답안 #978215

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
978215	2024-05-09T03:47:52 Z	model_code	Board Game (JOI24_boardgame)	C++17	100 / 100	529 ms	52772 KB

Main

#include <bits/stdc++.h>

using namespace std;

using ll = long long;

template <class T>
using vc = vector<T>;

#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload3(__VA_ARGS__, FOR3, FOR2, FOR1)(__VA_ARGS__)

#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if

template <typename T>
T POP(deque<T> &que) {
  T a = que.front();
  que.pop_front();
  return a;
}

template <class T, class S>
inline bool chmax(T &a, const S &b) {
  return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
  return (a > b ? a = b, 1 : 0);
}

// stable sort
template <typename T>
vector<int> argsort(const vector<T> &A) {
  vector<int> ids(len(A));
  iota(all(ids), 0);
  sort(all(ids),
       [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); });
  return ids;
}

// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
  vc<T> B(len(I));
  FOR(i, len(I)) B[i] = A[I[i]];
  return B;
}

constexpr ll INF = 1'000'000'000'000'000'000;

// 点集合 V からの距離
// 距離が x1 または x2 であり, f(u,v) で与える.
template <typename F>
vc<ll> bfs(int N, vc<vc<int>> &G, vc<int> &V, F f) {
  assert(!V.empty());
  vc<ll> dist(N, INF);
  deque<int> que;
  for (auto &v: V) { dist[v] = 0, que.push_back(v); }
  while (len(que)) {
    int v = POP(que);
    for (int w: G[v]) {
      ll x = f(v, w);
      assert(x == 0 || x == 1);
      if (chmin(dist[w], dist[v] + x)) {
        if (x == 0)
          que.push_front(w);
        else
          que.push_back(w);
      }
    }
  }
  return dist;
}

void out(vc<ll> ANS) {
  for (ll x: ANS) cout << x << "\n";
}

void solve() {
  // 入力を読み込む
  int N, M, K;
  cin >> N >> M >> K;
  vc<vc<int>> G(N);
  FOR(M) {
    int u, v;
    cin >> u >> v;
    --u, --v;
    G[u].emplace_back(v), G[v].emplace_back(u);
  }
  string S;
  cin >> S;
  vc<int> X;
  FOR(K) {
    int x;
    cin >> x;
    X.emplace_back(--x);
  }

  // 駒 0 の初期位置：X0
  // この実装では「他の駒」の個数を K としている
  int X0 = X[0];
  X.erase(X.begin());
  --K;

  // 入力ここまで
  // åœæ­¢ãƒžã‚¹ãŒå­˜åœ¨ã—ãªã„å ´åˆ
  if (count(all(S), '1') == 0) {
    vc<int> V = {X0};
    vc<ll> ANS = bfs(N, G, V, [&](int u, int v) -> int { return 1; });
    return out(ANS);
  }

  // 駒 0 が目的達成までに他の駒がターンを消化する回数 n
  // n>=1 のときに 2n+a が利用できるような a の最小値
  vc<ll> A = [&]() -> vc<ll> {
    vc<int> V;
    FOR(v, N) {
      if (S[v] != '1') continue;
      for (int w: G[v]) { V.emplace_back(w); }
    }
    vc<ll> dist = bfs(N, G, V, [&](int u, int v) -> int { return 1; });
    vc<ll> A(K);
    FOR(k, K) {
      ll x = dist[X[k]];
      A[k] = x - 1;
    }
    return A;
  }();

  // n>=1 のときに n+b が利用できるような b の最小値
  vc<ll> B = [&]() -> vc<ll> {
    vc<int> V;
    FOR(v, N) {
      if (S[v] != '1') continue;
      for (int w: G[v]) {
        if (S[w] == '1') {
          V.emplace_back(v);
          break;
        }
      }
    }
    if (V.empty()) return vc<ll>(K, INF);
    vc<ll> dist = bfs(
        N, G, V, [&](int u, int v) -> int { return (S[u] == '1' ? 0 : 1); });
    vc<ll> B(K);
    FOR(k, K) { B[k] = dist[X[k]]; }
    return B;
  }();

  // 他の駒すべてを n 回ずつターン消費するためにかかるコスト
  vc<ll> COST(N);
  {
    vc<ll> C0(N + 1), C1(N + 1);
    FOR(k, K) {
      ll a = A[k], b = B[k];
      assert(a <= b);
      ll n = b - a;
      chmin(n, N);
      // FOR(x, n) COST[x] += 2 * x + a;
      // FOR(x, n, N) COST[x] += x + b;
      // c1x +c0
      C1[0] += 2, C1[n] -= 2, C0[0] += a, C0[n] -= a;
      C1[n] += 1, C1[N] -= 1, C0[n] += b, C0[N] -= b;
    }
    FOR(n, N) C1[n + 1] += C1[n], C0[n + 1] += C0[n];
    FOR(x, 1, N) COST[x] = C1[x] * x + C0[x];
  }

  auto solution_1 = [&]() -> vc<ll> {
    // K が大きい
    // 再行動回数を枝狩りする
    vc<ll> ANS(N, INF);
    vc<int> V = {X0};

    // min_cnt: v に到達するまでに他のプレイヤがターン消化する最小回数
    vc<ll> min_cnt = bfs(N, G, V, [&](int u, int v) -> int {
      return (S[u] == '1' && u != X0 ? 1 : 0);
    });
    ll LIM = N / K + 1;
    chmin(LIM, count(all(S), '1'));

    // dp[i][v]: v に到達するまでに他のプレイヤが
    // min_cnt[v] + i 回ずつターン消化
    vc<vc<int>> dp(LIM, vc<int>(N, 1e9));
    vc<int> min_cnt_now(N, N);
    deque<pair<int, int>> que;
    dp[0][X0] = 0, que.emplace_back(0, X0);
    while (len(que)) {
      auto [k, v] = POP(que);
      for (int w: G[v]) {
        int k1 = k + (S[v] == '1' && v != X0 ? 1 : 0);
        int x = dp[k - min_cnt[v]][v];
        // 最適になりえないパターンを枝狩りする
        if (!chmin(min_cnt_now[w], k1)) continue;
        if (k1 - min_cnt[w] >= LIM) continue;
        if (N <= x + 1 + ll(K) * (k1 - min_cnt[w])) continue;
        if (chmin(dp[k1 - min_cnt[w]][w], x + 1)) { que.emplace_back(k1, w); }
      }
    }
    FOR(k, LIM) {
      FOR(v, N) {
        ll x = dp[k][v];
        ll n = min_cnt[v] + k;
        if (n < N) chmin(ANS[v], x + COST[n]);
      }
    }
    return ANS;
  };

  auto solution_2 = [&]() -> vc<ll> {
    // 直線の種類ごとに解く
    vc<ll> ANS(N, INF);
    vc<vc<ll>> dp(2, vc<ll>(N, INF));
    vc<pair<int, int>> que1(N + N), que2(N + N);
    auto solve_ab = [&](ll a, ll b) -> void {
      // 他のプレイヤが n 回ターン消化するときに an+b のコストがかかるとして解く
      // v!=X0 かつ S[v]=='1' から出るときにコスト発生
      // dp[v] := プレイヤ1の回数 + an
      fill(all(dp[0]), INF), fill(all(dp[1]), INF);
      int l1 = 0, r1 = 0, l2 = 0, r2 = 0;
      dp[0][X0] = 0, que1[r1++] = {0, X0};
      while (l1 < r1 || l2 < r2) {
        auto [t, v] = [&]() -> pair<int, int> {
          if (l1 == r1) return que2[l2++];
          if (l2 == r2) return que1[l1++];
          auto [t1, v1] = que1[l1];
          auto [t2, v2] = que2[l2];
          return (dp[t1][v1] < dp[t2][v2] ? que1[l1++] : que2[l2++]);
        }();
        for (auto w: G[v]) {
          if (v == X0 || S[v] == '0') {
            if (chmin(dp[t][w], dp[t][v] + 1)) que1[r1++] = {t, w};
          } else {
            if (chmin(dp[1][w], dp[t][v] + a + 1)) que2[r2++] = {1, w};
          }
        }
      }
      FOR(v, N) {
        chmin(ANS[v], dp[0][v]);
        chmin(ANS[v], dp[1][v] + b);
      }
    };

    int L = 1;
    while (L < N) {
      // COST[L], ..., COST[R-1] 部分をまとめて計算する
      int R = L + 2;
      while (R < N && 2 * COST[R - 1] == COST[R - 2] + COST[R]) { ++R; }
      chmin(R, N);
      if (R == L + 1) {
        solve_ab(0, COST[L]);
      } else {
        ll a = COST[L + 1] - COST[L];
        ll b = COST[L] - a * L;
        solve_ab(a, b);
      }
      L = R;
    }
    return ANS;
  };

  vc<ll> ANS = (K >= 200 ? solution_1() : solution_2());
  out(ANS);
}

signed main() {
  solve();
  return 0;
}

Subtask #1

3.0 / 3.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	604 KB	Output is correct
2	Correct	26 ms	3296 KB	Output is correct
3	Correct	44 ms	5484 KB	Output is correct
4	Correct	33 ms	4692 KB	Output is correct

Subtask #2

7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	600 KB	Output is correct
2	Correct	33 ms	4008 KB	Output is correct
3	Correct	40 ms	7224 KB	Output is correct
4	Correct	37 ms	7224 KB	Output is correct
5	Correct	49 ms	6368 KB	Output is correct
6	Correct	37 ms	7380 KB	Output is correct
7	Correct	36 ms	5932 KB	Output is correct
8	Correct	37 ms	6988 KB	Output is correct

Subtask #3

7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	600 KB	Output is correct
2	Correct	29 ms	4124 KB	Output is correct
3	Correct	38 ms	5564 KB	Output is correct
4	Correct	41 ms	6204 KB	Output is correct
5	Correct	47 ms	6332 KB	Output is correct
6	Correct	37 ms	7244 KB	Output is correct
7	Correct	37 ms	7228 KB	Output is correct
8	Correct	49 ms	6324 KB	Output is correct
9	Correct	26 ms	2600 KB	Output is correct
10	Correct	25 ms	2624 KB	Output is correct

Subtask #4

19.0 / 19.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	604 KB	Output is correct
2	Correct	3 ms	704 KB	Output is correct
3	Correct	2 ms	604 KB	Output is correct
4	Correct	3 ms	860 KB	Output is correct
5	Correct	2 ms	604 KB	Output is correct
6	Correct	2 ms	604 KB	Output is correct
7	Correct	2 ms	580 KB	Output is correct
8	Correct	4 ms	604 KB	Output is correct
9	Correct	2 ms	604 KB	Output is correct
10	Correct	2 ms	604 KB	Output is correct
11	Correct	3 ms	856 KB	Output is correct
12	Correct	2 ms	604 KB	Output is correct
13	Correct	2 ms	600 KB	Output is correct
14	Correct	2 ms	824 KB	Output is correct
15	Correct	7 ms	820 KB	Output is correct
16	Correct	11 ms	844 KB	Output is correct
17	Correct	2 ms	860 KB	Output is correct
18	Correct	2 ms	704 KB	Output is correct
19	Correct	3 ms	820 KB	Output is correct
20	Correct	3 ms	824 KB	Output is correct
21	Correct	3 ms	600 KB	Output is correct

Subtask #5

23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	37 ms	7232 KB	Output is correct
2	Correct	40 ms	7232 KB	Output is correct
3	Correct	36 ms	7228 KB	Output is correct
4	Correct	39 ms	7240 KB	Output is correct
5	Correct	45 ms	7404 KB	Output is correct
6	Correct	34 ms	5920 KB	Output is correct
7	Correct	26 ms	2664 KB	Output is correct
8	Correct	20 ms	3632 KB	Output is correct
9	Correct	21 ms	3648 KB	Output is correct
10	Correct	34 ms	5712 KB	Output is correct
11	Correct	34 ms	5712 KB	Output is correct
12	Correct	38 ms	7480 KB	Output is correct

Subtask #6

9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	37 ms	7232 KB	Output is correct
2	Correct	40 ms	7232 KB	Output is correct
3	Correct	36 ms	7228 KB	Output is correct
4	Correct	39 ms	7240 KB	Output is correct
5	Correct	45 ms	7404 KB	Output is correct
6	Correct	34 ms	5920 KB	Output is correct
7	Correct	26 ms	2664 KB	Output is correct
8	Correct	20 ms	3632 KB	Output is correct
9	Correct	21 ms	3648 KB	Output is correct
10	Correct	34 ms	5712 KB	Output is correct
11	Correct	34 ms	5712 KB	Output is correct
12	Correct	38 ms	7480 KB	Output is correct
13	Correct	46 ms	7436 KB	Output is correct
14	Correct	41 ms	7452 KB	Output is correct
15	Correct	65 ms	7344 KB	Output is correct
16	Correct	68 ms	7428 KB	Output is correct
17	Correct	36 ms	6176 KB	Output is correct
18	Correct	53 ms	6188 KB	Output is correct
19	Correct	50 ms	5556 KB	Output is correct
20	Correct	43 ms	7168 KB	Output is correct
21	Correct	20 ms	3668 KB	Output is correct
22	Correct	22 ms	4388 KB	Output is correct
23	Correct	21 ms	4388 KB	Output is correct
24	Correct	39 ms	6404 KB	Output is correct
25	Correct	36 ms	7196 KB	Output is correct
26	Correct	36 ms	7240 KB	Output is correct
27	Correct	26 ms	4376 KB	Output is correct
28	Correct	100 ms	4380 KB	Output is correct
29	Correct	156 ms	4604 KB	Output is correct
30	Correct	41 ms	7224 KB	Output is correct
31	Correct	154 ms	7412 KB	Output is correct
32	Correct	287 ms	7416 KB	Output is correct

Subtask #7

23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	604 KB	Output is correct
2	Correct	3 ms	704 KB	Output is correct
3	Correct	2 ms	604 KB	Output is correct
4	Correct	3 ms	860 KB	Output is correct
5	Correct	2 ms	604 KB	Output is correct
6	Correct	2 ms	604 KB	Output is correct
7	Correct	2 ms	580 KB	Output is correct
8	Correct	4 ms	604 KB	Output is correct
9	Correct	2 ms	604 KB	Output is correct
10	Correct	2 ms	604 KB	Output is correct
11	Correct	3 ms	856 KB	Output is correct
12	Correct	2 ms	604 KB	Output is correct
13	Correct	2 ms	600 KB	Output is correct
14	Correct	2 ms	824 KB	Output is correct
15	Correct	7 ms	820 KB	Output is correct
16	Correct	11 ms	844 KB	Output is correct
17	Correct	2 ms	860 KB	Output is correct
18	Correct	2 ms	704 KB	Output is correct
19	Correct	3 ms	820 KB	Output is correct
20	Correct	3 ms	824 KB	Output is correct
21	Correct	3 ms	600 KB	Output is correct
22	Correct	31 ms	4404 KB	Output is correct
23	Correct	28 ms	11060 KB	Output is correct
24	Correct	24 ms	4532 KB	Output is correct
25	Correct	34 ms	19740 KB	Output is correct
26	Correct	30 ms	12476 KB	Output is correct
27	Correct	27 ms	3860 KB	Output is correct
28	Correct	30 ms	10652 KB	Output is correct
29	Correct	28 ms	4116 KB	Output is correct
30	Correct	26 ms	4372 KB	Output is correct
31	Correct	30 ms	4036 KB	Output is correct
32	Correct	21 ms	2816 KB	Output is correct
33	Correct	21 ms	3268 KB	Output is correct
34	Correct	24 ms	4384 KB	Output is correct
35	Correct	21 ms	4344 KB	Output is correct
36	Correct	62 ms	14772 KB	Output is correct
37	Correct	46 ms	11800 KB	Output is correct
38	Correct	41 ms	8032 KB	Output is correct
39	Correct	240 ms	4604 KB	Output is correct
40	Correct	319 ms	4608 KB	Output is correct
41	Correct	31 ms	14956 KB	Output is correct
42	Correct	29 ms	10256 KB	Output is correct
43	Correct	37 ms	8468 KB	Output is correct
44	Correct	25 ms	6932 KB	Output is correct
45	Correct	25 ms	6160 KB	Output is correct
46	Correct	25 ms	5660 KB	Output is correct
47	Correct	25 ms	5148 KB	Output is correct
48	Correct	26 ms	4636 KB	Output is correct
49	Correct	25 ms	4132 KB	Output is correct
50	Correct	29 ms	4104 KB	Output is correct
51	Correct	23 ms	4372 KB	Output is correct
52	Correct	28 ms	4588 KB	Output is correct
53	Correct	36 ms	4468 KB	Output is correct
54	Correct	37 ms	4304 KB	Output is correct

Subtask #8

9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	604 KB	Output is correct
2	Correct	26 ms	3296 KB	Output is correct
3	Correct	44 ms	5484 KB	Output is correct
4	Correct	33 ms	4692 KB	Output is correct
5	Correct	3 ms	600 KB	Output is correct
6	Correct	33 ms	4008 KB	Output is correct
7	Correct	40 ms	7224 KB	Output is correct
8	Correct	37 ms	7224 KB	Output is correct
9	Correct	49 ms	6368 KB	Output is correct
10	Correct	37 ms	7380 KB	Output is correct
11	Correct	36 ms	5932 KB	Output is correct
12	Correct	37 ms	6988 KB	Output is correct
13	Correct	3 ms	600 KB	Output is correct
14	Correct	29 ms	4124 KB	Output is correct
15	Correct	38 ms	5564 KB	Output is correct
16	Correct	41 ms	6204 KB	Output is correct
17	Correct	47 ms	6332 KB	Output is correct
18	Correct	37 ms	7244 KB	Output is correct
19	Correct	37 ms	7228 KB	Output is correct
20	Correct	49 ms	6324 KB	Output is correct
21	Correct	26 ms	2600 KB	Output is correct
22	Correct	25 ms	2624 KB	Output is correct
23	Correct	2 ms	604 KB	Output is correct
24	Correct	3 ms	704 KB	Output is correct
25	Correct	2 ms	604 KB	Output is correct
26	Correct	3 ms	860 KB	Output is correct
27	Correct	2 ms	604 KB	Output is correct
28	Correct	2 ms	604 KB	Output is correct
29	Correct	2 ms	580 KB	Output is correct
30	Correct	4 ms	604 KB	Output is correct
31	Correct	2 ms	604 KB	Output is correct
32	Correct	2 ms	604 KB	Output is correct
33	Correct	3 ms	856 KB	Output is correct
34	Correct	2 ms	604 KB	Output is correct
35	Correct	2 ms	600 KB	Output is correct
36	Correct	2 ms	824 KB	Output is correct
37	Correct	7 ms	820 KB	Output is correct
38	Correct	11 ms	844 KB	Output is correct
39	Correct	2 ms	860 KB	Output is correct
40	Correct	2 ms	704 KB	Output is correct
41	Correct	3 ms	820 KB	Output is correct
42	Correct	3 ms	824 KB	Output is correct
43	Correct	3 ms	600 KB	Output is correct
44	Correct	37 ms	7232 KB	Output is correct
45	Correct	40 ms	7232 KB	Output is correct
46	Correct	36 ms	7228 KB	Output is correct
47	Correct	39 ms	7240 KB	Output is correct
48	Correct	45 ms	7404 KB	Output is correct
49	Correct	34 ms	5920 KB	Output is correct
50	Correct	26 ms	2664 KB	Output is correct
51	Correct	20 ms	3632 KB	Output is correct
52	Correct	21 ms	3648 KB	Output is correct
53	Correct	34 ms	5712 KB	Output is correct
54	Correct	34 ms	5712 KB	Output is correct
55	Correct	38 ms	7480 KB	Output is correct
56	Correct	46 ms	7436 KB	Output is correct
57	Correct	41 ms	7452 KB	Output is correct
58	Correct	65 ms	7344 KB	Output is correct
59	Correct	68 ms	7428 KB	Output is correct
60	Correct	36 ms	6176 KB	Output is correct
61	Correct	53 ms	6188 KB	Output is correct
62	Correct	50 ms	5556 KB	Output is correct
63	Correct	43 ms	7168 KB	Output is correct
64	Correct	20 ms	3668 KB	Output is correct
65	Correct	22 ms	4388 KB	Output is correct
66	Correct	21 ms	4388 KB	Output is correct
67	Correct	39 ms	6404 KB	Output is correct
68	Correct	36 ms	7196 KB	Output is correct
69	Correct	36 ms	7240 KB	Output is correct
70	Correct	26 ms	4376 KB	Output is correct
71	Correct	100 ms	4380 KB	Output is correct
72	Correct	156 ms	4604 KB	Output is correct
73	Correct	41 ms	7224 KB	Output is correct
74	Correct	154 ms	7412 KB	Output is correct
75	Correct	287 ms	7416 KB	Output is correct
76	Correct	31 ms	4404 KB	Output is correct
77	Correct	28 ms	11060 KB	Output is correct
78	Correct	24 ms	4532 KB	Output is correct
79	Correct	34 ms	19740 KB	Output is correct
80	Correct	30 ms	12476 KB	Output is correct
81	Correct	27 ms	3860 KB	Output is correct
82	Correct	30 ms	10652 KB	Output is correct
83	Correct	28 ms	4116 KB	Output is correct
84	Correct	26 ms	4372 KB	Output is correct
85	Correct	30 ms	4036 KB	Output is correct
86	Correct	21 ms	2816 KB	Output is correct
87	Correct	21 ms	3268 KB	Output is correct
88	Correct	24 ms	4384 KB	Output is correct
89	Correct	21 ms	4344 KB	Output is correct
90	Correct	62 ms	14772 KB	Output is correct
91	Correct	46 ms	11800 KB	Output is correct
92	Correct	41 ms	8032 KB	Output is correct
93	Correct	240 ms	4604 KB	Output is correct
94	Correct	319 ms	4608 KB	Output is correct
95	Correct	31 ms	14956 KB	Output is correct
96	Correct	29 ms	10256 KB	Output is correct
97	Correct	37 ms	8468 KB	Output is correct
98	Correct	25 ms	6932 KB	Output is correct
99	Correct	25 ms	6160 KB	Output is correct
100	Correct	25 ms	5660 KB	Output is correct
101	Correct	25 ms	5148 KB	Output is correct
102	Correct	26 ms	4636 KB	Output is correct
103	Correct	25 ms	4132 KB	Output is correct
104	Correct	29 ms	4104 KB	Output is correct
105	Correct	23 ms	4372 KB	Output is correct
106	Correct	28 ms	4588 KB	Output is correct
107	Correct	36 ms	4468 KB	Output is correct
108	Correct	37 ms	4304 KB	Output is correct
109	Correct	52 ms	11496 KB	Output is correct
110	Correct	61 ms	37668 KB	Output is correct
111	Correct	37 ms	7240 KB	Output is correct
112	Correct	214 ms	7224 KB	Output is correct
113	Correct	72 ms	34112 KB	Output is correct
114	Correct	63 ms	39672 KB	Output is correct
115	Correct	37 ms	7228 KB	Output is correct
116	Correct	76 ms	52772 KB	Output is correct
117	Correct	56 ms	23408 KB	Output is correct
118	Correct	30 ms	2952 KB	Output is correct
119	Correct	26 ms	3332 KB	Output is correct
120	Correct	38 ms	8536 KB	Output is correct
121	Correct	51 ms	6752 KB	Output is correct
122	Correct	46 ms	7328 KB	Output is correct
123	Correct	117 ms	29508 KB	Output is correct
124	Correct	95 ms	24644 KB	Output is correct
125	Correct	105 ms	19268 KB	Output is correct
126	Correct	397 ms	7416 KB	Output is correct
127	Correct	529 ms	7416 KB	Output is correct
128	Correct	66 ms	37932 KB	Output is correct
129	Correct	53 ms	24972 KB	Output is correct
130	Correct	49 ms	19264 KB	Output is correct
131	Correct	45 ms	15204 KB	Output is correct
132	Correct	50 ms	15160 KB	Output is correct
133	Correct	45 ms	15224 KB	Output is correct
134	Correct	43 ms	11712 KB	Output is correct
135	Correct	42 ms	10296 KB	Output is correct
136	Correct	42 ms	8504 KB	Output is correct
137	Correct	41 ms	7748 KB	Output is correct
138	Correct	41 ms	6728 KB	Output is correct
139	Correct	46 ms	6608 KB	Output is correct
140	Correct	41 ms	7252 KB	Output is correct
141	Correct	48 ms	7424 KB	Output is correct
142	Correct	52 ms	6716 KB	Output is correct
143	Correct	52 ms	6824 KB	Output is correct