaryLast(node, queryVal);
        }

        int res = 0;
        int mid = (l + r) / 2;
        if (queryL <= mid) res = std::max(res, queryLast(l, mid, 2*node, queryL, queryR, queryVal));
        if (mid + 1 <= queryR) res = std::max(res, queryLast(mid + 1, r, 2*node + 1, queryL, queryR, queryVal));
        return res;
    }

    void build(int vals[])
    {
        build(1, n, 1, vals);
    }

    int queryCount(int to, int l, int r)
    {
        return queryCount(1, n, 1, 1, to, l, r);
    }

    int queryFirst(int to, int l)
    {
        return queryFirst(1, n, 1, 1, to, l);
    }

    int queryLast(int to, int r)
    {
        return queryLast(1, n, 1, 1, to, r);
    }
};

MST left, right;
struct SparseMAX
{
    int sparseMAX[MAXLOG][MAXN];
    int vals[MAXN];
    int lg[MAXN];

    int cmp(int x, int y)
    {
        if (vals[x] > vals[y]) return x;
        return y;
    }

    void build(int _vals[])
    {
        for (int i = 1 ; i <= n ; ++i)
        {
            sparseMAX[0][i] = i;
            vals[i] = _vals[i];
        }

        for (int log = 1 ; (1 << log) <= n ; ++log)
        {
            for (int i = 1 ; i + (1 << log) - 1 <= n ; ++i)
            {
                sparseMAX[log][i] = cmp(sparseMAX[log - 1][i], sparseMAX[log - 1][i + (1 << log - 1)]);
            }
        }
    
        for (int i = 1 ; i <= n ; ++i)
        {
            lg[i] = lg[i - 1];
            if ((1 << lg[i] + 1) < i)
            {
                lg[i]++;
            }
        }
    }

    int findMAX(int l, int r)
    {
        int log = lg[r - l + 1];
        return vals[cmp(sparseMAX[log][l], sparseMAX[log][r - (1 << log) + 1])];
    }

    int findIDX(int l, int r)
    {
        int log = lg[r - l + 1];
        return cmp(sparseMAX[log][l], sparseMAX[log][r - (1 << log) + 1]);
    }
};

struct SegmentTree
{
    struct Node
    {
        int max;
        int min;
        int maxDiffL;
        int maxDiffR;
        
        Node()
        {
            max = -1;
        }
    };

    Node combine(Node left, Node right)
    {
        if (left.max == -1)
        {
            return right;
        }

        Node res;
        res.min = std::min(left.min, right.min);
        res.max = std::max(left.max, right.max);
        res.maxDiffL = std::max(left.maxDiffL, right.maxDiffL);
        res.maxDiffR = std::max(left.maxDiffR, right.maxDiffR);
        res.maxDiffL = std::max(res.maxDiffL, right.max - left.min);
        res.maxDiffR = std::max(res.maxDiffR, left.max - right.min);
        return res;
    }

    Node tree[4*MAXN];
    void build(int l, int r, int node, int vals[])
    {
        if (l == r)
        {
            tree[node].min = vals[l];
            tree[node].max = vals[l];
            tree[node].maxDiffL = 0;
            tree[node].maxDiffR = 0;
            return;
        }

        int mid = (l + r) / 2;
        build(l, mid, 2*node, vals);
        build(mid + 1, r, 2*node + 1, vals);
        tree[node] = combine(tree[2*node], tree[2*node + 1]);
    }    

    Node query(int l, int r, int node, int queryL, int queryR)
    {
        if (queryL <= l && r <= queryR)
        {
            return tree[node];
        }

        Node res;
        int mid = (l + r) / 2;
        if (queryL <= mid) res = combine(res, query(l, mid, 2*node, queryL, queryR));
        if (mid + 1 <= queryR) res = combine(res, query(mid + 1, r, 2*node + 1, queryL, queryR));
        return res;
    }

    void build(int vals[])
    {
        build(1, n, 1, vals);
    }

    int queryL(int l, int r)
    {
        return query(1, n, 1, l, r).maxDiffL;
    }

    int queryR(int l, int r)
    {
        return query(1, n, 1, l, r).maxDiffR;
    }
};

int a[MAXN];
int b[MAXN];
int c[MAXN];
int d[MAXN];
int h[MAXN];
int perm[MAXN];
int cost[MAXN];
SparseMAX sparseMAX;
SegmentTree maxDiff;
std::stack <int> st;
std::vector <int> v;
MST tree;

void init(int N, std::vector <int> H) 
{
    n = N;
    for (int i = 1 ; i <= n ; ++i)
    {
        h[i] = H[i - 1];
    }

    sparseMAX.build(h);
    st.push(0);

    for (int i = 1 ; i <= n ; ++i)
    {
        while (h[st.top()] > h[i])
        {
            st.pop();
        }

        a[i] = st.top();
        st.push(i);
    }


    while (!st.empty())
    {
        st.pop();
    }

    st.push(n + 1);
    for (int i = n ; i >= 1 ; --i)
    {
        while (h[st.top()] > h[i])
        {
            st.pop();
        }

        c[i] = st.top();
        st.push(i);
    }

    for (int i = 1 ; i <= n ; ++i)
    {
        if (a[i] == i - 1)
        {
            b[i] = 0;   
        } else
        {
            b[i] = sparseMAX.findMAX(a[i] + 1, i - 1) - h[i];
        }

        if (c[i] == i + 1)
        {
            d[i] = 0;
        } else
        {
            d[i] = sparseMAX.findMAX(i + 1, c[i] - 1) - h[i];
        }
    }

    for (int i = 1 ; i <= n ; ++i)
    {
        cost[i] = INF; 
        if (a[i] > 0) cost[i] = std::min(cost[i], b[i]);
        if (c[i] < n + 1) cost[i] = std::min(cost[i], d[i]);
    }

    std::iota(perm + 1, perm + 1 + n, 1);
    std::sort(perm + 1, perm + 1 + n, [&](const int &x, const int &y)
    {
        return cost[x] > cost[y];
    });

    tree.build(perm);
    maxDiff.build(h);
}

int max_towers(int L, int R, int D) 
{
    L++; R++;
    int l = 0, r = n + 1, mid;
    while (l < r - 1)
    {
        mid = (l + r) / 2;
        if (cost[perm[mid]] >= D) l = mid;
        else r = mid;
    }

    if (l == 0)
    {
        return 1;
    }

    int cnt = tree.queryCount(l, L, R);
    if (cnt == 0)
    {
        l = L - 1;
        r = R + 1;
        while (l < r - 1)
        {
            mid = (l + r) / 2;
            if (maxDiff.queryL(L, mid) >= D && maxDiff.queryR(mid, R) >= D)
            {
                return 2;
            }

            if (maxDiff.queryL(L, mid) < D) l = mid;
            else r = mid;
        }

        return 1;
    }

    int first = tree.queryFirst(l, L);
    int last = tree.queryLast(l, R);

    l = L, r = first;
    while (l < r - 1)
    {
        mid = (l + r) / 2;
        if (sparseMAX.findMAX(mid, first - 1) < h[first] + D) r = mid;
        else l = mid;
    }

    if (maxDiff.queryL(L, l) >= D)
    {
        cnt++;
    }

    l = last, r = R;
    while (l < r - 1)
    {
        mid = (l + r) / 2;
        if (sparseMAX.findMAX(last + 1, mid) < h[last] + D) l = mid;
        else r = mid;
    }

    if (maxDiff.queryR(r, R) >= D)
    {
        cnt++;
    }

    return cnt;
}

Compilation message

towers.cpp: In member function 'void MST::build(int, int, int, int*)':
towers.cpp:33:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   33 |             if (lPtr == tree[2*node].size())
      |                 ~~~~~^~~~~~~~~~~~~~~~~~~~~~
towers.cpp:39:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |             if (rPtr == tree[2*node + 1].size())
      |                 ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
towers.cpp: In member function 'int MST::binaryFirst(int, int)':
towers.cpp:78:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   78 |         return (r == tree[node].size() ? INF : tree[node][r]);
      |                 ~~^~~~~~~~~~~~~~~~~~~~
towers.cpp: In member function 'void SparseMAX::build(int*)':
towers.cpp:182:97: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
  182 |                 sparseMAX[log][i] = cmp(sparseMAX[log - 1][i], sparseMAX[log - 1][i + (1 << log - 1)]);
      |                                                                                             ~~~~^~~
towers.cpp:189:29: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
  189 |             if ((1 << lg[i] + 1) < i)
      |                       ~~~~~~^~~
# Verdict Execution time Memory Grader output
1 Correct 822 ms 47612 KB Output is correct
2 Correct 2115 ms 56612 KB Output is correct
3 Correct 1642 ms 56688 KB Output is correct
4 Correct 1924 ms 56692 KB Output is correct
5 Correct 1819 ms 57112 KB Output is correct
6 Correct 1833 ms 56648 KB Output is correct
7 Correct 1758 ms 57056 KB Output is correct
8 Correct 18 ms 34768 KB Output is correct
9 Correct 23 ms 35152 KB Output is correct
10 Correct 20 ms 35112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 34784 KB Output is correct
2 Correct 20 ms 35132 KB Output is correct
3 Correct 19 ms 35152 KB Output is correct
4 Correct 20 ms 35152 KB Output is correct
5 Correct 19 ms 35144 KB Output is correct
6 Correct 20 ms 35088 KB Output is correct
7 Correct 19 ms 35152 KB Output is correct
8 Correct 20 ms 35160 KB Output is correct
9 Correct 19 ms 35152 KB Output is correct
10 Correct 19 ms 35152 KB Output is correct
11 Correct 19 ms 35168 KB Output is correct
12 Correct 19 ms 34760 KB Output is correct
13 Correct 20 ms 35152 KB Output is correct
14 Correct 21 ms 35152 KB Output is correct
15 Correct 21 ms 35152 KB Output is correct
16 Correct 19 ms 35152 KB Output is correct
17 Correct 19 ms 35152 KB Output is correct
18 Correct 19 ms 35152 KB Output is correct
19 Correct 19 ms 35152 KB Output is correct
20 Correct 19 ms 35152 KB Output is correct
21 Correct 19 ms 35152 KB Output is correct
22 Correct 20 ms 35152 KB Output is correct
23 Correct 19 ms 35116 KB Output is correct
24 Correct 19 ms 35152 KB Output is correct
25 Correct 19 ms 34856 KB Output is correct
26 Correct 19 ms 35152 KB Output is correct
27 Correct 19 ms 35056 KB Output is correct
28 Correct 18 ms 35152 KB Output is correct
29 Correct 19 ms 35152 KB Output is correct
30 Correct 18 ms 35144 KB Output is correct
31 Correct 20 ms 35156 KB Output is correct
32 Correct 18 ms 35160 KB Output is correct
33 Correct 19 ms 35152 KB Output is correct
34 Correct 19 ms 35096 KB Output is correct
35 Correct 19 ms 35152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 34784 KB Output is correct
2 Correct 20 ms 35132 KB Output is correct
3 Correct 19 ms 35152 KB Output is correct
4 Correct 20 ms 35152 KB Output is correct
5 Correct 19 ms 35144 KB Output is correct
6 Correct 20 ms 35088 KB Output is correct
7 Correct 19 ms 35152 KB Output is correct
8 Correct 20 ms 35160 KB Output is correct
9 Correct 19 ms 35152 KB Output is correct
10 Correct 19 ms 35152 KB Output is correct
11 Correct 19 ms 35168 KB Output is correct
12 Correct 19 ms 34760 KB Output is correct
13 Correct 20 ms 35152 KB Output is correct
14 Correct 21 ms 35152 KB Output is correct
15 Correct 21 ms 35152 KB Output is correct
16 Correct 19 ms 35152 KB Output is correct
17 Correct 19 ms 35152 KB Output is correct
18 Correct 19 ms 35152 KB Output is correct
19 Correct 19 ms 35152 KB Output is correct
20 Correct 19 ms 35152 KB Output is correct
21 Correct 19 ms 35152 KB Output is correct
22 Correct 20 ms 35152 KB Output is correct
23 Correct 19 ms 35116 KB Output is correct
24 Correct 19 ms 35152 KB Output is correct
25 Correct 19 ms 34856 KB Output is correct
26 Correct 19 ms 35152 KB Output is correct
27 Correct 19 ms 35056 KB Output is correct
28 Correct 18 ms 35152 KB Output is correct
29 Correct 19 ms 35152 KB Output is correct
30 Correct 18 ms 35144 KB Output is correct
31 Correct 20 ms 35156 KB Output is correct
32 Correct 18 ms 35160 KB Output is correct
33 Correct 19 ms 35152 KB Output is correct
34 Correct 19 ms 35096 KB Output is correct
35 Correct 19 ms 35152 KB Output is correct
36 Correct 49 ms 48772 KB Output is correct
37 Correct 79 ms 56640 KB Output is correct
38 Correct 75 ms 56636 KB Output is correct
39 Correct 86 ms 56612 KB Output is correct
40 Correct 71 ms 56684 KB Output is correct
41 Correct 75 ms 56604 KB Output is correct
42 Correct 71 ms 56648 KB Output is correct
43 Correct 72 ms 56648 KB Output is correct
44 Correct 75 ms 57100 KB Output is correct
45 Correct 68 ms 56660 KB Output is correct
46 Correct 78 ms 56900 KB Output is correct
47 Correct 76 ms 56612 KB Output is correct
48 Correct 77 ms 56684 KB Output is correct
49 Correct 82 ms 56636 KB Output is correct
50 Correct 83 ms 57032 KB Output is correct
51 Correct 77 ms 56648 KB Output is correct
52 Correct 72 ms 56628 KB Output is correct
53 Correct 78 ms 56652 KB Output is correct
54 Correct 77 ms 56648 KB Output is correct
55 Correct 64 ms 57100 KB Output is correct
56 Correct 69 ms 56668 KB Output is correct
57 Correct 78 ms 55992 KB Output is correct
58 Correct 93 ms 56652 KB Output is correct
59 Correct 77 ms 56632 KB Output is correct
60 Correct 82 ms 56672 KB Output is correct
61 Correct 73 ms 56668 KB Output is correct
62 Correct 71 ms 56648 KB Output is correct
63 Correct 74 ms 56648 KB Output is correct
64 Correct 66 ms 56692 KB Output is correct
65 Correct 72 ms 57120 KB Output is correct
66 Correct 78 ms 56616 KB Output is correct
67 Correct 65 ms 57004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 911 ms 56580 KB Output is correct
2 Correct 1338 ms 56648 KB Output is correct
3 Correct 1110 ms 56660 KB Output is correct
4 Correct 1186 ms 56652 KB Output is correct
5 Correct 1179 ms 56636 KB Output is correct
6 Correct 913 ms 56776 KB Output is correct
7 Correct 1427 ms 56656 KB Output is correct
8 Correct 2193 ms 56700 KB Output is correct
9 Correct 1913 ms 57032 KB Output is correct
10 Correct 1332 ms 56652 KB Output is correct
11 Correct 1250 ms 56900 KB Output is correct
12 Correct 1937 ms 56636 KB Output is correct
13 Correct 1893 ms 57056 KB Output is correct
14 Correct 18 ms 34768 KB Output is correct
15 Correct 22 ms 35096 KB Output is correct
16 Correct 19 ms 35080 KB Output is correct
17 Correct 76 ms 56656 KB Output is correct
18 Correct 73 ms 56644 KB Output is correct
19 Correct 80 ms 56612 KB Output is correct
20 Correct 64 ms 57116 KB Output is correct
21 Correct 66 ms 56632 KB Output is correct
22 Correct 70 ms 56648 KB Output is correct
23 Correct 75 ms 56656 KB Output is correct
24 Correct 73 ms 56604 KB Output is correct
25 Correct 65 ms 57056 KB Output is correct
26 Correct 67 ms 56692 KB Output is correct
27 Correct 20 ms 35152 KB Output is correct
28 Correct 19 ms 35152 KB Output is correct
29 Correct 19 ms 35108 KB Output is correct
30 Correct 20 ms 35072 KB Output is correct
31 Correct 21 ms 35128 KB Output is correct
32 Correct 18 ms 35152 KB Output is correct
33 Correct 20 ms 35084 KB Output is correct
34 Correct 23 ms 35152 KB Output is correct
35 Correct 19 ms 35152 KB Output is correct
36 Correct 19 ms 35152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 384 ms 39700 KB Output is correct
2 Correct 1166 ms 56640 KB Output is correct
3 Correct 1497 ms 56584 KB Output is correct
4 Correct 1797 ms 56676 KB Output is correct
5 Correct 1330 ms 56664 KB Output is correct
6 Correct 1156 ms 56680 KB Output is correct
7 Correct 1195 ms 56664 KB Output is correct
8 Correct 1000 ms 56632 KB Output is correct
9 Correct 1094 ms 57056 KB Output is correct
10 Correct 1115 ms 56804 KB Output is correct
11 Correct 878 ms 56776 KB Output is correct
12 Correct 75 ms 56624 KB Output is correct
13 Correct 74 ms 56596 KB Output is correct
14 Correct 74 ms 56648 KB Output is correct
15 Correct 66 ms 57048 KB Output is correct
16 Correct 68 ms 56700 KB Output is correct
17 Correct 81 ms 55992 KB Output is correct
18 Correct 75 ms 56644 KB Output is correct
19 Correct 73 ms 56648 KB Output is correct
20 Correct 70 ms 56636 KB Output is correct
21 Correct 74 ms 56628 KB Output is correct
22 Correct 75 ms 56760 KB Output is correct
23 Correct 81 ms 56648 KB Output is correct
24 Correct 66 ms 56648 KB Output is correct
25 Correct 67 ms 57036 KB Output is correct
26 Correct 65 ms 56644 KB Output is correct
27 Correct 63 ms 57036 KB Output is correct
28 Correct 19 ms 35152 KB Output is correct
29 Correct 19 ms 35072 KB Output is correct
30 Correct 18 ms 35132 KB Output is correct
31 Correct 19 ms 35096 KB Output is correct
32 Correct 19 ms 35152 KB Output is correct
33 Correct 19 ms 34916 KB Output is correct
34 Correct 19 ms 35072 KB Output is correct
35 Correct 21 ms 35152 KB Output is correct
36 Correct 22 ms 35176 KB Output is correct
37 Correct 20 ms 35152 KB Output is correct
38 Correct 19 ms 35152 KB Output is correct
39 Correct 19 ms 35072 KB Output is correct
40 Correct 19 ms 35152 KB Output is correct
41 Correct 20 ms 35128 KB Output is correct
42 Correct 21 ms 35136 KB Output is correct
43 Correct 19 ms 35104 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 34784 KB Output is correct
2 Correct 20 ms 35132 KB Output is correct
3 Correct 19 ms 35152 KB Output is correct
4 Correct 20 ms 35152 KB Output is correct
5 Correct 19 ms 35144 KB Output is correct
6 Correct 20 ms 35088 KB Output is correct
7 Correct 19 ms 35152 KB Output is correct
8 Correct 20 ms 35160 KB Output is correct
9 Correct 19 ms 35152 KB Output is correct
10 Correct 19 ms 35152 KB Output is correct
11 Correct 19 ms 35168 KB Output is correct
12 Correct 19 ms 34760 KB Output is correct
13 Correct 20 ms 35152 KB Output is correct
14 Correct 21 ms 35152 KB Output is correct
15 Correct 21 ms 35152 KB Output is correct
16 Correct 19 ms 35152 KB Output is correct
17 Correct 19 ms 35152 KB Output is correct
18 Correct 19 ms 35152 KB Output is correct
19 Correct 19 ms 35152 KB Output is correct
20 Correct 19 ms 35152 KB Output is correct
21 Correct 19 ms 35152 KB Output is correct
22 Correct 20 ms 35152 KB Output is correct
23 Correct 19 ms 35116 KB Output is correct
24 Correct 19 ms 35152 KB Output is correct
25 Correct 19 ms 34856 KB Output is correct
26 Correct 19 ms 35152 KB Output is correct
27 Correct 19 ms 35056 KB Output is correct
28 Correct 18 ms 35152 KB Output is correct
29 Correct 19 ms 35152 KB Output is correct
30 Correct 18 ms 35144 KB Output is correct
31 Correct 20 ms 35156 KB Output is correct
32 Correct 18 ms 35160 KB Output is correct
33 Correct 19 ms 35152 KB Output is correct
34 Correct 19 ms 35096 KB Output is correct
35 Correct 19 ms 35152 KB Output is correct
36 Correct 49 ms 48772 KB Output is correct
37 Correct 79 ms 56640 KB Output is correct
38 Correct 75 ms 56636 KB Output is correct
39 Correct 86 ms 56612 KB Output is correct
40 Correct 71 ms 56684 KB Output is correct
41 Correct 75 ms 56604 KB Output is correct
42 Correct 71 ms 56648 KB Output is correct
43 Correct 72 ms 56648 KB Output is correct
44 Correct 75 ms 57100 KB Output is correct
45 Correct 68 ms 56660 KB Output is correct
46 Correct 78 ms 56900 KB Output is correct
47 Correct 76 ms 56612 KB Output is correct
48 Correct 77 ms 56684 KB Output is correct
49 Correct 82 ms 56636 KB Output is correct
50 Correct 83 ms 57032 KB Output is correct
51 Correct 77 ms 56648 KB Output is correct
52 Correct 72 ms 56628 KB Output is correct
53 Correct 78 ms 56652 KB Output is correct
54 Correct 77 ms 56648 KB Output is correct
55 Correct 64 ms 57100 KB Output is correct
56 Correct 69 ms 56668 KB Output is correct
57 Correct 78 ms 55992 KB Output is correct
58 Correct 93 ms 56652 KB Output is correct
59 Correct 77 ms 56632 KB Output is correct
60 Correct 82 ms 56672 KB Output is correct
61 Correct 73 ms 56668 KB Output is correct
62 Correct 71 ms 56648 KB Output is correct
63 Correct 74 ms 56648 KB Output is correct
64 Correct 66 ms 56692 KB Output is correct
65 Correct 72 ms 57120 KB Output is correct
66 Correct 78 ms 56616 KB Output is correct
67 Correct 65 ms 57004 KB Output is correct
68 Correct 911 ms 56580 KB Output is correct
69 Correct 1338 ms 56648 KB Output is correct
70 Correct 1110 ms 56660 KB Output is correct
71 Correct 1186 ms 56652 KB Output is correct
72 Correct 1179 ms 56636 KB Output is correct
73 Correct 913 ms 56776 KB Output is correct
74 Correct 1427 ms 56656 KB Output is correct
75 Correct 2193 ms 56700 KB Output is correct
76 Correct 1913 ms 57032 KB Output is correct
77 Correct 1332 ms 56652 KB Output is correct
78 Correct 1250 ms 56900 KB Output is correct
79 Correct 1937 ms 56636 KB Output is correct
80 Correct 1893 ms 57056 KB Output is correct
81 Correct 18 ms 34768 KB Output is correct
82 Correct 22 ms 35096 KB Output is correct
83 Correct 19 ms 35080 KB Output is correct
84 Correct 76 ms 56656 KB Output is correct
85 Correct 73 ms 56644 KB Output is correct
86 Correct 80 ms 56612 KB Output is correct
87 Correct 64 ms 57116 KB Output is correct
88 Correct 66 ms 56632 KB Output is correct
89 Correct 70 ms 56648 KB Output is correct
90 Correct 75 ms 56656 KB Output is correct
91 Correct 73 ms 56604 KB Output is correct
92 Correct 65 ms 57056 KB Output is correct
93 Correct 67 ms 56692 KB Output is correct
94 Correct 20 ms 35152 KB Output is correct
95 Correct 19 ms 35152 KB Output is correct
96 Correct 19 ms 35108 KB Output is correct
97 Correct 20 ms 35072 KB Output is correct
98 Correct 21 ms 35128 KB Output is correct
99 Correct 18 ms 35152 KB Output is correct
100 Correct 20 ms 35084 KB Output is correct
101 Correct 23 ms 35152 KB Output is correct
102 Correct 19 ms 35152 KB Output is correct
103 Correct 19 ms 35152 KB Output is correct
104 Correct 1054 ms 54160 KB Output is correct
105 Correct 1262 ms 56616 KB Output is correct
106 Correct 1038 ms 56644 KB Output is correct
107 Correct 995 ms 56672 KB Output is correct
108 Correct 1207 ms 56628 KB Output is correct
109 Correct 1298 ms 56648 KB Output is correct
110 Correct 1299 ms 56632 KB Output is correct
111 Correct 1807 ms 56736 KB Output is correct
112 Correct 1936 ms 57036 KB Output is correct
113 Correct 1819 ms 56652 KB Output is correct
114 Correct 1719 ms 56880 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 822 ms 47612 KB Output is correct
2 Correct 2115 ms 56612 KB Output is correct
3 Correct 1642 ms 56688 KB Output is correct
4 Correct 1924 ms 56692 KB Output is correct
5 Correct 1819 ms 57112 KB Output is correct
6 Correct 1833 ms 56648 KB Output is correct
7 Correct 1758 ms 57056 KB Output is correct
8 Correct 18 ms 34768 KB Output is correct
9 Correct 23 ms 35152 KB Output is correct
10 Correct 20 ms 35112 KB Output is correct
11 Correct 18 ms 34784 KB Output is correct
12 Correct 20 ms 35132 KB Output is correct
13 Correct 19 ms 35152 KB Output is correct
14 Correct 20 ms 35152 KB Output is correct
15 Correct 19 ms 35144 KB Output is correct
16 Correct 20 ms 35088 KB Output is correct
17 Correct 19 ms 35152 KB Output is correct
18 Correct 20 ms 35160 KB Output is correct
19 Correct 19 ms 35152 KB Output is correct
20 Correct 19 ms 35152 KB Output is correct
21 Correct 19 ms 35168 KB Output is correct
22 Correct 19 ms 34760 KB Output is correct
23 Correct 20 ms 35152 KB Output is correct
24 Correct 21 ms 35152 KB Output is correct
25 Correct 21 ms 35152 KB Output is correct
26 Correct 19 ms 35152 KB Output is correct
27 Correct 19 ms 35152 KB Output is correct
28 Correct 19 ms 35152 KB Output is correct
29 Correct 19 ms 35152 KB Output is correct
30 Correct 19 ms 35152 KB Output is correct
31 Correct 19 ms 35152 KB Output is correct
32 Correct 20 ms 35152 KB Output is correct
33 Correct 19 ms 35116 KB Output is correct
34 Correct 19 ms 35152 KB Output is correct
35 Correct 19 ms 34856 KB Output is correct
36 Correct 19 ms 35152 KB Output is correct
37 Correct 19 ms 35056 KB Output is correct
38 Correct 18 ms 35152 KB Output is correct
39 Correct 19 ms 35152 KB Output is correct
40 Correct 18 ms 35144 KB Output is correct
41 Correct 20 ms 35156 KB Output is correct
42 Correct 18 ms 35160 KB Output is correct
43 Correct 19 ms 35152 KB Output is correct
44 Correct 19 ms 35096 KB Output is correct
45 Correct 19 ms 35152 KB Output is correct
46 Correct 49 ms 48772 KB Output is correct
47 Correct 79 ms 56640 KB Output is correct
48 Correct 75 ms 56636 KB Output is correct
49 Correct 86 ms 56612 KB Output is correct
50 Correct 71 ms 56684 KB Output is correct
51 Correct 75 ms 56604 KB Output is correct
52 Correct 71 ms 56648 KB Output is correct
53 Correct 72 ms 56648 KB Output is correct
54 Correct 75 ms 57100 KB Output is correct
55 Correct 68 ms 56660 KB Output is correct
56 Correct 78 ms 56900 KB Output is correct
57 Correct 76 ms 56612 KB Output is correct
58 Correct 77 ms 56684 KB Output is correct
59 Correct 82 ms 56636 KB Output is correct
60 Correct 83 ms 57032 KB Output is correct
61 Correct 77 ms 56648 KB Output is correct
62 Correct 72 ms 56628 KB Output is correct
63 Correct 78 ms 56652 KB Output is correct
64 Correct 77 ms 56648 KB Output is correct
65 Correct 64 ms 57100 KB Output is correct
66 Correct 69 ms 56668 KB Output is correct
67 Correct 78 ms 55992 KB Output is correct
68 Correct 93 ms 56652 KB Output is correct
69 Correct 77 ms 56632 KB Output is correct
70 Correct 82 ms 56672 KB Output is correct
71 Correct 73 ms 56668 KB Output is correct
72 Correct 71 ms 56648 KB Output is correct
73 Correct 74 ms 56648 KB Output is correct
74 Correct 66 ms 56692 KB Output is correct
75 Correct 72 ms 57120 KB Output is correct
76 Correct 78 ms 56616 KB Output is correct
77 Correct 65 ms 57004 KB Output is correct
78 Correct 911 ms 56580 KB Output is correct
79 Correct 1338 ms 56648 KB Output is correct
80 Correct 1110 ms 56660 KB Output is correct
81 Correct 1186 ms 56652 KB Output is correct
82 Correct 1179 ms 56636 KB Output is correct
83 Correct 913 ms 56776 KB Output is correct
84 Correct 1427 ms 56656 KB Output is correct
85 Correct 2193 ms 56700 KB Output is correct
86 Correct 1913 ms 57032 KB Output is correct
87 Correct 1332 ms 56652 KB Output is correct
88 Correct 1250 ms 56900 KB Output is correct
89 Correct 1937 ms 56636 KB Output is correct
90 Correct 1893 ms 57056 KB Output is correct
91 Correct 18 ms 34768 KB Output is correct
92 Correct 22 ms 35096 KB Output is correct
93 Correct 19 ms 35080 KB Output is correct
94 Correct 76 ms 56656 KB Output is correct
95 Correct 73 ms 56644 KB Output is correct
96 Correct 80 ms 56612 KB Output is correct
97 Correct 64 ms 57116 KB Output is correct
98 Correct 66 ms 56632 KB Output is correct
99 Correct 70 ms 56648 KB Output is correct
100 Correct 75 ms 56656 KB Output is correct
101 Correct 73 ms 56604 KB Output is correct
102 Correct 65 ms 57056 KB Output is correct
103 Correct 67 ms 56692 KB Output is correct
104 Correct 20 ms 35152 KB Output is correct
105 Correct 19 ms 35152 KB Output is correct
106 Correct 19 ms 35108 KB Output is correct
107 Correct 20 ms 35072 KB Output is correct
108 Correct 21 ms 35128 KB Output is correct
109 Correct 18 ms 35152 KB Output is correct
110 Correct 20 ms 35084 KB Output is correct
111 Correct 23 ms 35152 KB Output is correct
112 Correct 19 ms 35152 KB Output is correct
113 Correct 19 ms 35152 KB Output is correct
114 Correct 384 ms 39700 KB Output is correct
115 Correct 1166 ms 56640 KB Output is correct
116 Correct 1497 ms 56584 KB Output is correct
117 Correct 1797 ms 56676 KB Output is correct
118 Correct 1330 ms 56664 KB Output is correct
119 Correct 1156 ms 56680 KB Output is correct
120 Correct 1195 ms 56664 KB Output is correct
121 Correct 1000 ms 56632 KB Output is correct
122 Correct 1094 ms 57056 KB Output is correct
123 Correct 1115 ms 56804 KB Output is correct
124 Correct 878 ms 56776 KB Output is correct
125 Correct 75 ms 56624 KB Output is correct
126 Correct 74 ms 56596 KB Output is correct
127 Correct 74 ms 56648 KB Output is correct
128 Correct 66 ms 57048 KB Output is correct
129 Correct 68 ms 56700 KB Output is correct
130 Correct 81 ms 55992 KB Output is correct
131 Correct 75 ms 56644 KB Output is correct
132 Correct 73 ms 56648 KB Output is correct
133 Correct 70 ms 56636 KB Output is correct
134 Correct 74 ms 56628 KB Output is correct
135 Correct 75 ms 56760 KB Output is correct
136 Correct 81 ms 56648 KB Output is correct
137 Correct 66 ms 56648 KB Output is correct
138 Correct 67 ms 57036 KB Output is correct
139 Correct 65 ms 56644 KB Output is correct
140 Correct 63 ms 57036 KB Output is correct
141 Correct 19 ms 35152 KB Output is correct
142 Correct 19 ms 35072 KB Output is correct
143 Correct 18 ms 35132 KB Output is correct
144 Correct 19 ms 35096 KB Output is correct
145 Correct 19 ms 35152 KB Output is correct
146 Correct 19 ms 34916 KB Output is correct
147 Correct 19 ms 35072 KB Output is correct
148 Correct 21 ms 35152 KB Output is correct
149 Correct 22 ms 35176 KB Output is correct
150 Correct 20 ms 35152 KB Output is correct
151 Correct 19 ms 35152 KB Output is correct
152 Correct 19 ms 35072 KB Output is correct
153 Correct 19 ms 35152 KB Output is correct
154 Correct 20 ms 35128 KB Output is correct
155 Correct 21 ms 35136 KB Output is correct
156 Correct 19 ms 35104 KB Output is correct
157 Correct 1054 ms 54160 KB Output is correct
158 Correct 1262 ms 56616 KB Output is correct
159 Correct 1038 ms 56644 KB Output is correct
160 Correct 995 ms 56672 KB Output is correct
161 Correct 1207 ms 56628 KB Output is correct
162 Correct 1298 ms 56648 KB Output is correct
163 Correct 1299 ms 56632 KB Output is correct
164 Correct 1807 ms 56736 KB Output is correct
165 Correct 1936 ms 57036 KB Output is correct
166 Correct 1819 ms 56652 KB Output is correct
167 Correct 1719 ms 56880 KB Output is correct
168 Correct 17 ms 34768 KB Output is correct
169 Correct 1014 ms 41956 KB Output is correct
170 Correct 1473 ms 56692 KB Output is correct
171 Correct 1529 ms 56648 KB Output is correct
172 Correct 1726 ms 56652 KB Output is correct
173 Correct 1652 ms 56676 KB Output is correct
174 Correct 1443 ms 56616 KB Output is correct
175 Correct 1398 ms 56632 KB Output is correct
176 Correct 1677 ms 56640 KB Output is correct
177 Correct 1938 ms 57024 KB Output is correct
178 Correct 1617 ms 56656 KB Output is correct
179 Correct 1342 ms 56892 KB Output is correct