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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#302859#7977. 彩虹航线hos_lyric#72 636ms83788kbC++147.4kb2024-01-11 14:17:492024-07-04 03:17:41

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 03:17:41]
  • 评测
  • 测评结果:72
  • 用时:636ms
  • 内存:83788kb
  • [2024-01-11 14:17:49]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")


#include <chrono>

#ifdef LOCAL
mt19937_64 rng(58);
#else
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
#endif


namespace bm {
constexpr int LIM_N0 = 210;
constexpr int LIM_N1 = 210;
constexpr int LIM_M = 40010;
int n0, n1, m, as[LIM_M], bs[LIM_M];
int to[LIM_N0], fr[LIM_N1], tof;
int pt[LIM_N0 + 2], zu[LIM_M], used[LIM_N0], lev[LIM_N0], que[LIM_N0], *qb, *qe;
void init(int n0_, int n1_) {
  n0 = n0_; n1 = n1_; m = 0;
}
int ae(int u, int v) {
  as[m] = u; bs[m] = v; return m++;
}
int augment(int u) {
  used[u] = tof;
  for (int j = pt[u]; j < pt[u + 1]; ++j) {
    const int v = zu[j];
    const int w = fr[v];
    if (!~w || (used[w] != tof && lev[u] < lev[w] && augment(w))) {
      to[u] = v; fr[v] = u; return 1;
    }
  }
  return 0;
}
int run() {
  memset(pt, 0, (n0 + 2) * sizeof(int));
  for (int i = 0; i < m; ++i) ++pt[as[i] + 2];
  for (int u = 2; u <= n0; ++u) pt[u + 1] += pt[u];
  for (int i = 0; i < m; ++i) zu[pt[as[i] + 1]++] = bs[i];
  memset(to, ~0, n0 * sizeof(int));
  memset(fr, ~0, n1 * sizeof(int));
  memset(used, ~0, n0 * sizeof(int));
  for (tof = 0; ; ) {
    qb = qe = que; memset(lev, ~0, n0 * sizeof(int));
    for (int u = 0; u < n0; ++u) if (!~to[u]) lev[*qe++ = u] = 0;
    for (; qb != qe; ) {
      const int u = *qb++;
      for (int j = pt[u]; j < pt[u + 1]; ++j) {
        const int w = fr[zu[j]];
        if (~w && !~lev[w]) lev[*qe++ = w] = lev[u] + 1;
      }
    }
    int f = 0;
    for (int u = 0; u < n0; ++u) if (!~to[u]) f += augment(u);
    if (!f) return tof;
    tof += f;
  }
}

// s: true, t: false (s: reachable from unmatched left)
// vertex cover: (0: false, 0: true)
// independent set: (0: true, 1: false)
bool side0[LIM_N0], side1[LIM_N1];
void dfs(int u) {
  if (!side0[u]) {
    side0[u] = true;
    for (int j = pt[u]; j < pt[u + 1]; ++j) {
      const int v = zu[j];
      if (!side1[v]) {
        side1[v] = true;
        const int w = fr[v];
        if (~w) dfs(w);
      }
    }
  }
}
void minCut() {
  memset(side0, 0, n0 * sizeof(bool));
  memset(side1, 0, n1 * sizeof(bool));
  for (int u = 0; u < n0; ++u) if (!~to[u]) dfs(u);
}
}  // namespace bm


int N, M, K;
vector<int> A, B;
vector<vector<int>> C;


vector<int> sub3() {
  assert(K == 2);
  vector<vector<int>> G(N + N);
  for (int i = 0; i < M; ++i) {
    G[A[i]].push_back(i);
    G[N + B[i]].push_back(i);
  }
  vector<int> ans(M, -1);
  vector<int> vis(N + N, 0);
  for (int phase = 1; phase <= 2; ++phase) {
    for (int r = 0; r < N + N; ++r) if (!vis[r] && (int)G[r].size() == phase) {
      vector<int> us, is;
      for (int bef = -1, u = r; !vis[u]; ) {
        vis[u] = true;
        us.push_back(u);
        if (us.size() >= 2 && G[u].size() == 1) break;
        for (const int i : G[u]) {
          const int v = A[i] ^ (N + B[i]) ^ u;
          if (bef != v) {
            is.push_back(i);
            bef = u;
            u = v;
            goto found;
          }
        }
        assert(false);
       found:{}
      }
// cerr<<"us = "<<us<<", is = "<<is<<endl;
      const int len = is.size();
      for (int k0 = 0; k0 < 2; ++k0) {
        vector<vector<int>> prv(len, vector<int>(2, -1));
        prv[0][k0] = -2;
        for (int j = 0; j < len - 1; ++j) {
          for (int k = 0; k < 2; ++k) if (~prv[j][k]) {
            for (int kk = 0; kk < 2; ++kk) if (C[is[j]][k] != C[is[j + 1]][kk]) {
              prv[j + 1][kk] = k;
            }
          }
        }
        for (int k1 = 0; k1 < 2; ++k1) if (~prv[len - 1][k1]) {
          if (us.size() == is.size() && C[is[len - 1]][k1] == C[is[0]][k0]) {
            continue;
          }
          for (int j = len - 1, k = k1; j >= 0; --j) {
            ans[is[j]] = C[is[j]][k];
            k = prv[j][k];
          }
          goto solved;
        }
      }
     solved:{}
    }
  }
  return ans;
}


vector<int> uso() {
  int limC = 0;
  for (int i = 0; i < M; ++i) {
    for (int k = 0; k < K; ++k) {
      chmax(limC, C[i][k]);
    }
  }
  ++limC;
  vector<vector<int>> iss(limC);
  for (int i = 0; i < M; ++i) {
    for (int k = 0; k < K; ++k) {
      iss[C[i][k]].push_back(i);
    }
  }
  for (; ; ) {
    vector<int> cs(limC);
    for (int c = 0; c < limC; ++c) cs[c] = c;
    shuffle(cs.begin(), cs.end(), rng);
    stable_sort(cs.begin(), cs.end(), [&](int c0, int c1) -> bool {
      return (iss[c0].size() > iss[c1].size());
    });
    vector<int> ans(M, -1);
    vector<int> idsA(N, -1), idsB(N, -1);
    for (const int c : cs) {
      vector<int> is;
      for (const int i : iss[c]) if (!~ans[i]) {
        is.push_back(i);
      }
      if (is.size()) {
        vector<int> as, bs;
        for (const int i : is) {
          as.push_back(A[i]);
          bs.push_back(B[i]);
        }
        sort(as.begin(), as.end());
        sort(bs.begin(), bs.end());
        as.erase(unique(as.begin(), as.end()), as.end());
        bs.erase(unique(bs.begin(), bs.end()), bs.end());
        const int asLen = as.size();
        const int bsLen = bs.size();
        for (int x = 0; x < asLen; ++x) idsA[as[x]] = x;
        for (int y = 0; y < bsLen; ++y) idsB[bs[y]] = y;
        bm::init(asLen, bsLen);
        for (const int i : is) {
          bm::ae(idsA[A[i]], idsB[B[i]]);
        }
        bm::run();
        for (const int i : is) {
          if (bm::to[idsA[A[i]]] == idsB[B[i]]) {
            ans[i] = c;
          }
        }
      }
    }
    bool ok = true;
    for (int i = 0; i < M; ++i) {
      ok = ok && (~ans[i]);
    }
    if (ok) {
      return ans;
    }
  }
}

int main() {
  for (; ~scanf("%d%d%d", &N, &M, &K); ) {
    A.resize(M);
    B.resize(M);
    C.assign(M, vector<int>(K));
    for (int i = 0; i < M; ++i) {
      scanf("%d%d", &A[i], &B[i]);
      --A[i];
      --B[i];
      for (int k = 0; k < K; ++k) {
        scanf("%d", &C[i][k]);
      }
    }
    
    vector<int> ans;
    if (K == 2) {
      ans = sub3();
    } else {
      ans = uso();
    }
    
    for (int i = 0; i < M; ++i) {
      if (i) printf(" ");
      printf("%d", ans[i]);
    }
    puts("");
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 1
Accepted

Test #1:

score: 1
Accepted
time: 0ms
memory: 3808kb

input:

150 150 1
144 5 1
141 54 1
26 120 1
148 68 1
136 62 1
114 1 1
33 136 1
85 100 1
97 124 1
84 66 1
107 81 1
82 135 1
112 44 1
20 89 1
50 32 1
52 94 1
89 88 1
3 57 1
130 23 1
140 150 1
96 37 1
122 38 1
41 63 1
99 85 1
13 95 1
142 47 1
95 4 1
69 17 1
27 119 1
73 93 1
108 43 1
54 18 1
37 76 1
67 114 1
40...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

result:

ok construction is correct.

Test #2:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

150 150 1
117 132 96
147 4 114
67 57 60
62 94 20
48 117 68
31 144 27
19 44 121
3 51 92
83 52 67
26 125 56
8 124 75
125 31 52
79 8 21
132 14 136
77 111 45
134 136 145
129 73 85
122 92 143
59 76 36
60 127 115
102 126 133
10 106 32
93 35 106
75 47 102
45 140 41
44 108 146
25 98 106
140 116 76
143 3 87
...

output:

96 114 60 20 68 27 121 92 67 56 75 52 21 136 45 145 85 143 36 115 133 32 106 102 41 146 106 76 87 90 116 15 147 51 35 85 15 83 43 105 89 12 89 140 103 114 135 78 93 80 87 93 19 7 125 132 96 96 99 48 1 63 3 6 146 116 48 9 126 6 106 64 74 84 16 23 119 51 7 83 96 56 94 97 27 15 51 106 95 32 70 103 75 8...

result:

ok construction is correct.

Test #3:

score: 0
Accepted
time: 1ms
memory: 3848kb

input:

150 10 1
35 145 1
145 88 2
130 14 1
111 142 1
138 99 1
76 73 1
101 79 1
147 137 2
65 64 1
108 8 2

output:

1 2 1 1 1 1 1 2 1 2

result:

ok construction is correct.

Subtask #2:

score: 2
Accepted

Test #4:

score: 2
Accepted
time: 218ms
memory: 48256kb

input:

75 5625 150
11 6 680849 150419 731361 419631 223710 806977 837589 529911 568337 456216 515190 302854 672904 388629 548276 803173 770491 610684 550790 786097 253610 446581 705772 610053 637171 567249 365794 571846 431219 213414 466432 53255 748825 765338 761154 556712 159152 463622 706471 49434 59624...

output:

273492 589359 133317 330674 662071 463649 724388 684378 684378 200061 817785 445229 89268 195276 289550 538589 687833 219768 473001 712605 327779 691549 293935 365231 164046 417391 136898 737469 339927 65283 728368 659418 217910 833004 102359 27191 506861 646926 516499 788116 763852 508398 723551 61...

result:

ok construction is correct.

Test #5:

score: 0
Accepted
time: 57ms
memory: 12560kb

input:

75 5625 150
55 59 136 110 80 141 34 72 121 2 116 38 39 16 56 20 147 81 58 64 24 83 73 30 127 97 128 35 77 96 54 21 106 57 32 115 133 84 50 103 94 45 68 53 31 8 55 44 89 41 36 150 3 28 9 98 66 49 119 101 114 112 82 11 22 124 134 107 105 90 88 145 87 135 26 79 37 122 10 15 104 27 18 120 7 13 46 139 40...

output:

40 42 56 24 142 14 56 56 56 142 56 56 56 56 66 125 56 10 142 56 56 66 66 40 10 56 40 56 66 142 56 56 66 56 56 66 56 56 56 66 46 56 82 66 56 56 10 56 46 142 66 101 46 125 56 66 56 56 56 56 66 142 66 66 142 41 40 40 40 40 81 56 40 56 40 10 66 16 46 142 24 66 56 142 40 66 56 56 66 56 56 56 125 56 56 56...

result:

ok construction is correct.

Test #6:

score: 0
Accepted
time: 141ms
memory: 33288kb

input:

75 3750 150
1 29 15545 372923 77579 125076 509966 151564 332286 414939 296369 227609 9580 52174 99587 224186 2679 309545 38096 115252 281893 44718 259941 187595 500086 197842 267668 399469 254416 114691 268905 112134 257669 210411 135373 423915 537194 17707 204354 99757 234452 307155 82087 64190 309...

output:

53110 160117 433697 415006 35088 211280 44715 232302 101919 554227 81138 76454 376051 196815 489706 489706 197447 421761 384294 75004 43677 489718 490246 317380 307511 178241 321339 197779 111637 114871 258375 131644 214558 490957 418981 57467 437567 424008 95189 432617 512943 260359 156886 444732 4...

result:

ok construction is correct.

Test #7:

score: 0
Accepted
time: 34ms
memory: 8444kb

input:

75 3750 150
43 71 86 127 132 6 139 123 83 37 85 103 52 102 4 148 111 34 110 66 42 130 150 149 53 45 137 129 2 5 87 79 146 47 9 98 96 54 17 126 81 115 7 105 117 119 101 144 74 23 44 19 84 97 50 13 22 94 78 63 134 40 142 76 109 95 12 138 112 72 136 24 77 31 32 118 124 135 68 104 16 1 93 106 128 51 20 ...

output:

116 36 107 116 36 50 36 28 14 93 36 36 84 14 93 36 36 53 36 129 36 36 116 36 84 36 36 36 36 36 28 107 84 36 36 107 84 36 93 36 84 85 36 93 36 28 36 84 84 116 116 36 36 107 104 28 14 84 104 36 104 59 84 36 84 95 85 84 53 36 36 36 116 107 116 84 84 116 28 14 116 107 36 104 14 84 95 104 84 36 84 36 84 ...

result:

ok construction is correct.

Subtask #3:

score: 11
Accepted

Test #8:

score: 11
Accepted
time: 1ms
memory: 4152kb

input:

150 300 2
81 6 1 2
64 88 1 2
5 76 2 1
22 9 2 1
32 142 1 2
97 32 2 1
18 87 1 2
146 100 2 1
56 139 1 2
61 109 2 1
124 105 2 1
126 145 1 2
16 19 1 2
16 138 2 1
131 111 2 1
145 111 2 1
59 59 2 1
89 43 1 2
2 38 1 2
63 149 2 1
46 48 1 2
140 131 1 2
86 10 2 1
116 40 1 2
123 38 2 1
75 109 2 1
131 142 1 2
9 ...

output:

1 1 1 1 1 2 1 1 2 1 2 2 2 1 1 2 2 1 1 1 2 2 2 1 2 2 2 2 1 2 2 1 1 1 1 1 2 2 1 2 2 1 2 2 2 1 2 1 1 1 1 2 2 2 2 2 1 2 1 1 1 2 1 2 2 1 2 1 1 2 2 2 2 1 1 1 2 1 2 1 1 2 1 2 1 2 2 2 1 2 2 1 2 1 1 2 2 2 2 2 1 2 1 2 1 2 1 2 1 1 1 1 1 2 1 2 2 1 2 1 2 2 1 1 2 1 2 1 2 2 1 1 1 1 1 1 2 2 1 2 1 1 1 1 1 2 1 2 2 1 ...

result:

ok construction is correct.

Test #9:

score: 0
Accepted
time: 1ms
memory: 4140kb

input:

150 300 2
60 122 3 1
114 17 2 1
21 19 3 1
134 75 3 1
64 81 2 1
52 33 1 3
45 27 1 2
148 91 2 1
110 100 1 2
100 74 2 3
53 130 3 2
59 19 3 1
149 108 3 1
19 92 1 3
85 66 3 2
80 89 3 2
16 4 2 3
39 90 2 3
53 102 3 1
20 21 3 1
21 112 1 3
76 98 1 2
7 130 3 1
140 129 2 3
139 100 3 1
127 77 1 3
136 113 3 2
54...

output:

3 1 3 1 1 3 2 1 2 2 2 1 1 3 2 2 3 2 1 3 1 2 1 3 1 3 2 2 2 3 1 2 2 1 3 3 1 1 1 2 2 1 3 3 3 2 1 1 1 3 1 2 1 3 3 2 3 2 2 2 3 2 1 3 3 2 2 3 1 2 2 3 2 1 1 1 3 1 3 3 3 3 1 3 1 3 1 3 1 1 2 3 2 1 3 3 2 1 3 3 1 3 1 1 2 2 2 2 2 2 2 2 1 3 2 1 2 2 3 2 2 1 2 1 1 2 2 2 1 1 2 2 3 2 3 2 1 3 3 3 1 3 3 2 2 3 2 2 3 1 ...

result:

ok construction is correct.

Test #10:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

150 300 2
27 132 4 3
36 120 3 4
100 77 2 3
139 62 2 1
106 59 2 3
33 69 2 3
111 14 4 2
90 140 1 2
38 63 2 4
76 49 1 4
49 26 4 2
50 100 2 4
116 7 3 4
143 127 3 4
43 105 3 1
65 72 3 4
94 111 1 2
70 72 1 2
49 107 3 2
92 27 4 2
42 119 4 1
42 46 2 1
88 143 4 3
79 99 2 3
3 84 4 1
85 13 4 2
38 67 1 3
43 31 ...

output:

3 4 3 1 3 2 4 2 4 1 4 4 4 3 1 4 2 2 2 2 4 2 4 3 1 2 3 2 3 4 4 1 2 4 4 4 3 3 1 3 1 2 3 1 4 1 2 2 2 1 1 2 3 4 4 4 4 3 1 3 2 4 1 2 4 1 2 3 3 1 4 2 1 1 2 2 1 2 2 4 4 4 2 2 2 3 3 3 1 4 3 1 4 4 2 3 1 3 2 1 1 3 4 2 3 2 3 2 4 3 3 1 1 4 1 3 1 2 3 1 1 2 4 2 2 3 2 2 4 4 2 2 1 4 4 2 4 4 1 3 1 4 3 1 4 2 4 3 1 4 ...

result:

ok construction is correct.

Test #11:

score: 0
Accepted
time: 1ms
memory: 3932kb

input:

150 300 2
87 61 2 16
114 49 13 10
25 34 13 18
19 62 2 6
44 60 10 14
132 71 20 18
40 51 13 17
67 25 13 18
125 40 19 14
82 53 19 8
66 118 19 3
38 136 6 12
150 135 14 7
75 53 10 1
54 33 4 8
69 19 8 5
129 72 13 17
149 74 14 10
136 117 1 18
13 80 4 18
107 11 13 18
41 14 3 10
15 90 3 11
104 43 6 18
52 80 ...

output:

16 10 18 6 14 18 17 18 14 19 3 12 7 1 8 5 17 10 18 18 18 10 11 18 6 17 17 17 18 2 17 16 19 19 13 8 11 3 11 7 20 10 3 20 4 5 4 12 6 20 7 1 7 13 4 11 19 6 12 2 8 5 20 1 14 1 4 14 1 7 19 14 17 10 2 2 10 11 2 4 6 14 20 3 20 15 3 20 12 6 17 18 8 16 13 5 6 18 7 9 4 3 1 3 10 11 3 17 2 13 6 13 6 1 10 12 1 7...

result:

ok construction is correct.

Test #12:

score: 0
Accepted
time: 1ms
memory: 3864kb

input:

150 300 2
46 114 441 328
119 80 69 102
9 78 444 336
8 47 230 59
60 140 548 248
147 131 36 399
68 86 447 183
97 13 461 318
31 93 536 570
35 41 237 149
53 77 156 95
123 119 562 202
94 26 519 23
129 128 438 80
74 139 454 108
92 68 559 399
140 61 11 178
106 137 15 575
140 15 22 289
65 50 263 546
9 45 31...

output:

328 102 336 59 248 399 183 318 570 149 95 202 23 80 108 399 178 575 289 546 171 523 85 207 371 505 367 230 237 552 547 454 287 229 297 110 260 168 473 90 326 137 118 358 29 51 332 566 527 299 15 453 296 328 154 327 184 467 427 154 453 463 458 526 466 496 253 232 570 106 165 168 323 34 533 155 410 59...

result:

ok construction is correct.

Test #13:

score: 0
Accepted
time: 0ms
memory: 4088kb

input:

150 150 2
138 25 1 2
71 40 2 1
146 116 1 2
110 122 2 1
59 36 1 2
147 145 2 1
80 88 2 1
38 13 1 2
137 6 1 2
57 84 2 1
25 84 2 1
125 75 2 1
73 128 1 2
94 69 2 1
27 18 1 2
89 119 1 2
8 131 1 2
62 3 1 2
32 67 2 1
77 77 2 1
78 6 1 2
142 70 2 1
61 16 2 1
21 129 2 1
2 126 1 2
136 128 1 2
141 35 2 1
65 78 1...

output:

1 1 2 1 1 1 2 2 1 1 2 2 1 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 1 1 1 1 2 2 1 2 1 1 2 2 2 1 1 2 1 1 2 1 2 2 1 2 1 2 2 1 1 2 2 2 2 2 1 2 1 2 2 1 1 1 1 2 1 1 1 2 2 2 2 1 2 2 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 1 2 1 2 2 2 1 2 2 1 2 1 2 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 1

result:

ok construction is correct.

Test #14:

score: 0
Accepted
time: 0ms
memory: 3908kb

input:

150 150 2
73 97 3 2
50 90 3 1
106 133 1 3
2 65 1 2
47 141 3 2
75 24 1 2
93 85 2 1
14 12 3 2
53 15 2 1
136 120 1 3
68 49 1 2
13 127 2 3
26 87 1 3
78 79 1 3
130 97 3 1
3 8 3 1
55 3 3 1
122 27 3 1
39 51 2 3
72 64 2 3
85 98 2 1
148 18 2 1
90 110 3 1
21 89 2 1
116 75 1 2
52 99 1 2
41 29 1 3
60 130 2 1
10...

output:

3 1 3 1 2 1 2 3 2 1 2 3 1 1 1 3 3 3 2 2 1 2 1 2 2 2 1 2 1 2 1 1 2 1 1 2 2 2 3 3 3 3 3 2 1 2 2 3 2 2 2 3 1 3 3 2 3 3 3 1 3 2 1 1 3 3 1 3 3 2 3 2 1 1 2 3 2 2 2 2 3 2 1 3 1 2 3 2 1 1 3 1 2 3 1 1 3 3 2 3 1 1 3 2 3 3 2 3 3 1 1 1 3 1 1 3 3 3 3 3 1 3 2 3 3 2 1 3 3 2 2 3 1 2 2 2 2 2 2 1 3 1 3 2 3 1 1 1 1 1

result:

ok construction is correct.

Test #15:

score: 0
Accepted
time: 0ms
memory: 4124kb

input:

150 150 2
134 2 3 4
139 116 2 4
100 69 1 4
45 66 4 2
24 64 2 3
93 43 4 2
137 144 1 3
40 105 1 4
134 108 2 4
98 40 3 1
20 144 3 1
11 51 3 2
101 89 1 3
46 53 1 2
39 23 1 3
109 40 2 3
30 7 2 3
142 6 1 3
38 112 4 2
108 28 1 2
111 32 1 4
28 49 4 2
89 14 2 4
65 143 4 3
43 8 1 2
92 56 4 2
106 53 2 4
117 14...

output:

4 4 1 4 2 2 1 1 2 1 3 3 1 2 1 2 3 1 2 2 1 4 2 4 2 4 4 2 2 4 1 2 1 4 4 3 4 2 3 2 1 3 2 2 3 4 1 2 4 1 3 3 3 2 3 2 3 4 2 2 1 3 1 4 3 1 4 1 2 3 3 1 1 2 1 3 1 2 2 2 3 2 2 1 4 3 3 1 3 1 3 3 4 4 3 4 1 4 1 4 1 3 4 4 1 1 4 2 1 2 3 2 4 1 1 4 1 3 2 4 3 2 1 2 4 2 4 2 2 3 4 2 3 3 1 3 2 2 3 2 3 3 3 1 4 4 1 2 1 4

result:

ok construction is correct.

Test #16:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

150 150 2
42 118 2 5
44 13 7 14
95 7 20 11
92 142 11 19
96 150 10 18
11 52 6 18
66 48 1 13
17 5 13 16
91 22 8 20
19 71 15 6
73 61 10 5
50 63 3 14
101 143 20 5
52 114 12 17
111 60 19 9
20 4 6 7
54 63 16 18
31 31 9 4
33 148 10 8
37 32 17 19
60 57 20 8
31 136 8 1
65 87 19 4
138 72 6 17
71 112 8 20
83 3...

output:

2 14 20 11 10 6 1 13 8 6 5 14 5 12 19 7 16 9 8 17 20 8 19 17 8 11 2 6 9 8 13 10 2 19 9 1 1 12 18 10 18 20 20 6 19 4 8 3 13 2 13 20 19 8 1 19 10 14 5 16 11 20 8 11 4 17 6 7 11 18 5 8 2 16 5 7 10 5 20 7 8 15 9 15 13 17 5 16 5 17 19 20 1 17 12 18 16 5 3 14 1 13 20 18 6 7 8 10 9 3 15 19 15 19 18 18 10 3...

result:

ok construction is correct.

Test #17:

score: 0
Accepted
time: 0ms
memory: 4092kb

input:

150 150 2
137 126 61 39
96 140 224 95
145 72 296 11
23 92 241 36
98 129 102 20
90 41 85 39
41 113 188 148
93 131 282 107
10 76 23 225
8 16 16 124
115 135 270 30
20 129 88 48
110 125 94 272
101 98 56 238
106 116 125 110
73 138 234 193
22 127 245 8
58 29 8 140
86 36 212 170
40 97 288 204
30 50 109 75
...

output:

39 95 296 241 20 85 188 282 23 16 30 88 272 238 125 234 8 8 212 288 109 280 286 221 200 129 221 76 94 73 87 71 88 43 79 32 215 138 232 82 294 12 85 9 246 6 67 32 191 208 296 190 92 97 55 200 14 42 278 209 266 151 235 132 237 222 102 204 198 201 154 245 133 149 26 21 138 261 47 128 87 93 144 74 126 2...

result:

ok construction is correct.

Subtask #4:

score: 37
Accepted

Test #18:

score: 37
Accepted
time: 302ms
memory: 35740kb

input:

149 22201 150
106 24 20 90 56 109 85 33 76 25 97 77 134 75 15 24 88 16 93 126 43 94 116 120 28 130 21 140 70 111 71 32 29 41 132 39 84 62 27 92 55 117 129 125 127 104 74 114 14 145 36 121 22 69 68 133 59 65 58 148 131 40 54 118 110 3 61 105 4 112 142 122 73 37 1 113 45 87 57 89 103 98 100 63 146 106...

output:

23 36 36 39 36 113 122 36 113 84 130 5 36 36 36 113 36 124 36 23 1 26 36 36 36 36 113 113 113 36 36 36 72 1 36 130 36 36 23 36 113 36 1 29 113 36 115 26 1 113 36 113 36 36 3 36 39 113 72 36 130 113 113 113 113 85 36 1 141 26 36 113 1 36 26 36 36 61 36 23 36 113 134 36 113 72 113 113 36 36 36 113 36 ...

result:

ok construction is correct.

Test #19:

score: 0
Accepted
time: 290ms
memory: 35856kb

input:

149 22201 150
59 87 57 143 9 144 61 104 129 116 26 50 73 24 138 78 82 137 4 100 81 69 101 140 102 115 149 18 42 54 16 28 75 74 130 70 35 12 29 36 2 121 62 37 21 64 71 133 110 96 58 67 59 128 124 56 106 103 53 107 49 141 90 105 8 1 65 13 146 77 83 22 134 84 108 119 44 15 32 88 17 79 48 33 46 120 111 ...

output:

140 86 140 110 45 86 140 140 86 86 86 86 144 133 86 91 140 86 86 91 86 86 86 86 94 140 142 140 140 86 86 140 86 130 140 86 86 86 140 70 91 86 140 91 86 86 140 82 86 86 86 86 19 91 86 110 91 94 91 86 86 86 133 18 11 142 86 86 86 91 133 91 140 86 133 86 86 142 138 86 86 96 140 140 17 86 140 133 142 14...

result:

ok construction is correct.

Test #20:

score: 0
Accepted
time: 299ms
memory: 35988kb

input:

149 22201 150
85 67 67 47 152 75 90 126 113 128 46 30 36 85 21 97 79 16 61 39 120 99 153 105 76 107 56 116 118 119 122 94 9 127 12 15 68 104 80 7 100 146 125 95 53 112 74 143 81 27 1 52 40 71 29 88 139 69 13 11 92 132 45 42 38 151 3 60 24 91 2 25 86 133 41 10 33 135 82 57 110 6 114 140 138 62 87 64 ...

output:

51 138 137 54 137 137 137 111 137 137 137 111 28 127 141 111 137 143 51 148 137 137 143 81 137 44 60 137 137 111 138 137 137 152 148 137 137 154 137 31 137 143 111 111 137 137 143 137 119 40 148 137 137 111 137 28 87 137 137 137 111 137 72 137 111 93 137 111 111 51 137 143 111 138 81 137 138 51 111 ...

result:

ok construction is correct.

Test #21:

score: 0
Accepted
time: 281ms
memory: 37024kb

input:

149 22201 150
20 14 155 45 96 11 71 74 38 143 146 165 31 128 56 133 137 127 4 75 108 44 69 77 141 55 113 22 163 54 67 29 23 37 63 148 25 117 97 65 89 76 51 112 139 151 109 66 82 114 13 80 73 119 61 84 53 40 156 24 20 164 50 122 124 158 8 118 7 120 160 154 152 145 46 138 30 162 132 16 59 15 91 94 52 ...

output:

23 124 23 23 124 137 124 2 23 23 23 23 2 124 23 23 124 2 23 23 23 124 25 53 124 23 123 23 124 100 12 23 124 23 124 124 23 124 23 91 23 23 124 23 124 23 65 59 23 124 100 124 23 23 23 23 23 124 12 23 55 23 124 81 12 23 2 2 23 2 23 53 137 59 53 23 137 124 134 23 23 23 23 23 23 23 23 124 12 23 124 23 23...

result:

ok construction is correct.

Test #22:

score: 0
Accepted
time: 636ms
memory: 83260kb

input:

149 22201 150
64 32 323179 933179 87351 997262 611605 404909 732640 452641 642757 539724 945803 438567 594564 413639 542011 13240 428009 469975 976134 998911 916345 580907 215711 24916 933666 193524 159822 766638 161868 151754 502972 194801 55497 466348 151018 849178 317067 34382 293653 929582 83436...

output:

323179 839038 548746 594030 981148 132429 228715 935714 891291 192278 885592 375657 645679 379164 904065 89577 68781 395489 667526 60599 192099 749454 217164 994702 609649 706673 817167 507966 310340 850425 402960 100890 757038 532308 742198 173368 750883 209316 940630 131434 901799 760318 665357 28...

result:

ok construction is correct.

Subtask #5:

score: 21
Accepted

Test #23:

score: 21
Accepted
time: 297ms
memory: 36112kb

input:

150 22500 150
117 116 91 74 113 95 110 26 141 115 38 66 71 138 17 83 112 99 149 18 3 44 15 28 53 114 96 37 7 145 20 109 80 19 117 16 63 27 42 137 135 132 14 39 1 148 147 30 68 126 12 32 57 67 119 139 124 46 133 24 36 51 69 88 131 60 86 140 102 29 100 150 35 123 84 85 90 105 75 45 77 143 130 127 98 7...

output:

95 95 46 46 95 63 63 95 97 63 95 127 46 46 46 95 32 95 63 127 95 95 95 95 13 63 63 95 46 63 35 61 95 63 63 95 46 95 103 95 46 95 95 95 95 95 95 35 95 63 63 95 95 63 95 46 95 81 95 95 13 95 63 10 95 95 81 95 95 10 81 127 37 81 63 77 63 95 24 95 95 13 95 63 63 81 63 63 24 95 95 95 106 63 95 148 108 63...

result:

ok construction is correct.

Test #24:

score: 0
Accepted
time: 304ms
memory: 36072kb

input:

150 22500 150
147 68 107 8 61 49 133 15 148 55 122 84 72 75 29 19 118 99 51 79 142 117 11 50 149 69 87 45 73 92 41 110 56 144 128 47 77 78 141 48 31 53 136 103 94 26 145 151 121 46 101 58 38 10 102 126 22 140 138 40 129 96 82 150 95 30 27 100 28 13 114 74 81 52 116 17 4 143 66 90 20 2 111 21 7 91 68...

output:

83 18 136 94 51 122 18 139 112 18 18 44 148 18 98 18 18 122 122 122 18 18 18 122 102 135 26 18 18 18 44 112 136 18 18 122 122 18 18 112 122 18 18 122 18 136 122 18 136 69 18 136 122 18 18 18 94 18 27 122 18 18 18 69 122 122 143 122 122 112 110 18 122 18 14 18 139 18 18 18 26 95 18 18 69 18 9 122 58 ...

result:

ok construction is correct.

Test #25:

score: 0
Accepted
time: 301ms
memory: 36184kb

input:

150 22500 150
53 59 70 142 54 108 56 6 22 92 39 80 38 84 125 144 117 127 74 71 40 140 33 146 145 72 85 44 128 45 86 94 93 66 34 52 21 59 57 137 78 120 63 67 13 124 2 126 60 76 79 102 116 100 23 150 58 115 107 82 104 138 97 151 106 131 152 42 132 77 32 11 89 55 30 31 95 49 65 96 141 135 17 114 143 14...

output:

64 5 64 128 64 64 64 42 31 64 42 64 98 5 42 64 64 42 42 64 42 64 64 42 64 64 64 64 64 72 72 42 101 42 2 95 42 95 46 136 42 64 42 64 133 64 64 133 64 42 64 101 42 42 42 130 72 64 64 64 64 60 95 64 17 64 60 64 60 72 98 44 64 95 64 60 64 5 60 60 64 42 31 60 42 5 64 64 64 64 64 101 42 42 60 42 101 72 60...

result:

ok construction is correct.

Test #26:

score: 0
Accepted
time: 294ms
memory: 36352kb

input:

150 22500 150
81 87 83 67 109 57 147 69 102 72 25 29 39 94 56 73 27 41 81 53 144 101 135 117 127 96 5 145 155 22 87 106 38 19 14 86 58 97 20 35 65 124 47 93 50 10 75 80 52 31 76 154 126 78 91 113 42 118 9 115 15 51 149 141 119 134 92 74 64 129 66 103 110 49 85 143 133 148 12 61 142 151 131 153 21 34...

output:

86 31 63 31 28 31 31 63 63 63 4 31 31 63 31 31 4 122 4 86 31 86 31 6 31 4 31 63 31 155 31 31 31 31 122 4 63 1 31 4 31 122 31 31 31 31 122 31 6 31 86 31 4 4 31 86 86 63 4 31 31 127 86 122 31 63 50 89 89 63 31 31 63 122 63 4 63 4 132 31 31 82 31 41 40 31 63 63 148 103 122 31 4 20 86 31 31 31 122 63 86...

result:

ok construction is correct.

Test #27:

score: 0
Accepted
time: 288ms
memory: 36900kb

input:

150 22500 150
21 135 30 53 162 62 34 163 112 104 16 67 48 161 137 99 94 93 158 20 70 91 12 148 40 24 141 131 29 132 14 44 31 7 167 146 35 113 45 39 136 84 142 108 87 123 129 85 58 134 5 166 28 73 128 56 80 147 155 6 149 76 41 36 88 66 121 86 168 97 63 47 26 116 169 151 95 15 100 19 50 103 98 126 38 ...

output:

49 49 49 121 44 49 49 118 49 49 150 55 49 49 49 130 49 44 44 44 49 49 121 44 2 126 106 49 118 121 49 49 49 49 56 52 49 49 49 44 49 106 49 121 121 49 154 121 49 121 49 51 154 33 49 121 121 17 112 121 121 121 121 44 49 128 62 16 49 49 121 44 121 49 49 92 49 49 44 49 112 49 121 154 121 44 112 121 121 1...

result:

ok construction is correct.

Test #28:

score: 0
Accepted
time: 634ms
memory: 83788kb

input:

150 22500 150
142 84 95127 811376 352518 34572 172491 645409 426070 585385 839136 465937 516075 461423 149284 929627 554965 743036 475305 268781 574670 840165 214086 131675 655651 402556 295405 797734 729790 132978 283490 807542 165311 188276 808619 466578 568749 15488 450230 528624 262879 824125 58...

output:

476450 304299 669696 339078 885508 356541 870536 434229 133921 922116 578723 853773 809838 314335 309113 745900 587746 757083 271731 238058 859533 288092 863766 415266 327851 917391 73171 516641 953787 632904 628674 695396 479484 95533 996971 385603 600542 525359 921741 980956 285553 652157 771215 7...

result:

ok construction is correct.

Subtask #6:

score: 0
Time Limit Exceeded

Test #29:

score: 28
Accepted
time: 1ms
memory: 4168kb

input:

150 450 3
57 22 2 1 3
142 57 1 3 2
138 113 3 1 2
13 77 2 3 1
43 112 1 2 3
82 99 2 1 3
66 65 3 1 2
3 31 2 1 3
24 146 3 2 1
127 18 2 3 1
125 37 1 2 3
13 137 1 2 3
105 127 1 3 2
54 20 1 2 3
48 15 3 1 2
23 71 2 3 1
30 28 1 2 3
125 146 1 3 2
68 120 2 1 3
38 92 2 1 3
101 100 1 3 2
81 28 1 3 2
70 7 1 2 3
1...

output:

1 2 2 1 2 1 1 1 1 3 1 2 3 3 2 2 3 2 1 1 2 1 1 2 2 1 1 3 3 2 1 3 2 3 2 1 3 3 3 1 1 3 2 1 3 3 1 1 3 1 1 2 1 1 1 1 1 3 2 1 2 3 3 3 2 1 1 2 1 2 1 1 1 1 3 3 3 2 3 2 3 1 1 2 2 2 2 1 1 2 1 1 1 1 1 3 3 2 3 2 2 3 1 3 1 1 2 2 3 1 3 3 3 1 1 1 3 3 1 1 1 1 3 1 1 1 2 2 1 1 1 2 3 2 1 2 1 3 2 2 1 2 3 2 3 3 2 1 2 2 ...

result:

ok construction is correct.

Test #30:

score: 0
Accepted
time: 0ms
memory: 3976kb

input:

150 450 3
148 73 905 1007 1204
72 13 614 952 114
72 3 1026 931 764
33 21 1143 204 536
19 112 694 1261 734
104 68 1057 72 1249
83 66 311 147 656
141 5 1349 1317 700
12 113 331 375 1165
49 7 1114 1149 1224
79 41 531 46 712
128 20 630 1175 399
35 74 421 1148 608
57 124 840 108 1238
63 22 922 403 203
35...

output:

1204 952 764 536 1261 72 311 1317 375 1149 712 630 421 840 203 1032 910 379 198 708 890 211 42 654 939 976 1321 835 1233 94 212 1288 650 639 130 708 990 797 249 564 1067 313 529 567 911 1184 381 460 911 1077 894 1321 535 1150 655 122 233 405 664 1317 250 25 1336 1067 1342 1068 1127 523 366 729 1195 ...

result:

ok construction is correct.

Test #31:

score: -28
Time Limit Exceeded

input:

150 450 3
111 66 3 4 1
62 51 3 2 4
117 58 3 4 1
54 105 1 3 4
40 108 3 1 4
104 112 2 4 1
131 73 4 3 1
109 30 1 4 3
36 130 3 4 2
40 70 2 3 1
24 112 3 1 4
44 119 4 1 2
39 91 1 4 3
28 118 1 2 3
8 117 2 4 1
110 109 3 1 4
99 20 4 1 2
131 49 4 1 2
130 114 1 4 3
133 57 3 1 2
41 125 1 3 4
21 65 1 2 3
144 143...

output:


result: