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QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#120185#6309. Aqrehos_lyricAC ✓7ms5756kbC++145.5kb2023-07-06 14:43:142023-07-06 14:43:20

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-06 14:43:20]
  • 评测
  • 测评结果:AC
  • 用时:7ms
  • 内存:5756kb
  • [2023-07-06 14:43:14]
  • 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 <map>
#include <numeric>
#include <queue>
#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; }


vector<int> uf;
int root(int u) {
  return (uf[u] < 0) ? u : (uf[u] = root(uf[u]));
}
bool connect(int u, int v) {
  u = root(u);
  v = root(v);
  if (u == v) return false;
  if (uf[u] > uf[v]) swap(u, v);
  uf[u] += uf[v];
  uf[v] = u;
  return true;
}


// 1x4 as many as possible
int bound(int M, int N) {
  if (M > N) {
    swap(M, N);
  }
  if (M <= 3) {
    return M * (N / 4);
  } else {
    int ret = (M * N) / 4;
    if (M % 4 == 2 && N % 4 == 2) {
      --ret;
    }
    return ret;
  }
}

vector<string> solve(int M, int N) {
  vector<string> ans(M, string(N, '1'));
  if (M > N) {
    const auto res = solve(N, M);
    for (int x = 0; x < M; ++x) for (int y = 0; y < N; ++y) {
      ans[x][y] = res[y][x];
    }
  } else {
    if (N <= 3) {
      // all 1
    } else if (M <= 3) {
      const int Y0[4] = {3, 1};
      for (int x = 0; x < M; ++x) {
        for (int y = Y0[x % 2]; y < N; y += 4) {
          ans[x][y] = '0';
        }
      }
    } else {
      vector<int> Y0 = {1, 3, 0, 2};
      if (false) {
      } else if (M % 4 == 1 && N % 4 == 2) {
        Y0 = {2, 0, 1, 3};
      } else if (M % 4 == 1 && N % 4 == 3) {
        Y0 = {3, 1, 2, 0};
      } else if (M % 4 == 2 && N % 4 == 2) {
        // special
        Y0 = {2, 3, 1, 0};
      } else if (M % 4 == 3 && N % 4 == 1) {
        Y0 = {3, 1, 2, 0};
      } else if (M % 4 == 3 && N % 4 == 2) {
        Y0 = {3, 1, 2, 0};
      }
      for (int x = 0; x < M; ++x) {
        for (int y = Y0[x % 4]; y < N; y += 4) {
          ans[x][y] = '0';
        }
      }
    }
  }
  return ans;
}

void stress() {
  constexpr int lim = 30;
  for (int M = 2; M <= lim; ++M) for (int N = 2; N <= lim; ++N) {
    cerr << "M = " << M << ", N = " << N << endl;
    const int bd = bound(M, N);
    const auto slv = solve(M, N);
    auto judge = [&]() -> int {
      if ((int)slv.size() != M) return __LINE__;
      for (int x = 0; x < M; ++x) {
        if ((int)slv[x].size() != N) return __LINE__;
      }
      for (int x = 0; x < M; ++x) for (int y = 0; y < N; ++y) {
        if (!(slv[x][y] == '0' || slv[x][y] == '1')) return __LINE__;
      }
      for (int x = 0; x < M; ++x) {
        for (int y = 0; y + 4 <= N; ++y) {
          if (slv[x][y] == slv[x][y + 1] && slv[x][y] == slv[x][y + 2] && slv[x][y] == slv[x][y + 3]) return __LINE__;
        }
      }
      for (int y = 0; y < N; ++y) {
        for (int x = 0; x + 4 <= M; ++x) {
          if (slv[x][y] == slv[x + 1][y] && slv[x][y] == slv[x + 2][y] && slv[x][y] == slv[x + 3][y]) return __LINE__;
        }
      }
      uf.assign(M * N, -1);
      for (int x = 0; x < M; ++x) for (int y = 0; y < N; ++y) if (slv[x][y] == '1') {
        if (x + 1 < M && slv[x + 1][y] == '1') connect(x * N + y, (x + 1) * N + y);
        if (y + 1 < N && slv[x][y + 1] == '1') connect(x * N + y, x * N + (y + 1));
      }
      int numComps = 0;
      for (int x = 0; x < M; ++x) for (int y = 0; y < N; ++y) if (slv[x][y] == '1') {
        if (uf[x * N + y] < 0) ++numComps;
      }
      if (numComps != 1) return __LINE__;
      return 0;
    };
    const int verdict = judge();
    if (verdict) {
      cerr << "M = " << M << ", N = " << N << endl;
      for (const auto &row : slv) {
        cerr << row << endl;
      }
      cerr << "  verdict = " << verdict << endl;
      assert(false);
    }
    int cnt0 = 0;
    for (int x = 0; x < M; ++x) for (int y = 0; y < N; ++y) if (slv[x][y] == '0') {
      ++cnt0;
    }
    if (cnt0 != bd) {
      cerr << "M = " << M << ", N = " << N << endl;
      for (int x = 0; x < M; ++x) {
        cerr << slv[x] << endl;
      }
      cerr << "  bd = " << bd << endl;
      cerr << "  cnt0 = " << cnt0 << endl;
      if (M == 2 || N == 2) continue;
      if (M == 3 || N == 3) continue;
      assert(false);
    }
  }
}

int main() {
  // stress(); return 0;
  
  for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
    int M, N;
    scanf("%d%d", &M, &N);
    
    const auto ans = solve(M, N);
    int cnt1 = 0;
    for (int x = 0; x < M; ++x) for (int y = 0; y < N; ++y) if (ans[x][y] == '1') {
      ++cnt1;
    }
    
    printf("%d\n", cnt1);
    for (int x = 0; x < M; ++x) {
      puts(ans[x].c_str());
    }
  }
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 3704kb

input:

3
2 2
3 4
3 8

output:

4
11
11
9
1110
1011
1110
18
11101110
10111011
11101110

result:

ok ok (3 test cases)

Test #2:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

361
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
2 11
2 12
2 13
2 14
2 15
2 16
2 17
2 18
2 19
2 20
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
3 11
3 12
3 13
3 14
3 15
3 16
3 17
3 18
3 19
3 20
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
4 11
4 12
4 13
4 14
4 15
4 16
4 17
4 18
4 19
4 20
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 1...

output:

4
11
11
6
111
111
6
1110
1011
8
11101
10111
9
111011
101110
11
1110111
1011101
12
11101110
10111011
14
111011101
101110111
15
1110111011
1011101110
17
11101110111
10111011101
18
111011101110
101110111011
20
1110111011101
1011101110111
21
11101110111011
10111011101110
23
111011101110111
1011101110111...

result:

ok ok (361 test cases)

Test #3:

score: 0
Accepted
time: 4ms
memory: 3616kb

input:

100
91 91
91 92
91 93
91 94
91 95
91 96
91 97
91 98
91 99
91 100
92 91
92 92
92 93
92 94
92 95
92 96
92 97
92 98
92 99
92 100
93 91
93 92
93 93
93 94
93 95
93 96
93 97
93 98
93 99
93 100
94 91
94 92
94 93
94 94
94 95
94 96
94 97
94 98
94 99
94 100
95 91
95 92
95 93
95 94
95 95
95 96
95 97
95 98
95 9...

output:

6211
1011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111
0111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011
1101110111011101110...

result:

ok ok (100 test cases)

Test #4:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

16
247 247
247 248
247 249
247 250
248 247
248 248
248 249
248 250
249 247
249 248
249 249
249 250
250 247
250 248
250 249
250 250

output:

45757
1011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101
1110111011101110111011101110111011101110111011...

result:

ok ok (16 test cases)

Test #5:

score: 0
Accepted
time: 5ms
memory: 4656kb

input:

1
997 997

output:

745507
10111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #6:

score: 0
Accepted
time: 2ms
memory: 4660kb

input:

1
997 998

output:

746255
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #7:

score: 0
Accepted
time: 5ms
memory: 4668kb

input:

1
997 999

output:

747003
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #8:

score: 0
Accepted
time: 4ms
memory: 4680kb

input:

1
997 1000

output:

747750
10111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #9:

score: 0
Accepted
time: 4ms
memory: 5732kb

input:

1
998 997

output:

746255
10111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #10:

score: 0
Accepted
time: 4ms
memory: 4600kb

input:

1
998 998

output:

747004
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #11:

score: 0
Accepted
time: 0ms
memory: 4660kb

input:

1
998 999

output:

747752
10111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #12:

score: 0
Accepted
time: 5ms
memory: 4676kb

input:

1
998 1000

output:

748500
10111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #13:

score: 0
Accepted
time: 3ms
memory: 5756kb

input:

1
999 997

output:

747003
11101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101...

result:

ok ok (1 test case)

Test #14:

score: 0
Accepted
time: 4ms
memory: 5676kb

input:

1
999 998

output:

747752
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #15:

score: 0
Accepted
time: 4ms
memory: 4716kb

input:

1
999 999

output:

748501
10111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #16:

score: 0
Accepted
time: 1ms
memory: 4680kb

input:

1
999 1000

output:

749250
10111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #17:

score: 0
Accepted
time: 7ms
memory: 5692kb

input:

1
1000 997

output:

747750
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #18:

score: 0
Accepted
time: 3ms
memory: 5684kb

input:

1
1000 998

output:

748500
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #19:

score: 0
Accepted
time: 6ms
memory: 5700kb

input:

1
1000 999

output:

749250
11011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011...

result:

ok ok (1 test case)

Test #20:

score: 0
Accepted
time: 0ms
memory: 4768kb

input:

1
1000 1000

output:

750000
10111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #21:

score: 0
Accepted
time: 1ms
memory: 3676kb

input:

1
3 997

output:

2244
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #22:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

1
3 998

output:

2246
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #23:

score: 0
Accepted
time: 1ms
memory: 3644kb

input:

1
3 999

output:

2249
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #24:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

1
3 1000

output:

2250
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #25:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

1
997 3

output:

2244
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101...

result:

ok ok (1 test case)

Test #26:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

1
998 3

output:

2246
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101...

result:

ok ok (1 test case)

Test #27:

score: 0
Accepted
time: 1ms
memory: 3696kb

input:

1
999 3

output:

2249
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101...

result:

ok ok (1 test case)

Test #28:

score: 0
Accepted
time: 1ms
memory: 3796kb

input:

1
1000 3

output:

2250
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101
111
010
111
101...

result:

ok ok (1 test case)

Test #29:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

1
2 997

output:

1496
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #30:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

1
2 998

output:

1497
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #31:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

1
2 999

output:

1499
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #32:

score: 0
Accepted
time: 1ms
memory: 3760kb

input:

1
2 1000

output:

1500
1110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111...

result:

ok ok (1 test case)

Test #33:

score: 0
Accepted
time: 1ms
memory: 3776kb

input:

1
997 2

output:

1496
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
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10
11
01
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10
11
01
11
10
11
01
11
10
11
01
11
10
1...

result:

ok ok (1 test case)

Test #34:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

1
998 2

output:

1497
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
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01
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01
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01
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01
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01
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01
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01
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10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
1...

result:

ok ok (1 test case)

Test #35:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

1
999 2

output:

1499
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
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10
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01
11
10
11
01
11
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11
01
11
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11
01
11
10
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01
11
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01
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01
11
10
11
01
11
10
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01
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10
11
01
11
10
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01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
1...

result:

ok ok (1 test case)

Test #36:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

1
1000 2

output:

1500
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
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01
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11
01
11
10
11
01
11
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11
01
11
10
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01
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01
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01
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01
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01
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11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
11
01
11
10
1...

result:

ok ok (1 test case)