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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
#116944#6667. Prosjekhos_lyric#100 ✓478ms39424kbC++147.6kb2023-06-30 11:07:562024-05-31 18:35:12

Judging History

你现在查看的是最新测评结果

  • [2024-05-31 18:35:12]
  • 评测
  • 测评结果:100
  • 用时:478ms
  • 内存:39424kb
  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-30 11:07:56]
  • 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 <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; }


inline int bsf(Int x) {
  return __builtin_ctzll(x);
}

map<vector<Int>, pair<int, int>> cache;
pair<int, int> brute(const vector<Int> &as) {
  const int asLen = as.size();
  if (asLen <= 1) return make_pair(-2, -2);
  
  auto it = cache.find(as);
  if (it != cache.end()) return it->second;
  pair<int, int> ret(-1, -1);
  
  for (int i = 0; i < asLen; ++i) for (int j = i + 1; j < asLen; ++j) {
    if ((as[i] + as[j]) % 2 == 0) {
      auto bs = as;
      bs[i] = (bs[i] + bs[j]) / 2;
      bs.erase(bs.begin() + j);
      sort(bs.begin(), bs.end());
      const auto res = brute(bs);
      if (~res.first) {
        ret = make_pair(i, j);
        goto foundBrute;
      }
    }
  }
 foundBrute:{}
  
  return cache[as] = ret;
}


Int solveSame(int h, vector<Int> as, vector<pair<Int, Int>> &ops) {
  int n = as.size();
  auto invariant = [&]() -> void {
#ifdef LOCAL
    for (int i = 0; i < n; ++i) {
      assert((as[i] & 1) == h);
    }
#endif
  };
  if (n == 1) {
    return as[0];
  }
  for (; n >= 3; --n) {
    invariant();
    Int &a = as[n - 3], &b = as[n - 2], &c = as[n - 1];
    if (false) {}
    else if ((((b + c) / 2) & 1) == h) { ops.emplace_back(b, c); b = (b + c) / 2; }
    else if ((((a + c) / 2) & 1) == h) { ops.emplace_back(a, c); a = (a + c) / 2; }
    else if ((((a + b) / 2) & 1) == h) { ops.emplace_back(a, b); a = (a + b) / 2; b = c; }
    else {
      assert(false);
    }
  }
  ops.emplace_back(as[0], as[1]);
  return (as[0] + as[1]) / 2;
}

vector<Int> solveParity(int h, vector<Int> as, vector<pair<Int, Int>> &ops) {
  int n = as.size();
  auto invariant = [&]() -> void {
#ifdef LOCAL
    for (int i = 0; i < n; ++i) {
      assert((as[i] & 1) == h);
    }
    Int g = 0;
    for (int i = 1; i < n; ++i) {
      g = __gcd(g, as[i] - as[0]);
    }
    assert(g != 0);
    assert(bsf(g) < n);
#endif
  };
  
  invariant();
  for (; n >= 62; --n) {
    invariant();
    Int &a = as[n - 3], &b = as[n - 2], &c = as[n - 1];
    if (false) {}
    else if ((((b + c) / 2) & 1) == h) { ops.emplace_back(b, c); b = (b + c) / 2; }
    else if ((((a + c) / 2) & 1) == h) { ops.emplace_back(a, c); a = (a + c) / 2; }
    else if ((((a + b) / 2) & 1) == h) { ops.emplace_back(a, b); a = (a + b) / 2; b = c; }
    else {
      assert(false);
    }
  }
  for (; n >= 4; --n) {
    invariant();
    auto yaru = [&](int i, int j) -> void {
      ops.emplace_back(as[i], as[j]);
      as[i] = (as[i] + as[j]) / 2;
      as[j] = as[n - 1];
    };
    // \exists &mask0 ==> \exists &mask1
    for (int i = 0; i < n; ++i) for (int j = i + 1; j < n; ++j) {
      if ((((as[i] + as[j]) / 2) & 1) == h) {
        const Int b = (as[i] + as[j]) / 2;
        Int g = 0;
        for (int k = 0; k < n; ++k) if (i != k && j != k) {
          g = __gcd(g, as[k] - b);
        }
        if (g != 0 && bsf(g) < n - 1) {
          yaru(i, j);
          goto found;
        }
      }
    }
cerr<<"HELP "<<n<<" "<<as<<endl;
    assert(false);
   found:{}
  }
  invariant();
  as.resize(n);
  return as;
}

vector<pair<Int, Int>> solve(const vector<Int> &A) {
  const int N = A.size();
  vector<Int> bss[2];
  for (int i = 0; i < N; ++i) {
    bss[A[i] & 1].push_back(A[i]);
  }
  vector<pair<Int, Int>> ops;
  for (int h = 0; h < 2; ++h) {
    if (bss[h].empty()) {
      solveSame(h ^ 1, bss[h ^ 1], ops);
      return ops;
    }
  }
  for (int h = 0; h < 2; ++h) {
    Int g = 0;
    for (const Int b : bss[h]) {
      g = __gcd(g, b - bss[h][0]);
    }
    if (g != 0 && bsf(g) < (int)bss[h].size()) {
      const Int c1 = solveSame(h ^ 1, bss[h ^ 1], ops);
      auto cs = solveParity(h, bss[h], ops);
      cs.push_back(c1);
// cerr<<A<<" -> "<<cs<<endl;
      sort(cs.begin(), cs.end());
      for (; cs.size() > 1; ) {
        const auto res = brute(cs);
        assert(~res.first);
        const int i = res.first, j = res.second;
        ops.emplace_back(cs[i], cs[j]);
        cs[i] = (cs[i] + cs[j]) / 2;
        cs.erase(cs.begin() + j);
        sort(cs.begin(), cs.end());
      }
      return ops;
    }
  }
  return ops;
}


void judge(const vector<Int> &A, const vector<pair<Int, Int>> &ops) {
  multiset<Int> as(A.begin(), A.end());
  for (const auto &op : ops) {
    for (const Int x : {op.first, op.second}) {
      auto it = as.find(x);
      assert(it != as.end());
      as.erase(it);
    }
    assert((op.first + op.second) % 2 == 0);
    as.insert((op.first + op.second) / 2);
  }
  assert(as.size() == 1);
}

void test(const vector<Int> &as) {
  const int n = as.size();
  const auto res = brute(as);
  set<Int> ss[2];
  for (int i = 0; i < n; ++i) {
    ss[as[i] & 1].insert(as[i]);
  }
  Int gs[2] = {};
  for (int h = 0; h < 2; ++h) {
    for (const Int a : ss[h]) {
      gs[h] = __gcd(gs[h], a - *ss[h].begin());
    }
  }
  
  if (!~res.first) {
    // cout << as << ": " << res << " " << gs[0] << " " << gs[1] << endl;
  }
  bool good = false;
  for (int h = 0; h < 2; ++h) {
    const int sz = ss[h].size();
    good = good || (gs[h] != 0 && bsf(gs[h]) < sz);
  }
  if (good) {
    if (!~res.first) {
      cerr << as << ": " << res << " " << gs[0] << " " << gs[1] << endl;
    }
    assert(~res.first);
  }
  
  /*
  if (ss[0].empty() || ss[1].empty()) {
    const auto slv = solve(as);
    assert(!as.empty());
    judge(as, slv);
  }
  */
  const auto slv = solve(as);
  if (~res.first) {
    judge(as, slv);
  } else {
    assert(slv.empty());
  }
}
void dfs(int n, int limA, int i, vector<Int> &as) {
  if (i == n) {
    test(as);
  } else {
    for (as[i] = i ? as[i - 1] : 0; as[i] < limA; ++as[i]) {
      dfs(n, limA, i + 1, as);
    }
  }
}
void stress() {
  for (int n = 2; n <= 11; ++n) {
    vector<Int> as(n);
    dfs(n, 17, 0, as);
    cerr << "DONE n = " << n << endl;
  }
}

int main() {
  // stress(); return 0;
  
  for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
    int N;
    scanf("%d", &N);
    vector<Int> A(N);
    for (int i = 0; i < N; ++i) {
      scanf("%lld", &A[i]);
    }
    sort(A.begin(), A.end());
    
    const auto ans = solve(A);
    if (!ans.empty()) {
      for (const auto &op : ans) {
        printf("%lld %lld\n", op.first, op.second);
      }
    } else {
      puts("-1");
    }
  }
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

详细

Subtask #1:

score: 9
Accepted

Test #1:

score: 9
Accepted
time: 1ms
memory: 3800kb

input:

99
4
739880851158065302 19206582949872932 883064254701115295 222072661880779376
7
148399819461615003 209088712310207988 53191076581680214 445068618251612752 230505279594622109 115754892157516718 804173775829453588
2
77979357045500669 41693388829622019
3
341612949433488278 609808714829036935 19994167...

output:

19206582949872932 739880851158065302
379543717053969117 883064254701115295
222072661880779376 631303985877542206
148399819461615003 230505279594622109
53191076581680214 115754892157516718
804173775829453588 209088712310207988
189452549528118556 445068618251612752
84472984369598466 317260583889865654...

result:

ok correct (99 test cases)

Test #2:

score: 0
Accepted
time: 1ms
memory: 4060kb

input:

94
4
522567009208273608 11643656493074325 186427311250002481 123849906165842189
5
106161059262489233 415343718607892434 327977047389442178 962072443749424073 442437950417792236
2
183203550209212188 845051373320458660
4
438596026703410712 750951289026921248 112070483603621346 883810241305765624
4
145...

output:

11643656493074325 186427311250002481
99035483871538403 123849906165842189
111442695018690296 522567009208273608
106161059262489233 962072443749424073
327977047389442178 415343718607892434
371660382998667306 442437950417792236
407049166708229771 534116751505956653
183203550209212188 84505137332045866...

result:

ok correct (94 test cases)

Test #3:

score: 0
Accepted
time: 1ms
memory: 4060kb

input:

100
6
992926089095812859 592566222682195905 851047547791588090 117812034990980493 287668656568989067 500497313856354147
5
422579495815431679 738445394838743009 952584027249447301 804094328392164866 131591678779711861
6
671044256239146581 730689616081395646 623998023808544596 817401707748253055 55805...

output:

117812034990980493 592566222682195905
355189128836588199 287668656568989067
500497313856354147 992926089095812859
321428892702788633 746711701476083503
534070297089436068 851047547791588090
131591678779711861 738445394838743009
435018536809227435 952584027249447301
693801282029337368 804094328392164...

result:

ok correct (100 test cases)

Test #4:

score: 0
Accepted
time: 1ms
memory: 4048kb

input:

100
3
3 3 2
3
4 1 1
4
1 3 4 4
6
4 4 2 3 1 2
4
0 2 1 4
3
0 2 0
7
3 3 1 1 3 4 0
2
0 4
4
1 4 2 3
7
4 0 0 3 2 3 4
4
4 2 0 3
7
0 2 2 1 4 2 4
7
3 0 3 1 2 0 3
4
4 3 1 4
6
2 3 0 1 3 4
5
1 4 0 3 4
5
4 2 0 4 2
3
0 1 2
6
4 1 4 2 0 4
7
4 2 4 3 1 3 1
4
1 4 4 0
2
1 1
6
0 3 3 0 0 4
7
4 3 0 3 3 3 4
4
4 1 1 3
6
2 0 ...

output:

-1
-1
4 4
1 3
2 4
1 3
2 2
2 2
4 4
2 4
2 4
1 3
0 2
0 0
0 2
0 4
1 1
3 3
3 3
1 3
2 2
0 4
1 3
2 2
2 4
3 3
0 0
0 4
2 2
2 4
3 3
0 2
1 3
2 4
0 4
2 2
2 2
2 2
2 4
1 3
3 3
3 3
1 3
0 0
2 2
0 2
4 4
1 3
2 4
3 3
1 3
0 2
2 4
1 3
1 3
0 4
2 2
2 4
4 4
2 2
0 4
2 2
0 2
1 1
0 4
2 2
2 4
1 3
2 4
3 3
1 1
1 3
2 2
4 4
2 4
0 ...

result:

ok correct (100 test cases)

Test #5:

score: 0
Accepted
time: 1ms
memory: 3788kb

input:

94
6
4 4 4 4 3 1
7
1 2 2 0 3 1 4
5
4 2 1 1 2
4
4 1 2 2
2
1 0
6
4 4 0 3 2 4
5
1 2 4 3 4
7
1 4 2 1 2 4 1
4
0 2 2 3
6
3 4 2 1 4 3
2
0 2
7
2 1 1 0 2 0 2
4
3 4 1 3
5
2 4 2 1 3
2
3 2
7
1 2 1 1 4 2 0
5
2 2 1 1 3
6
3 1 2 2 4 4
3
2 3 0
5
1 1 1 0 3
4
3 4 2 3
3
4 0 2
3
1 1 1
2
3 0
4
3 3 3 4
4
1 3 3 3
4
2 3 3 1...

output:

4 4
4 4
4 4
1 3
2 4
1 1
1 3
2 2
0 2
2 4
1 3
1 1
2 2
2 4
1 3
2 2
2 4
1 3
-1
0 4
2 2
4 4
2 4
3 3
1 3
2 2
4 4
2 4
1 1
1 1
2 2
2 4
1 3
2 4
0 2
1 3
2 2
3 3
1 3
2 2
4 4
2 4
0 2
1 1
0 0
2 2
2 2
0 2
1 1
1 3
2 4
3 3
1 3
2 2
2 2
2 4
-1
1 1
1 1
2 2
2 4
1 3
0 2
2 2
1 1
1 3
2 2
1 3
2 2
2 2
4 4
2 4
0 2
1 3
1 1
1 ...

result:

ok correct (94 test cases)

Test #6:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

100
2
0 4
6
0 3 2 2 3 2
6
0 3 2 3 2 4
5
3 2 2 3 2
4
2 1 1 4
5
0 2 0 0 4
4
1 2 4 0
5
3 0 4 4 1
6
3 4 4 4 3 0
6
2 2 3 4 3 2
5
3 1 4 0 4
3
2 1 1
5
3 2 1 1 1
5
1 1 4 2 2
3
2 2 4
5
2 3 1 0 3
3
1 1 3
5
3 1 1 1 2
2
1 2
4
2 2 4 2
5
2 2 0 0 3
5
3 0 4 0 2
5
2 2 1 1 4
6
1 1 3 2 2 0
4
4 3 4 4
3
0 0 4
2
2 3
7
0 ...

output:

0 4
3 3
2 2
0 2
1 3
2 2
3 3
2 2
0 2
1 3
2 4
-1
1 1
2 4
1 3
0 4
2 2
0 0
0 2
2 4
1 3
0 2
1 3
0 4
2 2
2 4
3 3
0 4
4 4
2 4
3 3
3 3
2 2
2 2
2 4
3 3
1 3
0 4
2 2
2 4
-1
1 1
1 1
1 3
2 2
1 1
2 2
2 4
1 3
2 2
2 4
3 3
1 3
2 2
0 2
1 1
1 3
1 1
1 1
1 3
2 2
-1
2 2
2 2
2 4
0 0
0 2
1 3
2 2
0 0
0 2
1 3
2 4
1 1
2 2
2 4...

result:

ok correct (100 test cases)

Test #7:

score: 0
Accepted
time: 1ms
memory: 3788kb

input:

99
7
5 8 3 10 4 3 7
7
3 7 2 9 0 1 8
7
10 6 10 7 8 2 9
7
5 7 1 2 3 5 4
7
1 8 6 10 7 5 9
7
8 2 3 8 7 7 2
7
6 5 9 1 5 0 7
7
10 2 3 4 4 9 2
7
2 8 9 2 4 2 9
7
5 5 4 7 8 4 3
7
6 2 5 5 7 3 2
7
6 3 3 7 8 1 3
7
4 5 4 4 1 4 9
7
0 7 2 6 10 9 9
7
10 9 9 3 2 4 1
7
5 8 5 5 3 3 6
7
0 7 7 0 10 5 8
7
8 3 1 2 2 7 10
...

output:

3 7
5 5
3 5
4 4
4 8
6 10
3 7
5 9
1 7
0 4
2 2
2 8
7 9
2 6
4 8
6 10
8 8
8 10
5 5
3 7
5 5
1 5
2 4
3 3
5 9
7 7
1 7
4 6
8 10
5 9
7 7
3 7
2 2
8 8
2 8
5 5
5 9
7 7
1 5
3 7
0 6
3 5
3 9
2 2
2 10
4 4
6 6
4 6
9 9
2 2
2 2
2 4
3 9
6 8
5 5
3 7
5 5
4 8
4 6
5 5
5 5
3 7
5 5
2 6
2 4
3 5
3 7
3 3
1 5
3 3
6 8
3 7
4 4
4 4...

result:

ok correct (99 test cases)

Test #8:

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

input:

93
7
5 1 7 4 6 2 9
7
0 6 4 2 2 7 9
7
7 0 1 7 4 10 5
7
9 5 3 6 1 7 10
7
6 6 2 4 4 0 8
7
4 5 1 7 6 8 6
7
3 10 8 2 2 10 4
7
10 1 4 0 3 2 9
7
3 2 9 8 1 3 4
7
9 2 10 10 2 2 4
7
7 8 8 4 10 6 7
7
10 10 5 1 2 8 3
7
10 6 10 3 1 3 0
7
5 10 2 8 9 6 0
7
2 5 6 8 6 4 1
7
10 5 4 6 6 10 6
7
9 0 2 6 10 0 10
7
4 1 2 ...

output:

5 9
7 7
1 7
2 4
4 6
3 5
7 9
0 4
2 2
2 2
2 6
4 8
7 7
1 5
3 7
4 10
5 7
0 6
6 10
1 5
3 3
3 9
6 8
7 7
6 6
4 8
6 6
2 6
4 4
0 4
1 5
3 7
6 6
6 8
5 7
4 6
2 2
2 10
6 10
4 8
6 8
3 7
1 9
5 3
2 10
0 4
2 6
4 4
3 3
1 9
5 3
4 4
4 8
2 6
2 2
2 10
6 10
2 4
3 9
6 8
7 7
4 8
6 6
8 10
7 9
6 8
1 5
3 3
2 10
8 10
3 9
6 6
3 ...

result:

ok correct (93 test cases)

Test #9:

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

input:

100
7
5 2 6 0 4 1 0
7
2 2 6 7 0 0 4
7
9 5 9 6 9 1 10
7
1 10 3 3 3 0 1
7
5 2 9 1 5 1 6
7
3 5 1 2 1 4 3
7
4 5 10 7 8 0 5
7
2 4 10 0 0 1 10
7
9 1 9 3 4 0 9
7
2 9 5 6 3 2 6
7
5 10 5 10 9 10 3
7
2 8 2 9 8 7 9
7
7 0 8 7 0 2 10
7
5 2 1 3 9 5 4
7
0 0 8 6 9 3 2
7
2 1 4 7 1 6 5
7
3 1 1 6 4 7 2
7
1 4 1 3 10 6 ...

output:

1 5
0 0
0 4
2 6
2 4
3 3
0 0
0 4
2 6
2 2
2 4
3 7
6 10
1 5
9 9
3 9
6 8
7 9
3 3
3 3
1 1
1 3
2 10
0 6
2 6
1 1
1 5
3 9
4 6
5 5
3 3
1 5
3 3
1 3
2 2
2 4
5 5
5 7
0 4
2 6
4 8
6 10
0 0
0 4
2 10
2 6
4 10
1 7
0 4
1 9
5 9
7 9
2 8
3 5
5 9
3 7
2 2
2 6
4 6
5 5
10 10
10 10
5 5
3 5
4 10
7 9
9 9
7 9
2 2
8 8
8 8
2 8
7 ...

result:

ok correct (100 test cases)

Test #10:

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

input:

100
7
194031217145504953 92344336866099257 940210838006020793 707981138553400851 396343433783471865 833335571389105081 123990781067666617
7
448521163401367476 574701567883492980 980642203300204980 512336398436587572 13585306943463220 382572649843185460 215660281846045559
7
98808889424018047 80126151...

output:

833335571389105081 940210838006020793
396343433783471865 886773204697562937
194031217145504953 641558319240517401
123990781067666617 417794768193011177
92344336866099257 270892774630338897
181618555748219077 707981138553400851
-1
801261513359172095 921145552784143923
452350722684633727 5195194975056...

result:

ok correct (100 test cases)

Test #11:

score: 0
Accepted
time: 1ms
memory: 4032kb

input:

100
7
174403410311304113 248556925798696753 53568639341601777 147219929176342449 988689409852706865 422750449048724017 809081055195056666
7
654555421813714610 65548712288124338 113074781548118002 689925989131091973 435452328954515762 402611253666470322 699499906293235634
7
892198071242569306 3804178...

output:

-1
-1
500650288627091930 892198071242569306
380417803615373274 696424179934830618
165424412191963414 538420991775101946
129519442362898650 148030432254685338
18008349711398490 138774937308791994
78391643510095242 351922701983532680
815403986963541461 841308117597371541
810097671463688917 82835605228...

result:

ok correct (100 test cases)

Test #12:

score: 0
Accepted
time: 1ms
memory: 4088kb

input:

100
7
735384431780948558 899256715441852725 178731131822407886 890919396545837966 72324744142816334 558054530285134638 954139817168296398
7
45395071650811539 253273768642657171 953414663451276723 220385987543178067 173909572893934035 485148879400085538 83918898436924307
7
109145165951288796 37935377...

output:

72324744142816334 558054530285134638
315189637213975486 178731131822407886
246960384518191686 890919396545837966
568939890532014826 735384431780948558
652162161156481692 954139817168296398
803150989162389045 899256715441852725
45395071650811539 953414663451276723
499404867551044131 83918898436924307...

result:

ok correct (100 test cases)

Test #13:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

100
7
342815440894770237 577260666108880189 963303186935010749 643035993160981245 559737192409772678 500327699207606141 589782199529447645
7
893322664971323518 398511528472082622 489134244464820638 887066650526334270 435922568352264510 648203813296851902 217099014542362271
7
383086708597299653 29135...

output:

342815440894770237 589782199529447645
466298820212108941 500327699207606141
483313259709857541 643035993160981245
563174626435419393 577260666108880189
570217646272149791 963303186935010749
559737192409772678 766760416603580270
398511528472082622 489134244464820638
443822886468451630 435922568352264...

result:

ok correct (100 test cases)

Test #14:

score: 0
Accepted
time: 1ms
memory: 4084kb

input:

100
7
88863843597158046 950122471548607422 265724776830453214 192629087498442078 520578369613131745 714426339203311198 948564805318863646
7
205975292586876774 145671480839848358 259140903385588902 4849406731994534 141512727977970089 858343655268985638 202419714899120006
7
61433277510053499 235584360...

output:

88863843597158046 950122471548607422
519493157572882734 192629087498442078
356061122535662406 948564805318863646
265724776830453214 652312963927263026
459018870378858120 714426339203311198
520578369613131745 586722604791084659
4849406731994534 202419714899120006
103634560815557270 145671480839848358...

result:

ok correct (100 test cases)

Test #15:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

100
7
554325256470531726 456873078421784369 918394802304294481 630970289930190705 907221660666961905 444595055227052593 562141050125551985
7
666700133887673307 676437315778672187 103719581474450220 750499716656298171 958176162217016955 831078782085213243 412967682206399611
7
575687600279994039 45869...

output:

444595055227052593 918394802304294481
681494928765673537 456873078421784369
569184003593728953 907221660666961905
562141050125551985 738202832130345429
630970289930190705 650171941127948707
554325256470531726 640571115529069706
412967682206399611 666700133887673307
539833908047036459 958176162217016...

result:

ok correct (100 test cases)

Subtask #2:

score: 23
Accepted

Test #16:

score: 23
Accepted
time: 1ms
memory: 3720kb

input:

100
3
3 3 2
3
4 1 1
4
1 3 4 4
6
4 4 2 3 1 2
4
0 2 1 4
3
0 2 0
7
3 3 1 1 3 4 0
2
0 4
4
1 4 2 3
7
4 0 0 3 2 3 4
4
4 2 0 3
7
0 2 2 1 4 2 4
7
3 0 3 1 2 0 3
4
4 3 1 4
6
2 3 0 1 3 4
5
1 4 0 3 4
5
4 2 0 4 2
3
0 1 2
6
4 1 4 2 0 4
7
4 2 4 3 1 3 1
4
1 4 4 0
2
1 1
6
0 3 3 0 0 4
7
4 3 0 3 3 3 4
4
4 1 1 3
6
2 0 ...

output:

-1
-1
4 4
1 3
2 4
1 3
2 2
2 2
4 4
2 4
2 4
1 3
0 2
0 0
0 2
0 4
1 1
3 3
3 3
1 3
2 2
0 4
1 3
2 2
2 4
3 3
0 0
0 4
2 2
2 4
3 3
0 2
1 3
2 4
0 4
2 2
2 2
2 2
2 4
1 3
3 3
3 3
1 3
0 0
2 2
0 2
4 4
1 3
2 4
3 3
1 3
0 2
2 4
1 3
1 3
0 4
2 2
2 4
4 4
2 2
0 4
2 2
0 2
1 1
0 4
2 2
2 4
1 3
2 4
3 3
1 1
1 3
2 2
4 4
2 4
0 ...

result:

ok correct (100 test cases)

Test #17:

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

input:

94
6
4 4 4 4 3 1
7
1 2 2 0 3 1 4
5
4 2 1 1 2
4
4 1 2 2
2
1 0
6
4 4 0 3 2 4
5
1 2 4 3 4
7
1 4 2 1 2 4 1
4
0 2 2 3
6
3 4 2 1 4 3
2
0 2
7
2 1 1 0 2 0 2
4
3 4 1 3
5
2 4 2 1 3
2
3 2
7
1 2 1 1 4 2 0
5
2 2 1 1 3
6
3 1 2 2 4 4
3
2 3 0
5
1 1 1 0 3
4
3 4 2 3
3
4 0 2
3
1 1 1
2
3 0
4
3 3 3 4
4
1 3 3 3
4
2 3 3 1...

output:

4 4
4 4
4 4
1 3
2 4
1 1
1 3
2 2
0 2
2 4
1 3
1 1
2 2
2 4
1 3
2 2
2 4
1 3
-1
0 4
2 2
4 4
2 4
3 3
1 3
2 2
4 4
2 4
1 1
1 1
2 2
2 4
1 3
2 4
0 2
1 3
2 2
3 3
1 3
2 2
4 4
2 4
0 2
1 1
0 0
2 2
2 2
0 2
1 1
1 3
2 4
3 3
1 3
2 2
2 2
2 4
-1
1 1
1 1
2 2
2 4
1 3
0 2
2 2
1 1
1 3
2 2
1 3
2 2
2 2
4 4
2 4
0 2
1 3
1 1
1 ...

result:

ok correct (94 test cases)

Test #18:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

100
2
0 4
6
0 3 2 2 3 2
6
0 3 2 3 2 4
5
3 2 2 3 2
4
2 1 1 4
5
0 2 0 0 4
4
1 2 4 0
5
3 0 4 4 1
6
3 4 4 4 3 0
6
2 2 3 4 3 2
5
3 1 4 0 4
3
2 1 1
5
3 2 1 1 1
5
1 1 4 2 2
3
2 2 4
5
2 3 1 0 3
3
1 1 3
5
3 1 1 1 2
2
1 2
4
2 2 4 2
5
2 2 0 0 3
5
3 0 4 0 2
5
2 2 1 1 4
6
1 1 3 2 2 0
4
4 3 4 4
3
0 0 4
2
2 3
7
0 ...

output:

0 4
3 3
2 2
0 2
1 3
2 2
3 3
2 2
0 2
1 3
2 4
-1
1 1
2 4
1 3
0 4
2 2
0 0
0 2
2 4
1 3
0 2
1 3
0 4
2 2
2 4
3 3
0 4
4 4
2 4
3 3
3 3
2 2
2 2
2 4
3 3
1 3
0 4
2 2
2 4
-1
1 1
1 1
1 3
2 2
1 1
2 2
2 4
1 3
2 2
2 4
3 3
1 3
2 2
0 2
1 1
1 3
1 1
1 1
1 3
2 2
-1
2 2
2 2
2 4
0 0
0 2
1 3
2 2
0 0
0 2
1 3
2 4
1 1
2 2
2 4...

result:

ok correct (100 test cases)

Test #19:

score: 0
Accepted
time: 1ms
memory: 4048kb

input:

99
7
5 8 3 10 4 3 7
7
3 7 2 9 0 1 8
7
10 6 10 7 8 2 9
7
5 7 1 2 3 5 4
7
1 8 6 10 7 5 9
7
8 2 3 8 7 7 2
7
6 5 9 1 5 0 7
7
10 2 3 4 4 9 2
7
2 8 9 2 4 2 9
7
5 5 4 7 8 4 3
7
6 2 5 5 7 3 2
7
6 3 3 7 8 1 3
7
4 5 4 4 1 4 9
7
0 7 2 6 10 9 9
7
10 9 9 3 2 4 1
7
5 8 5 5 3 3 6
7
0 7 7 0 10 5 8
7
8 3 1 2 2 7 10
...

output:

3 7
5 5
3 5
4 4
4 8
6 10
3 7
5 9
1 7
0 4
2 2
2 8
7 9
2 6
4 8
6 10
8 8
8 10
5 5
3 7
5 5
1 5
2 4
3 3
5 9
7 7
1 7
4 6
8 10
5 9
7 7
3 7
2 2
8 8
2 8
5 5
5 9
7 7
1 5
3 7
0 6
3 5
3 9
2 2
2 10
4 4
6 6
4 6
9 9
2 2
2 2
2 4
3 9
6 8
5 5
3 7
5 5
4 8
4 6
5 5
5 5
3 7
5 5
2 6
2 4
3 5
3 7
3 3
1 5
3 3
6 8
3 7
4 4
4 4...

result:

ok correct (99 test cases)

Test #20:

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

input:

93
7
5 1 7 4 6 2 9
7
0 6 4 2 2 7 9
7
7 0 1 7 4 10 5
7
9 5 3 6 1 7 10
7
6 6 2 4 4 0 8
7
4 5 1 7 6 8 6
7
3 10 8 2 2 10 4
7
10 1 4 0 3 2 9
7
3 2 9 8 1 3 4
7
9 2 10 10 2 2 4
7
7 8 8 4 10 6 7
7
10 10 5 1 2 8 3
7
10 6 10 3 1 3 0
7
5 10 2 8 9 6 0
7
2 5 6 8 6 4 1
7
10 5 4 6 6 10 6
7
9 0 2 6 10 0 10
7
4 1 2 ...

output:

5 9
7 7
1 7
2 4
4 6
3 5
7 9
0 4
2 2
2 2
2 6
4 8
7 7
1 5
3 7
4 10
5 7
0 6
6 10
1 5
3 3
3 9
6 8
7 7
6 6
4 8
6 6
2 6
4 4
0 4
1 5
3 7
6 6
6 8
5 7
4 6
2 2
2 10
6 10
4 8
6 8
3 7
1 9
5 3
2 10
0 4
2 6
4 4
3 3
1 9
5 3
4 4
4 8
2 6
2 2
2 10
6 10
2 4
3 9
6 8
7 7
4 8
6 6
8 10
7 9
6 8
1 5
3 3
2 10
8 10
3 9
6 6
3 ...

result:

ok correct (93 test cases)

Test #21:

score: 0
Accepted
time: 1ms
memory: 3784kb

input:

100
7
5 2 6 0 4 1 0
7
2 2 6 7 0 0 4
7
9 5 9 6 9 1 10
7
1 10 3 3 3 0 1
7
5 2 9 1 5 1 6
7
3 5 1 2 1 4 3
7
4 5 10 7 8 0 5
7
2 4 10 0 0 1 10
7
9 1 9 3 4 0 9
7
2 9 5 6 3 2 6
7
5 10 5 10 9 10 3
7
2 8 2 9 8 7 9
7
7 0 8 7 0 2 10
7
5 2 1 3 9 5 4
7
0 0 8 6 9 3 2
7
2 1 4 7 1 6 5
7
3 1 1 6 4 7 2
7
1 4 1 3 10 6 ...

output:

1 5
0 0
0 4
2 6
2 4
3 3
0 0
0 4
2 6
2 2
2 4
3 7
6 10
1 5
9 9
3 9
6 8
7 9
3 3
3 3
1 1
1 3
2 10
0 6
2 6
1 1
1 5
3 9
4 6
5 5
3 3
1 5
3 3
1 3
2 2
2 4
5 5
5 7
0 4
2 6
4 8
6 10
0 0
0 4
2 10
2 6
4 10
1 7
0 4
1 9
5 9
7 9
2 8
3 5
5 9
3 7
2 2
2 6
4 6
5 5
10 10
10 10
5 5
3 5
4 10
7 9
9 9
7 9
2 2
8 8
8 8
2 8
7 ...

result:

ok correct (100 test cases)

Test #22:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

94
16
8 8 7 5 4 8 7 4 8 9 0 5 1 8 4 0
18
6 4 10 0 1 9 4 8 1 4 7 3 6 6 5 1 2 10
17
8 10 3 2 0 6 6 5 4 5 8 8 0 7 0 10 10
16
6 8 2 4 0 10 7 2 4 3 4 2 9 0 3 1
16
4 1 4 8 4 10 6 3 3 3 1 2 9 2 10 9
20
10 7 10 6 8 9 8 5 3 9 1 8 8 10 2 7 9 7 8 0
17
4 0 3 5 0 8 0 10 4 10 9 9 7 7 0 9 7
17
3 2 9 8 2 3 6 7 6 4 ...

output:

7 7
5 9
7 7
1 5
3 7
0 0
0 8
4 8
8 4
6 6
8 8
8 4
6 6
4 6
5 5
5 9
7 7
3 7
1 5
1 1
1 3
0 4
2 2
2 10
6 10
8 8
8 4
6 6
6 6
2 6
4 4
4 6
5 5
3 7
5 5
0 0
0 0
0 4
2 10
6 10
8 8
8 8
8 8
6 6
6 10
8 8
2 8
5 5
3 7
5 9
3 7
1 5
0 0
0 4
2 10
6 6
6 2
4 4
4 8
6 2
4 4
2 4
3 3
9 9
3 3
3 3
1 9
1 5
3 3
2 2
2 10
6 10
8 8
...

result:

ok correct (94 test cases)

Test #23:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

100
17
3 7 5 5 5 6 4 2 8 4 10 6 1 7 5 2 4
16
10 9 4 2 8 8 1 0 1 10 7 1 1 5 0 7
16
7 10 8 7 8 8 3 4 0 2 6 6 1 5 4 2
18
4 1 1 7 10 9 6 1 8 3 9 1 7 10 5 7 5 9
16
8 2 4 3 10 9 7 0 5 8 2 4 1 5 7 5
20
4 0 1 8 0 9 1 10 10 10 3 3 7 0 0 9 0 8 8 6
17
2 0 8 0 9 9 1 6 3 3 6 8 1 10 10 8 1
17
10 10 6 0 10 1 4 9 5...

output:

7 7
5 5
5 5
5 5
3 7
5 5
1 5
2 2
2 10
6 6
6 6
8 4
6 6
4 4
4 6
3 5
7 7
5 9
7 7
1 1
1 1
1 1
1 7
0 0
0 4
2 10
6 2
4 8
4 6
8 10
5 9
7 7
3 7
5 5
1 5
0 4
2 2
2 2
2 10
6 6
6 6
8 8
8 4
6 6
6 8
3 7
9 9
9 9
7 7
7 7
5 9
7 7
3 7
5 5
1 5
1 1
1 1
1 3
4 8
6 6
2 6
10 10
4 10
7 7
5 9
7 7
5 5
3 7
5 5
1 5
0 4
2 2
2 2
2...

result:

ok correct (100 test cases)

Test #24:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

100
17
3 0 6 0 3 4 10 7 5 9 9 7 5 0 1 3 1
19
1 0 10 8 6 0 8 9 6 3 3 8 6 10 7 2 0 5 9
16
10 4 4 5 4 1 10 9 0 4 6 2 10 4 2 8
19
6 10 9 3 10 8 9 4 6 9 2 0 10 5 0 6 10 3 8
19
5 1 0 4 8 7 3 8 10 5 0 6 9 7 5 7 5 10 0
18
10 8 6 9 2 10 9 0 10 8 5 6 10 6 9 10 1 1
17
5 5 0 5 4 6 7 3 0 4 10 2 2 1 2 3 3
17
9 3 ...

output:

9 9
7 7
5 9
7 7
3 7
5 5
3 3
1 5
3 3
1 3
0 0
0 0
0 4
2 2
2 6
4 10
9 9
5 9
7 7
3 7
1 5
3 3
0 0
0 0
0 8
4 8
6 10
8 8
6 10
8 8
6 6
2 8
3 5
4 6
5 9
1 7
0 4
2 2
2 10
6 10
8 8
8 4
6 6
6 2
4 4
4 4
4 4
4 4
4 10
9 9
9 9
5 9
3 7
3 5
0 0
0 4
2 10
6 10
8 8
8 8
10 2
6 6
6 6
6 6
4 6
8 10
5 9
7 7
7 7
5 9
7 7
5 5
5 ...

result:

ok correct (100 test cases)

Test #25:

score: 0
Accepted
time: 2ms
memory: 4060kb

input:

100
46
6 6 0 8 7 7 3 5 0 1 6 10 6 6 2 8 1 10 9 3 6 5 9 2 3 9 10 7 9 0 1 6 6 5 9 6 0 8 1 1 5 8 7 4 9 1
64
0 3 10 5 9 9 5 2 4 10 3 5 0 3 5 1 3 0 9 9 7 8 2 9 0 5 1 9 5 5 7 2 10 7 2 6 8 2 1 2 0 4 8 9 0 5 4 8 2 2 2 8 0 8 6 3 4 1 3 6 10 9 10 0
94
10 10 0 6 0 10 4 3 3 0 3 1 4 10 2 8 7 10 7 5 1 10 3 2 6 2 5...

output:

9 9
9 9
9 9
9 9
9 9
7 7
7 7
7 7
5 9
7 7
5 5
5 5
3 7
5 5
3 3
1 5
3 3
1 1
1 1
1 1
1 1
1 3
0 0
0 0
0 0
0 4
2 10
6 10
8 8
8 8
8 8
8 8
6 6
6 6
6 6
6 6
6 6
6 6
6 6
6 6
6 2
8 4
2 2
2 6
4 10
9 9
9 9
9 9
9 9
9 9
9 9
9 9
7 7
7 7
5 9
7 7
5 5
5 5
5 5
5 5
5 5
5 5
3 7
5 5
3 3
3 3
3 3
3 3
1 5
3 3
1 1
1 1
1 3
0 0
0...

result:

ok correct (100 test cases)

Test #26:

score: 0
Accepted
time: 2ms
memory: 3820kb

input:

100
78
3 4 9 3 8 7 2 5 2 4 2 2 3 9 3 2 4 10 2 3 0 9 4 6 2 0 10 2 4 8 9 2 7 9 9 1 4 8 2 1 5 10 5 2 7 3 5 0 0 6 4 8 3 7 8 4 6 9 5 1 5 6 10 3 4 4 2 1 4 10 9 2 7 1 3 1 4 6
95
4 7 6 2 3 7 10 1 7 7 5 6 8 1 6 6 6 10 3 2 2 9 3 2 4 7 3 3 9 2 2 7 2 9 3 4 0 3 5 5 6 5 9 4 2 9 5 7 9 5 1 1 8 2 6 6 0 9 5 8 6 8 8 4...

output:

9 9
9 9
9 9
9 9
9 9
9 9
9 9
7 7
7 7
7 7
7 7
5 9
7 7
5 5
5 5
5 5
5 5
3 7
5 5
3 3
3 3
3 3
3 3
3 3
3 3
3 3
1 5
3 3
1 1
1 1
1 1
1 1
1 3
0 0
0 0
0 0
0 4
2 10
6 10
8 8
8 8
8 8
8 8
8 8
8 4
6 6
6 6
6 6
6 6
6 10
8 4
6 10
8 4
6 2
4 4
4 4
4 4
4 4
4 4
4 4
4 4
4 4
6 10
4 8
6 2
2 2
2 2
2 2
2 2
2 2
2 2
2 2
2 2
2 2...

result:

ok correct (100 test cases)

Test #27:

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

input:

100
64
7 8 5 10 5 10 7 9 9 6 1 4 1 4 4 10 10 9 9 4 1 6 10 0 7 9 3 5 0 0 4 0 0 2 10 1 10 9 7 3 2 3 1 4 6 4 6 8 5 4 2 10 5 10 1 7 10 6 2 4 0 0 8 7
90
2 6 0 1 0 4 6 7 9 0 8 5 6 6 9 7 3 7 8 0 7 8 1 3 2 8 6 6 10 1 1 5 8 6 10 5 3 4 9 8 10 3 3 5 0 2 5 6 7 2 9 1 10 2 7 0 9 9 10 6 3 2 10 1 6 9 6 1 3 10 4 0 2...

output:

9 9
9 9
9 9
9 9
9 9
7 7
7 7
7 7
7 7
7 7
5 9
7 7
5 5
5 5
5 5
3 7
5 5
3 3
1 5
3 3
1 1
1 1
1 1
1 1
1 3
0 0
0 0
0 0
0 0
0 0
0 0
0 4
2 10
6 10
8 4
6 10
8 8
8 8
8 8
8 4
6 6
6 6
6 6
6 6
6 10
8 4
6 10
8 4
6 10
8 4
6 6
6 10
8 4
6 10
8 4
6 2
4 4
2 2
2 10
6 10
2 2
4 8
2 6
9 9
9 9
9 9
9 9
9 9
9 9
7 7
7 7
7 7
7 ...

result:

ok correct (100 test cases)

Test #28:

score: 0
Accepted
time: 141ms
memory: 22268kb

input:

100
41905
7 0 1 6 7 6 10 4 9 10 10 8 4 9 6 7 0 5 7 9 10 7 0 7 7 2 10 5 0 4 0 0 1 5 10 6 10 5 9 6 4 10 10 8 5 4 3 7 7 6 0 9 0 4 10 6 5 4 6 6 4 3 2 8 9 3 0 0 1 5 6 10 8 2 2 9 5 8 4 4 9 10 3 1 0 5 6 3 0 4 0 7 2 7 9 0 5 1 9 1 4 6 0 0 7 3 2 2 9 8 5 0 5 0 6 7 10 1 0 2 1 10 3 2 1 0 5 6 10 6 6 0 10 6 1 4 9 ...

output:

9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
...

result:

ok correct (100 test cases)

Test #29:

score: 0
Accepted
time: 145ms
memory: 16732kb

input:

100
112302
1 0 4 4 3 5 5 3 0 10 7 7 3 0 1 7 0 4 5 3 2 1 10 2 4 3 1 1 1 5 0 3 1 6 6 0 7 3 3 7 5 1 7 4 3 4 8 4 10 4 2 2 10 0 4 3 1 8 2 10 4 7 1 1 2 0 4 10 10 8 2 6 3 3 4 1 2 8 3 3 10 8 2 8 8 9 3 1 3 1 3 7 7 10 0 9 8 1 0 1 3 0 3 1 10 4 5 10 5 0 10 8 5 5 5 7 6 10 8 8 2 6 9 4 7 4 9 4 1 1 8 6 5 6 8 0 0 9 ...

output:

9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
...

result:

ok correct (100 test cases)

Test #30:

score: 0
Accepted
time: 141ms
memory: 21424kb

input:

100
471176
2 5 6 6 2 3 7 4 7 1 2 0 1 7 2 4 10 2 4 9 0 4 0 10 1 1 2 5 7 3 4 10 5 0 10 0 6 7 3 8 7 5 10 10 1 6 10 6 2 2 5 5 8 2 4 6 5 8 0 2 0 3 10 6 0 8 10 8 5 5 0 10 2 1 1 1 6 10 9 1 10 3 10 0 7 1 8 8 5 4 9 4 0 2 5 6 5 5 2 3 3 1 5 5 4 6 5 5 8 10 1 8 8 10 1 4 9 3 4 10 4 7 7 9 3 2 8 10 2 3 9 3 5 3 8 6 ...

output:

9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
...

result:

ok correct (100 test cases)

Test #31:

score: 0
Accepted
time: 113ms
memory: 5008kb

input:

100
19254
4 0 1 5 2 0 8 3 6 4 5 10 7 0 5 5 9 7 4 6 1 0 2 0 3 8 6 5 8 0 1 0 2 1 9 2 5 8 7 8 5 3 4 3 7 4 6 10 5 0 5 6 4 6 8 4 6 0 4 2 0 4 6 9 9 6 5 9 4 8 6 2 9 7 1 8 1 6 1 6 1 6 2 2 7 2 3 3 5 8 5 9 4 6 6 6 8 10 6 3 6 1 2 4 2 10 1 9 8 9 8 8 9 8 1 6 4 8 5 8 4 2 8 9 10 5 7 2 6 4 5 2 4 7 9 5 1 0 8 1 1 4 1...

output:

9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
...

result:

ok correct (100 test cases)

Test #32:

score: 0
Accepted
time: 112ms
memory: 4960kb

input:

100
10002
3 9 6 8 1 9 5 10 5 10 1 5 9 9 7 1 4 7 10 5 6 7 4 2 2 9 0 6 10 9 0 10 1 9 2 7 4 9 3 10 9 10 10 6 6 5 9 6 8 6 2 7 1 1 1 1 7 2 3 6 2 4 2 4 10 7 0 4 9 6 2 9 1 10 5 8 2 6 4 5 5 2 7 3 0 8 10 5 1 2 3 2 10 4 10 0 1 8 9 1 4 0 3 2 0 8 10 2 7 10 0 4 3 3 6 3 5 10 0 5 0 0 2 2 10 10 7 8 10 9 2 10 0 4 5 ...

output:

9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
...

result:

ok correct (100 test cases)

Test #33:

score: 0
Accepted
time: 105ms
memory: 4856kb

input:

100
8848
9 0 3 7 6 4 9 5 4 5 8 1 10 8 10 10 1 5 4 5 1 10 1 1 2 5 0 6 4 10 3 2 8 7 4 6 10 10 4 1 6 0 5 3 3 6 1 9 0 6 2 1 2 8 2 3 8 2 0 10 9 9 8 8 6 5 7 10 7 10 9 4 1 6 2 0 3 4 1 6 3 1 8 4 8 3 6 7 4 7 8 4 6 9 3 1 7 4 9 9 1 10 1 1 2 4 0 8 4 10 5 6 1 7 9 5 2 10 10 4 8 9 7 8 0 8 4 1 10 3 8 4 7 7 0 3 4 5 ...

output:

9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
9 9
...

result:

ok correct (100 test cases)

Subtask #3:

score: 16
Accepted

Test #34:

score: 16
Accepted
time: 146ms
memory: 4008kb

input:

100000
5
846784256447769304 457696478728961702 128469521648960690 597630796847754190 104256763714529164
5
658897822238868978 472135077337628566 399538027669313322 622703684108675696 425723088635325654
5
917704960887390986 140817562615382054 877934664521057998 782212806618666818 616380973421914538
8
...

output:

457696478728961702 597630796847754190
128469521648960690 527663637788357946
104256763714529164 846784256447769304
475520510081149234 328066579718659318
472135077337628566 658897822238868978
565516449788248772 622703684108675696
425723088635325654 594110066948462234
399538027669313322 509916577791893...

result:

ok correct (100000 test cases)

Test #35:

score: 0
Accepted
time: 156ms
memory: 4032kb

input:

100000
4
132941437397264810 143141501854884272 958712444844113692 341497234016264540
7
923004266892618172 15365813785503270 930609521602302292 819335542601433618 213670074288711286 150311691204302148 244405681344585926
5
371893080714371800 575829750571342010 292988012239447120 115093373296591180 268...

output:

341497234016264540 958712444844113692
143141501854884272 650104839430189116
132941437397264810 396623170642536694
923004266892618172 930609521602302292
244405681344585926 819335542601433618
531870611973009772 926806894247460232
213670074288711286 729338753110235002
150311691204302148 471504413699473...

result:

ok correct (100000 test cases)

Test #36:

score: 0
Accepted
time: 153ms
memory: 3760kb

input:

100000
4
928198344825292264 690070772109811286 244045206839989604 561025252182682906
3
627239866615848210 42470017740412280 54251562555326842
3
490057757292451598 818062735467254804 348318035919019310
2
551686081736618768 194488231774246450
3
112852023970360962 332810104058707034 451110399052627062
...

output:

561025252182682906 690070772109811286
625548012146247096 928198344825292264
244045206839989604 776873178485769680
54251562555326842 627239866615848210
42470017740412280 340745714585587526
348318035919019310 490057757292451598
419187896605735454 818062735467254804
194488231774246450 55168608173661876...

result:

ok correct (100000 test cases)

Test #37:

score: 0
Accepted
time: 205ms
memory: 4044kb

input:

50000
15
970453612553526824 403854393807928174 722892131244078370 35115189723455662 375191889860000444 915405723947874872 635574780184696680 264400470199418708 859039596531178468 27938184881043946 553805664139227226 876314307095280030 571028682295683456 30435765695090076 81051167961127742
20
7987413...

output:

915405723947874872 970453612553526824
859039596531178468 942929668250700848
900984632390939658 876314307095280030
635574780184696680 888649469743109844
762112124963903262 722892131244078370
571028682295683456 742502128103990816
403854393807928174 553805664139227226
478830028973577700 656765405199837...

result:

ok correct (50000 test cases)

Test #38:

score: 0
Accepted
time: 205ms
memory: 4040kb

input:

50000
20
998788559176849620 191593882411529926 342711646561735406 56435783243285828 213144199738872896 552932543009462260 862655508602678778 197769932466201968 649107231900330578 606332158266321414 679519095246181928 69228654018660218 907522706303602556 706594708190768848 317996892998797510 98299001...

output:

982990013470682716 998788559176849620
907522706303602556 990889286323766168
862655508602678778 949205996313684362
706594708190768848 801974222113409124
754284465152088986 905930752458181570
649107231900330578 830107608805135278
739607420352732928 679519095246181928
552932543009462260 709563257799457...

result:

ok correct (50000 test cases)

Test #39:

score: 0
Accepted
time: 206ms
memory: 3760kb

input:

50000
19
687533614023914694 738663892302361454 628044408557611320 475365328934162610 242048409095362442 254414508714647088 415287407545536222 333427085181162020 691789987581261114 501496830456417768 370865072857248388 610878478005084624 460491699469405256 995621599317911412 72184531803437802 5221300...

output:

691789987581261114 738663892302361454
715226939941811284 995621599317911412
628044408557611320 855424269629861348
741734339093736334 687533614023914694
522130070969414520 610878478005084624
501496830456417768 566504274487249572
534000552471833670 714633976558825514
473640262986677202 475365328934162...

result:

ok correct (50000 test cases)

Test #40:

score: 0
Accepted
time: 195ms
memory: 3776kb

input:

30000
25
701453932981408346 465306500019836282 792774089369512740 928134668660137906 489548012753296822 563069662510759842 456553328586506700 752651620972947846 610563120623014800 946872198162810216 382124190056540228 528408240467204940 156080508230960224 755279683495886594 353003950140523154 726814...

output:

792774089369512740 946872198162810216
869823143766161478 928134668660137906
759546580482469476 898978906213149692
752651620972947846 755279683495886594
753965652234417220 829262743347809584
726814281386478566 791614197791113402
691288776835558270 701453932981408346
696371354908483308 759214239588795...

result:

ok correct (30000 test cases)

Test #41:

score: 0
Accepted
time: 187ms
memory: 3836kb

input:

30000
24
802553849623129746 211707666543464912 78106851365388652 41150834245659428 824295231323480318 65220471583082028 504011063830422278 582465764474213950 653316240753155704 254391730000013712 73470169815090336 70058062306145696 320805890715812130 762434076887201766 107191591092647094 66623182252...

output:

824295231323480318 973662733681459690
801262516027000718 802553849623129746
801908182825065232 898978982502470004
762434076887201766 850443582663767618
713862378171374300 806438829775484692
684143755784659968 760150603973429496
653316240753155704 722147179879044732
582465764474213950 687731710316100...

result:

ok correct (30000 test cases)

Test #42:

score: 0
Accepted
time: 187ms
memory: 4048kb

input:

30000
27
457692759396051910 105542225399435134 28952855744712754 551775949854678384 243201017518706110 830727952675976422 770508119165800012 202072001288194376 842102259870000526 184524967708115324 636362069740656520 654459612358466674 183209892432401444 100513548134942846 72707763558771580 42597951...

output:

938142428437837892 968793307366073360
932151312699294980 935240383379985812
859029090720613882 953467867901955626
842102259870000526 906248479311284754
874175369590642640 933695848039640396
830727952675976422 903935608815141518
654459612358466674 867331780745558970
636362069740656520 770508119165800...

result:

ok correct (30000 test cases)

Test #43:

score: 0
Accepted
time: 260ms
memory: 25928kb

input:

100
365633
240280625535601202 938026129049958522 147115906397155306 652580989323075650 725975096118295602 205776298062652394 601103849421971138 331987681752388762 840580362429635958 835259996207496842 119358021292888398 319502650126227206 963133797479057582 879470558738716974 741484002023142690 3370...

output:

999994459947143802 999998314036225950
999988952471980734 999993322572884726
999979646944405746 999991137522432730
999978113138479830 999985392233419238
999974952944140930 999981752685949534
999978352815045232 999996386991684876
999973946008257674 999987369903365054
999965491644962478 999973746139480...

result:

ok correct (100 test cases)

Test #44:

score: 0
Accepted
time: 270ms
memory: 23220kb

input:

100
468798
784219641558971418 868193736931466770 709669653094040434 820342537947112058 551143489403660526 267279653811163658 370522601251248390 368960240455457934 377406818992348662 446571520515917398 203417725700526758 781465163407686018 793863659816666930 689102809204233742 460833182899194594 8845...

output:

999997480227244470 999998051535839950
999994057763429462 999997765881542210
999988131520223090 999989314391800150
999988722956011620 999995911822485836
999985194878496546 999987712064706606
999986453471601576 999992317389248728
999981059853276314 999983479480313094
999982269666794704 999989385430425...

result:

ok correct (100 test cases)

Test #45:

score: 0
Accepted
time: 272ms
memory: 21000kb

input:

100
335003
576606818757903242 39138102231712338 101565358810296722 500967049719563958 60093483316193590 435418544638688670 883896893287765898 482015906798694930 208166390296394766 603169642587608970 697598340090102702 37116072285605102 692409274069565602 359039270687175358 598214522887322026 9588135...

output:

999988200378028302 999998172490495542
999986031944739378 999993186434261922
999985235589577006 999989609189500650
999974808021380542 999980006688674814
999974031844918374 999977407355027678
999971393566384006 999975719599973026
999973556583178516 999987422389538828
999967718126434994 999969994107613...

result:

ok correct (100 test cases)

Subtask #4:

score: 52
Accepted

Test #46:

score: 52
Accepted
time: 280ms
memory: 22620kb

input:

100
211957
911918942087402387 344230223346742784 16289402153237664 528890583619159010 886281719684850237 865484734102017297 321851390502278959 754268375474197153 237414161302130571 135637002716682378 824412491959977735 162505521049217610 246319278060116103 666703181591704279 650875500699154233 96397...

output:

999986836946219591 999995780696307067
999991308821263329 999987879334733917
999975865186923611 999989594077998623
999982729632461117 999979870710511665
999975829494810411 999981300171486391
999973457357174193 999978564833148401
999956506070848785 999976011095161297
999925938739394511 999963221769197...

result:

ok correct (100 test cases)

Test #47:

score: 0
Accepted
time: 275ms
memory: 22096kb

input:

100
370255
32123537214468981 350412204946624705 402282150635760683 248912430361225231 814736352355688646 993128811372128790 305317864278631485 66833495387076887 496823364648202292 264249740623008900 93622460733892150 517687340999728245 175953208796215136 463180247813587246 70314179322549593 14399267...

output:

999993274285978653 999997422925998873
999995348605988763 999997002901632163
999983301435099223 999996175753810463
999982599577751783 999989738594454843
999978509354298185 999986169086103313
999966741751779375 999971225338839583
999959673959773235 999968983545309479
999964328752541357 999982339220200...

result:

ok correct (100 test cases)

Test #48:

score: 0
Accepted
time: 280ms
memory: 22528kb

input:

100
118972
792375453970645873 576892825324240408 748164844574876655 32445009242823206 772953447561904131 633394009050854551 73696656498092749 870080114842373195 702953534252556424 528688137119642251 451634665273988550 195243066602861962 87567025505658553 138064336792733795 933007798725485674 3381824...

output:

999980551922173585 999993115219508293
999973338753405267 999986833570840939
999945462631562679 999980086162123103
999924049295060583 999962774396842891
999908605517278505 999943411845951737
999901803262236769 999926008681615121
999883643947101247 999900809746295867
999892226846698557 999913905971925...

result:

ok correct (100 test cases)

Test #49:

score: 0
Accepted
time: 478ms
memory: 39344kb

input:

100000
9
445759869974051228 776915644420529579 55748031156491160 547224621619359770 889968101069780792 938247829722065514 237508986668564632 706265918966029229 370065298249404353
3
760967737555474154 295101678372866180 641208729681524189
2
127843418996257285 904661771444761027
10
636895207833865394 ...

output:

370065298249404353 706265918966029229
538165608607716791 776915644420529579
55748031156491160 237508986668564632
146628508912527896 445759869974051228
296194189443289562 938247829722065514
547224621619359770 617221009582677538
582222815601018654 889968101069780792
657540626514123185 7360954583353997...

result:

ok correct (100000 test cases)

Test #50:

score: 0
Accepted
time: 471ms
memory: 39364kb

input:

100000
8
343388323688032173 550415463920114678 251670338444943060 256689393391056345 404385021375903958 995166243471920543 860903431533146385 67846695682036204
9
998023313833514208 860774593562919489 9332807977672245 148025467890922435 465470929629928703 378159063682848693 997866453726546368 7830082...

output:

343388323688032173 860903431533146385
602145877610589279 995166243471920543
256689393391056345 798656060541254911
67846695682036204 251670338444943060
159758517063489632 404385021375903958
527672726966155628 550415463920114678
282071769219696795 539044095443135153
465470929629928703 9579066320058484...

result:

ok correct (100000 test cases)

Test #51:

score: 0
Accepted
time: 476ms
memory: 39424kb

input:

100000
7
840717540090533292 617702668150315569 47258224049727997 366453403548007339 518467519998458465 192985721717665988 484262692025639304
5
307077794910431698 464754790294255410 513802193636240811 582627687640822775 654807022802006442
8
146983991099455155 150409570353559663 311654808558245385 395...

output:

518467519998458465 617702668150315569
47258224049727997 568085094074387017
307671659062057507 366453403548007339
192985721717665988 484262692025639304
338624206871652646 840717540090533292
337062531305032423 589670873481092969
-1
286890081457737313 311654808558245385
150409570353559663 5457822077288...

result:

ok correct (100000 test cases)

Test #52:

score: 0
Accepted
time: 422ms
memory: 9372kb

input:

10000
57
720575940379312015 72057594037960591 576460752303456143 288230376151744399 504403158265528207 32655 72057594037960591 504403158265528207 720575940379312015 144115188075888527 576460752303456143 288230376151744399 288230376151744399 576460752303456143 32655 288230376151744399 32655 720575940...

output:

32655 180143985094852495
90071992547442575 32655
45035996273737615 720575940379312015
382805968326524815 720575940379312015
551690954352918415 720575940379312015
636133447366115215 720575940379312015
678354693872713615 720575940379312015
699465317126012815 648518346341384079
673991831733698447 64851...

result:

ok correct (10000 test cases)

Test #53:

score: 0
Accepted
time: 402ms
memory: 9364kb

input:

10000
56
504403158265510643 792633534417222387 828662331436186355 72057594037943027 720575940379294451 644888515994237754 684547143360330483 15091 108086391056906995 72057594037943027 252201579132762867 432345564227582707 756604737398258419 396316767208618739 36028797018979059 828662331436186355 396...

output:

15091 846676729945668339
423338364972841715 15091
211669182486428403 864691128455150323
538180155470789363 864691128455150323
701435641962969843 828662331436186355
765048986699578099 828662331436186355
796855659067882227 792633534417222387
794744596742552307 756604737398258419
775674667070405363 756...

result:

ok correct (10000 test cases)

Test #54:

score: 0
Accepted
time: 394ms
memory: 9368kb

input:

10000
58
432345564227618971 51355 51355 432345564227618971 72057594037979291 288230376151763099 432345564227618971 51355 288230376151763099 144115188075907227 144115188075907227 51355 432345564227618971 144115188075907227 432345564227618971 432345564227618971 288230376151763099 288230376151763099 28...

output:

51355 72057594037979291
36028797019015323 51355
18014398509533339 432345564227618971
225179981368576155 432345564227618971
328762772798097563 432345564227618971
380554168512858267 432345564227618971
406449866370238619 432345564227618971
419397715298928795 432345564227618971
425871639763273883 432345...

result:

ok correct (10000 test cases)

Extra Test:

score: 0
Extra Test Passed