답안 #902542

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
902542 2024-01-10T16:04:31 Z hwy 봉쇄 시간 (IOI23_closing) C++17
100 / 100
224 ms 42368 KB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll INF = 2e18;
 
vector<vector<pair<int, int>>> adj;
vector<ll> d[2];
vector<int> p;
 
void dfs(int s, int e, ll cd, vector<ll>& dv) {
	dv[s] = cd;
    p[s] = e;
	for(pair<int, int> edge : adj[s]) {
		if(edge.first == e) continue;
		dfs(edge.first, s, cd + edge.second, dv);
	}
};
 
int max_score(int N, int X, int Y, ll K, vector<int> U, vector<int> V, vector<int> W) {
    adj = vector<vector<pair<int, int>>>(N);
	for(int i = 0; i < N - 1; i++) {
		adj[U[i]].push_back({V[i], W[i]});
		adj[V[i]].push_back({U[i], W[i]});
	}
    d[0] = d[1] = vector<ll>(N);
    p = vector<int>(N);
 
	dfs(X, -1, 0, d[0]);
	dfs(Y, -1, 0, d[1]);
 
    int ans = 0;
    // solve no double case
    {
        vector<ll> e;
        for(int i = 0; i < N; i++) {
            e.push_back(d[0][i]);
            e.push_back(d[1][i]);
        }
        sort(e.begin(), e.end());
        ll sm = 0;
        for(int i = 0; i < e.size(); i++) {
            if(sm > K) {
                break;
            }
            ans = i;
            sm += e[i];
        }
 
        if(sm <= K) ans = e.size();
    }
    // solve double case
    {
        vector<bool> onXY(N);
        for(int i = X; i != -1; i = p[i]) onXY[i] = true;
        vector<int> A, B;
        for(int i = 0; i < N; i++) {
            // ignore nodes on X to Y, we can merge them at the end (with two pointers!)
            if(onXY[i]) continue;
            // split the nodes into two groups, A and B
            // A nodes are nodes whose greedy method is to repeatedly select the smallest
            // This is due to the fact that the difference between max and min is >= min
            // B nodes are nodes whose greedy method is to select nodes to be connected from both paths
            // and if necessary pick one from to just have one path
            if(2 * min(d[0][i], d[1][i]) <= max(d[0][i], d[1][i])) {
                A.push_back(i);
            } else {
                B.push_back(i);
            }
        }
        // A case
        vector<ll> Ares[2];
        {
            vector<ll> deltas;
            for(int i : A) {
                deltas.push_back(min(d[0][i], d[1][i]));
                deltas.push_back(llabs(d[0][i] - d[1][i]));
            }
            sort(deltas.begin(), deltas.end());
            Ares[0].push_back(0);
            int k = 0;
            // solve greedly by picking smallest "delta"
            for(ll delta : deltas) {
                Ares[k ^ 1].push_back(Ares[k].back() + delta);
                k ^= 1;
            }
        }
        // B case
        vector<ll> Bres[2];
        {
            sort(B.begin(), B.end(), [&] (int a, int b) { return max(d[0][a], d[1][a]) < max(d[0][b], d[1][b]); });
            Bres[0].push_back(0);
            // solve even case greedly by picking smallest max distance
            for(int i : B) {
                Bres[0].push_back(Bres[0].back() + max(d[0][i], d[1][i]));
            }
            vector<ll> addmn(B.size() + 1);
            addmn[B.size()] = INF;
            for(int i = B.size() - 1; i >= 0; i--) {
                addmn[i] = min(addmn[i + 1], min(d[0][B[i]], d[1][B[i]]));
            }
            // solve odd case greedly by picking max for the first n - 1 (which is even case) and then smallest min distance after
            ll submx = 0;
            for(int i = 0; i < B.size(); i++) {
                submx = max(submx, llabs(d[0][B[i]] - d[1][B[i]]));
                Bres[1].push_back(min(Bres[0][i + 1] - submx, Bres[0][i] + addmn[i]));
            }
        }
 
        // two pointer merging (requirement: a[i] - a[i - 1] must grow while i increases (for both a and b))
        auto merge2p = [&] (vector<ll> a, vector<ll> b) {
            if(a.size() == 0) return vector<ll>(0);
            if(b.size() == 0) return vector<ll>(0);
            int i = 0, j = 0;
            vector<ll> c(a.size() + b.size() - 1);
            while(i < a.size() && j < b.size()) {
                c[i + j] = a[i] + b[j];
                if(i == a.size() - 1) j++;
                else if(j == b.size() - 1) i++;
                else if(a[i + 1] + b[j] <= a[i] + b[j + 1]) i++;
                else j++;
            }
            return c;
        };
 
        vector<ll> res((A.size() + B.size()) * 2 + 1, INF);
        // merge all evens & odds togethor 
        // node: evens and odds differences are increasing and such we can merge them with 2p merging
        for(int i = 0; i < 2; i++) {
            for(int j = 0; j < 2; j++) {
                vector<ll> c = merge2p(Ares[i], Bres[j]);
                for(int k = 0; k < c.size(); k++) {
                    res[i ^ j + 2 * k] = min(res[i ^ j + 2 * k], c[k]);
                }
            }
        }
 
        // compute XY case
        // XY case is all the nodes on the path between X and Y
        ll sm = 0;
        int cnt = 0;
        vector<ll> res2;
        {
            vector<ll> deltas;
            for(int i = 0; i < N; i++) {
                if(onXY[i]) {
                    cnt++;
                    sm += min(d[0][i], d[1][i]);
                    deltas.push_back(llabs(d[0][i] - d[1][i]));
                }
            }
            sort(deltas.begin(), deltas.end());
            res2.push_back(0);
            // solve greedly again by picking smallest delta
            for(ll delta : deltas) {
                res2.push_back(res2.back() + delta);
            }
        }
        
        // final step is to lazily merge res & res2 (essentially to only calculate the results for K via two pointers)
        int j = res.size() - 1;
        for(int i = 0; i < res2.size(); i++) {
            while(j > 0 && res[j] + res2[i] + sm > K) j--;
            if(res[j] + res2[i] + sm <= K) ans = max(ans, i + j + cnt);
        }
        // reason we cant merge res & res2 via two pointer merging is due to the fact that res & res2 have no 
        // special properties (like previously the even and odd splitting) to merge them.
    }
    return ans;
}

Compilation message

closing.cpp: In function 'int max_score(int, int, int, ll, std::vector<int>, std::vector<int>, std::vector<int>)':
closing.cpp:41:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   41 |         for(int i = 0; i < e.size(); i++) {
      |                        ~~^~~~~~~~~~
closing.cpp:103:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  103 |             for(int i = 0; i < B.size(); i++) {
      |                            ~~^~~~~~~~~~
closing.cpp: In lambda function:
closing.cpp:115:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  115 |             while(i < a.size() && j < b.size()) {
      |                   ~~^~~~~~~~~~
closing.cpp:115:37: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  115 |             while(i < a.size() && j < b.size()) {
      |                                   ~~^~~~~~~~~~
closing.cpp:117:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  117 |                 if(i == a.size() - 1) j++;
      |                    ~~^~~~~~~~~~~~~~~
closing.cpp:118:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  118 |                 else if(j == b.size() - 1) i++;
      |                         ~~^~~~~~~~~~~~~~~
closing.cpp: In function 'int max_score(int, int, int, ll, std::vector<int>, std::vector<int>, std::vector<int>)':
closing.cpp:131:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  131 |                 for(int k = 0; k < c.size(); k++) {
      |                                ~~^~~~~~~~~~
closing.cpp:132:31: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
  132 |                     res[i ^ j + 2 * k] = min(res[i ^ j + 2 * k], c[k]);
      |                             ~~^~~~~~~
closing.cpp:132:56: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
  132 |                     res[i ^ j + 2 * k] = min(res[i ^ j + 2 * k], c[k]);
      |                                                      ~~^~~~~~~
closing.cpp:161:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  161 |         for(int i = 0; i < res2.size(); i++) {
      |                        ~~^~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 158 ms 37124 KB Output is correct
2 Correct 180 ms 42368 KB Output is correct
3 Correct 118 ms 5460 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 436 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 436 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 440 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 436 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 436 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 440 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 436 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 2 ms 352 KB Output is correct
26 Correct 2 ms 860 KB Output is correct
27 Correct 2 ms 1020 KB Output is correct
28 Correct 3 ms 856 KB Output is correct
29 Correct 3 ms 1024 KB Output is correct
30 Correct 3 ms 856 KB Output is correct
31 Correct 2 ms 860 KB Output is correct
32 Correct 2 ms 1032 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 436 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 0 ms 352 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 428 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 436 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 436 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 436 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 600 KB Output is correct
24 Correct 0 ms 352 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 0 ms 428 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 436 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 436 KB Output is correct
37 Correct 0 ms 436 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 432 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 1 ms 344 KB Output is correct
44 Correct 1 ms 344 KB Output is correct
45 Correct 1 ms 408 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 1 ms 436 KB Output is correct
50 Correct 1 ms 344 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 436 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 440 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 436 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 600 KB Output is correct
31 Correct 0 ms 352 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 0 ms 428 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 436 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 436 KB Output is correct
44 Correct 0 ms 436 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 432 KB Output is correct
49 Correct 0 ms 344 KB Output is correct
50 Correct 1 ms 344 KB Output is correct
51 Correct 1 ms 344 KB Output is correct
52 Correct 1 ms 408 KB Output is correct
53 Correct 1 ms 344 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 1 ms 436 KB Output is correct
57 Correct 1 ms 344 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 1 ms 344 KB Output is correct
60 Correct 1 ms 344 KB Output is correct
61 Correct 1 ms 348 KB Output is correct
62 Correct 1 ms 432 KB Output is correct
63 Correct 1 ms 344 KB Output is correct
64 Correct 1 ms 344 KB Output is correct
65 Correct 1 ms 348 KB Output is correct
66 Correct 1 ms 348 KB Output is correct
67 Correct 1 ms 444 KB Output is correct
68 Correct 0 ms 348 KB Output is correct
69 Correct 1 ms 348 KB Output is correct
70 Correct 1 ms 348 KB Output is correct
71 Correct 1 ms 348 KB Output is correct
72 Correct 1 ms 348 KB Output is correct
73 Correct 1 ms 348 KB Output is correct
74 Correct 1 ms 348 KB Output is correct
75 Correct 1 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 436 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 440 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 436 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 2 ms 352 KB Output is correct
27 Correct 2 ms 860 KB Output is correct
28 Correct 2 ms 1020 KB Output is correct
29 Correct 3 ms 856 KB Output is correct
30 Correct 3 ms 1024 KB Output is correct
31 Correct 3 ms 856 KB Output is correct
32 Correct 2 ms 860 KB Output is correct
33 Correct 2 ms 1032 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1 ms 600 KB Output is correct
39 Correct 0 ms 352 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 0 ms 428 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 436 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 436 KB Output is correct
52 Correct 0 ms 436 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 432 KB Output is correct
57 Correct 0 ms 344 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 1 ms 344 KB Output is correct
60 Correct 1 ms 408 KB Output is correct
61 Correct 1 ms 344 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 1 ms 436 KB Output is correct
65 Correct 1 ms 344 KB Output is correct
66 Correct 1 ms 344 KB Output is correct
67 Correct 1 ms 344 KB Output is correct
68 Correct 1 ms 344 KB Output is correct
69 Correct 1 ms 348 KB Output is correct
70 Correct 1 ms 432 KB Output is correct
71 Correct 1 ms 344 KB Output is correct
72 Correct 1 ms 344 KB Output is correct
73 Correct 1 ms 348 KB Output is correct
74 Correct 1 ms 348 KB Output is correct
75 Correct 1 ms 444 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 1 ms 348 KB Output is correct
78 Correct 1 ms 348 KB Output is correct
79 Correct 1 ms 348 KB Output is correct
80 Correct 1 ms 348 KB Output is correct
81 Correct 1 ms 348 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 1 ms 348 KB Output is correct
84 Correct 2 ms 348 KB Output is correct
85 Correct 2 ms 448 KB Output is correct
86 Correct 2 ms 344 KB Output is correct
87 Correct 2 ms 348 KB Output is correct
88 Correct 2 ms 348 KB Output is correct
89 Correct 2 ms 860 KB Output is correct
90 Correct 2 ms 860 KB Output is correct
91 Correct 2 ms 860 KB Output is correct
92 Correct 2 ms 860 KB Output is correct
93 Correct 3 ms 860 KB Output is correct
94 Correct 3 ms 860 KB Output is correct
95 Correct 2 ms 860 KB Output is correct
96 Correct 2 ms 860 KB Output is correct
97 Correct 2 ms 860 KB Output is correct
98 Correct 2 ms 944 KB Output is correct
99 Correct 2 ms 860 KB Output is correct
100 Correct 2 ms 860 KB Output is correct
101 Correct 2 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 436 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 440 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 436 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 2 ms 352 KB Output is correct
27 Correct 2 ms 860 KB Output is correct
28 Correct 2 ms 1020 KB Output is correct
29 Correct 3 ms 856 KB Output is correct
30 Correct 3 ms 1024 KB Output is correct
31 Correct 3 ms 856 KB Output is correct
32 Correct 2 ms 860 KB Output is correct
33 Correct 2 ms 1032 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1 ms 600 KB Output is correct
39 Correct 0 ms 352 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 0 ms 428 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 436 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 436 KB Output is correct
52 Correct 0 ms 436 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 432 KB Output is correct
57 Correct 0 ms 344 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 1 ms 344 KB Output is correct
60 Correct 1 ms 408 KB Output is correct
61 Correct 1 ms 344 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 1 ms 436 KB Output is correct
65 Correct 1 ms 344 KB Output is correct
66 Correct 1 ms 344 KB Output is correct
67 Correct 1 ms 344 KB Output is correct
68 Correct 1 ms 344 KB Output is correct
69 Correct 1 ms 348 KB Output is correct
70 Correct 1 ms 432 KB Output is correct
71 Correct 1 ms 344 KB Output is correct
72 Correct 1 ms 344 KB Output is correct
73 Correct 1 ms 348 KB Output is correct
74 Correct 1 ms 348 KB Output is correct
75 Correct 1 ms 444 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 1 ms 348 KB Output is correct
78 Correct 1 ms 348 KB Output is correct
79 Correct 1 ms 348 KB Output is correct
80 Correct 1 ms 348 KB Output is correct
81 Correct 1 ms 348 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 1 ms 348 KB Output is correct
84 Correct 2 ms 348 KB Output is correct
85 Correct 2 ms 448 KB Output is correct
86 Correct 2 ms 344 KB Output is correct
87 Correct 2 ms 348 KB Output is correct
88 Correct 2 ms 348 KB Output is correct
89 Correct 2 ms 860 KB Output is correct
90 Correct 2 ms 860 KB Output is correct
91 Correct 2 ms 860 KB Output is correct
92 Correct 2 ms 860 KB Output is correct
93 Correct 3 ms 860 KB Output is correct
94 Correct 3 ms 860 KB Output is correct
95 Correct 2 ms 860 KB Output is correct
96 Correct 2 ms 860 KB Output is correct
97 Correct 2 ms 860 KB Output is correct
98 Correct 2 ms 944 KB Output is correct
99 Correct 2 ms 860 KB Output is correct
100 Correct 2 ms 860 KB Output is correct
101 Correct 2 ms 348 KB Output is correct
102 Correct 90 ms 5460 KB Output is correct
103 Correct 80 ms 5456 KB Output is correct
104 Correct 146 ms 38008 KB Output is correct
105 Correct 91 ms 6724 KB Output is correct
106 Correct 96 ms 6652 KB Output is correct
107 Correct 77 ms 33136 KB Output is correct
108 Correct 85 ms 34008 KB Output is correct
109 Correct 103 ms 39096 KB Output is correct
110 Correct 224 ms 37240 KB Output is correct
111 Correct 120 ms 41048 KB Output is correct
112 Correct 187 ms 35576 KB Output is correct
113 Correct 184 ms 35352 KB Output is correct
114 Correct 148 ms 36332 KB Output is correct
115 Correct 110 ms 39876 KB Output is correct
116 Correct 172 ms 39032 KB Output is correct
117 Correct 202 ms 35424 KB Output is correct
118 Correct 203 ms 37784 KB Output is correct
119 Correct 100 ms 9680 KB Output is correct
120 Correct 79 ms 4948 KB Output is correct