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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#737122#9613. 计算几何hos_lyric#68 3954ms177276kbC++148.5kb2024-11-12 14:41:202024-11-12 14:41:55

Judging History

你现在查看的是最新测评结果

  • [2024-11-12 14:41:55]
  • 评测
  • 测评结果:68
  • 用时:3954ms
  • 内存:177276kb
  • [2024-11-12 14:41:20]
  • 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")


// T: monoid representing information of an interval.
//   T()  should return the identity.
//   T(S s)  should represent a single element of the array.
//   T::pull(const T &l, const T &r)  should pull two intervals.
template <class T> struct SegmentTreePoint {
  int logN, n;
  vector<T> ts;
  SegmentTreePoint() : logN(0), n(0) {}
  explicit SegmentTreePoint(int n_) {
    for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
    ts.resize(n << 1);
  }
  template <class S> explicit SegmentTreePoint(const vector<S> &ss) {
    const int n_ = ss.size();
    for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
    ts.resize(n << 1);
    for (int i = 0; i < n_; ++i) at(i) = T(ss[i]);
    build();
  }
  T &at(int i) {
    return ts[n + i];
  }
  void build() {
    for (int u = n; --u; ) pull(u);
  }

  inline void pull(int u) {
    ts[u].pull(ts[u << 1], ts[u << 1 | 1]);
  }

  // Changes the value of point a to s.
  template <class S> void change(int a, const S &s) {
    assert(0 <= a); assert(a < n);
    ts[a += n] = T(s);
    for (; a >>= 1; ) pull(a);
  }

  // Applies T::f(args...) to point a.
  template <class F, class... Args>
  void ch(int a, F f, Args &&... args) {
    assert(0 <= a); assert(a < n);
    (ts[a += n].*f)(args...);
    for (; a >>= 1; ) pull(a);
  }

  // Calculates the product for [a, b).
  T get(int a, int b) {
    assert(0 <= a); assert(a <= b); assert(b <= n);
    if (a == b) return T();
    T prodL, prodR, t;
    for (a += n, b += n; a < b; a >>= 1, b >>= 1) {
      if (a & 1) { t.pull(prodL, ts[a++]); prodL = t; }
      if (b & 1) { t.pull(ts[--b], prodR); prodR = t; }
    }
    t.pull(prodL, prodR);
    return t;
  }

  // Calculates T::f(args...) of a monoid type for [a, b).
  //   op(-, -)  should calculate the product.
  //   e()  should return the identity.
  template <class Op, class E, class F, class... Args>
#if __cplusplus >= 201402L
  auto
#else
  decltype((std::declval<T>().*F())())
#endif
  get(int a, int b, Op op, E e, F f, Args &&... args) {
    assert(0 <= a); assert(a <= b); assert(b <= n);
    if (a == b) return e();
    auto prodL = e(), prodR = e();
    for (a += n, b += n; a < b; a >>= 1, b >>= 1) {
      if (a & 1) prodL = op(prodL, (ts[a++].*f)(args...));
      if (b & 1) prodR = op((ts[--b].*f)(args...), prodR);
    }
    return op(prodL, prodR);
  }

  // Find min b s.t. T::f(args...) returns true,
  // when called for the partition of [a, b) from left to right.
  //   Returns n + 1 if there is no such b.
  template <class F, class... Args>
  int findRight(int a, F f, Args &&... args) {
    assert(0 <= a); assert(a <= n);
    if ((T().*f)(args...)) return a;
    if (a == n) return n + 1;
    a += n;
    for (; ; a >>= 1) if (a & 1) {
      if ((ts[a].*f)(args...)) {
        for (; a < n; ) {
          if (!(ts[a <<= 1].*f)(args...)) ++a;
        }
        return a - n + 1;
      }
      ++a;
      if (!(a & (a - 1))) return n + 1;
    }
  }

  // Find max a s.t. T::f(args...) returns true,
  // when called for the partition of [a, b) from right to left.
  //   Returns -1 if there is no such a.
  template <class F, class... Args>
  int findLeft(int b, F f, Args &&... args) {
    assert(0 <= b); assert(b <= n);
    if ((T().*f)(args...)) return b;
    if (b == 0) return -1;
    b += n;
    for (; ; b >>= 1) if ((b & 1) || b == 2) {
      if ((ts[b - 1].*f)(args...)) {
        for (; b <= n; ) {
          if (!(ts[(b <<= 1) - 1].*f)(args...)) --b;
        }
        return b - n - 1;
      }
      --b;
      if (!(b & (b - 1))) return -1;
    }
  }
};  // SegmentTreePoint<T>

////////////////////////////////////////////////////////////////////////////////


struct NodeMin {
  static constexpr int INF = 1001001001;
  int mn;
  NodeMin() : mn(+INF) {}
  NodeMin(int val) : mn(val) {}
  void pull(const NodeMin &l, const NodeMin &r) {
    mn = min(l.mn, r.mn);
  }
  void ch(int val) {
    mn = val;
  }
  void chmin(int val) {
    if (mn > val) mn = val;
  }
  bool test(int tar) const {
    return (mn <= tar);
  }
};


void bChmin(vector<unsigned> &bit, int pos, unsigned val) {
  const int bitN = bit.size();
  for (int x = pos; x < bitN; x |= x + 1) chmin(bit[x], val);
}
unsigned bMin(const vector<unsigned> &bit, int pos) {
  unsigned ret = ~0U;
  for (int x = pos; x > 0; x &= x - 1) chmin(ret, bit[x - 1]);
  return ret;
}


int readInt() {
  int c;
  for (; ; ) {
    c = getchar();
    if ('0' <= c && c <= '9') break;
    if (c == -1) throw -1;
    if (c == '-') return -readInt();
  }
  int x = c - '0';
  for (; ; ) {
    c = getchar();
    if (!('0' <= c && c <= '9')) return x;
    x = x * 10 + (c - '0');
  }
}
char writeIntBuffer[10];
void writeUInt(unsigned x) {
  int i = 0;
  do {
    writeIntBuffer[i++] = '0' + (x % 10);
    x /= 10;
  } while (x != 0);
  for (; i > 0; ) {
    putchar(writeIntBuffer[--i]);
  }
}


int N, Q;
vector<int> A, B;
vector<int> L, R;

unsigned dist(int u, int v) {
  return (unsigned)abs(A[u] - A[v]) + (unsigned)abs(B[u] - B[v]);
}

vector<vector<int>> vss;

void sub1d() {
  vector<pair<int, int>> aus(N);
  for (int u = 0; u < N; ++u) aus[u] = make_pair(A[u], u);
  sort(aus.begin(), aus.end());
  vector<int> poss(N, -1);
  for (int j = 0; j < N; ++j) poss[aus[j].second] = j;
  vector<int> lef(N);
  for (int j = 0; j < N; ++j) lef[j] = (j && aus[j - 1].first == aus[j].first) ? lef[j - 1] : j;
  SegmentTreePoint<NodeMin> seg(N);
  for (int u = N; --u >= 0; ) {
    const int pos = poss[u];
    for (int v = N; ; ) {
      int l = seg.findLeft(pos, &NodeMin::test, v - 1);
      int r = seg.findRight(pos + 1, &NodeMin::test, v - 1);
      if (l >= 0) l = upper_bound(aus.begin() + lef[l], aus.begin() + l, make_pair(aus[l].first, u)) - aus.begin();
      --r;
      if (l < 0 && N <= r) break;
      if (l >= 0 && (N <= r || make_pair(A[u] - aus[l].first, aus[l].second) <= make_pair(aus[r].first - A[u], aus[r].second))) {
        v = aus[l].second;
      } else {
        v = aus[r].second;
      }
      vss[u].push_back(v);
    }
    seg.change(pos, u);
  }
}

int main() {
  for (; ~scanf("%d%d", &N, &Q); ) {
    A.resize(N);
    B.resize(N);
    for (int u = 0; u < N; ++u) {
      // scanf("%d%d", &A[u], &B[u]);
      A[u] = readInt();
      B[u] = readInt();
    }
    L.resize(Q);
    R.resize(Q);
    for (int q = 0; q < Q; ++q) {
      // scanf("%d%d", &L[q], &R[q]);
      L[q] = readInt();
      R[q] = readInt();
      --L[q];
    }
    
    vss.assign(N, {});
    if (B == vector<int>(N, 0)) {
      sub1d();
    } else {
      for (int u = 0; u < N; ++u) {
        unsigned mn = ~0U;
        for (int v = u + 1; v < N; ++v) {
          if (chmin(mn, dist(u, v))) {
            vss[u].push_back(v);
          }
        }
      }
    }
    
    vector<vector<int>> qss(N);
    for (int q = 0; q < Q; ++q) qss[L[q]].push_back(q);
    vector<unsigned> ans(Q, ~0U);
    vector<unsigned> bit(N, ~0U);
    for (int u = N; --u >= 0; ) {
      for (const int v : vss[u]) {
        bChmin(bit, v, dist(u, v));
      }
      for (const int q : qss[u]) {
        ans[q] = bMin(bit, R[q]);
      }
    }
    
    for (int q = 0; q < Q; ++q) {
      writeUInt(ans[q]);
      putchar('\n');
    }
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Pretests


Final Tests

Test #1:

score: 4
Accepted
time: 4ms
memory: 4240kb

input:

2000 2000
983850330 731103020
513263912 234227610
788795134 228585831
-983909940 -814082030
-582261039 729875680
617950974 -259602422
-355311469 355769341
-394119311 -493842356
899026446 -402238603
-300533665 433674923
946553927 26786776
46270288 43713228
-838909861 427788951
863776211 691106038
-93...

output:

511457
511457
1660620
25525096
1660620
511457
9525149
57819607
1660620
1660620
511457
1660620
511457
511457
1660620
7013046
511457
1660620
7013046
1660620
1660620
511457
3297708
1660620
1660620
3297708
1660620
1660620
1660620
3297708
4830700
8953781
511457
511457
1660620
1660620
1660620
8953781
5114...

result:

ok 2000 numbers

Test #2:

score: 4
Accepted
time: 3ms
memory: 4024kb

input:

2000 2000
407439483 0
-924180082 0
534637753 0
-836707453 0
-385278990 0
90204634 0
454360393 0
-895242427 0
-112231538 0
-323497705 0
368203671 0
-124641980 0
183953551 0
596609116 0
666423112 0
706701157 0
988299741 0
-248457324 0
-507127215 0
610030981 0
356918300 0
110156240 0
317203493 0
754544...

output:

1043672
417
1362
417
1362
1362
417
6857
417
2658
90109
1021
417
2658
269047
2241
2241
417
417
2658
2658
417
417
14980
1362
1362
90109
1362
56414
1021
207612
2658
1021
417
417
1362
1362
417
417
1021
1362
40782
417
1362
1021
417
417
417
2241
6857
1021
1021
417
2658
1021
417
1362
417
417
417
417
1362
4...

result:

ok 2000 numbers

Test #3:

score: 4
Accepted
time: 243ms
memory: 6540kb

input:

20000 20000
-721847248 671834627
-750033826 -893098471
358123311 740735694
-15749050 352553172
331628828 285387115
-870680297 30680547
747479743 495644671
-24785538 458380663
-49052185 540025540
192115219 694762799
-582891748 -643029079
-356894103 726491498
213744952 457769371
-357728988 745592631
-...

output:

384993
109364
882199
184464
184464
109364
109364
109364
109364
109364
109364
264720
384993
109364
109364
184464
184464
109364
109364
109364
109364
184464
184464
109364
264720
364852
264720
109364
109364
364852
109364
364852
184464
184464
109364
264720
1619872
364852
109364
184464
478876
109364
10936...

result:

ok 20000 numbers

Test #4:

score: 4
Accepted
time: 245ms
memory: 6416kb

input:

20000 20000
-856287 613193
884980 313749
-51917 -595036
-515889 732611
768011 201825
685038 -690361
-825296 610210
693313 378198
153998 -220528
-881367 -427847
-762386 726194
-882783 -396975
-585188 -646369
852468 -769564
845740 446417
-272832 806448
-23829 -843528
-290649 -509815
183302 929309
-810...

output:

398
441
17
254
17
1529
17
263
254
263
263
263
17
17
309
263
398
263
263
509
17
441
263
17
17
263
509
17
17
441
17
17
477
263
377
263
309
17
254
17
263
263
398
17
263
1022
477
17
17
377
477
415
17
1059
377
256
256
263
17
254
17
709
17
7667
263
17
271
17
17
263
271
398
398
377
17
17
17
441
17
17
263
2...

result:

ok 20000 numbers

Test #5:

score: 4
Accepted
time: 248ms
memory: 6416kb

input:

20000 20000
272933 -400117
36074 -350576
-180416 245927
-152816 -532917
-815869 -121672
900928 561561
696604 -34106
281988 -30073
37999 -748187
-260504 367199
-254538 984542
-929979 -597816
735632 -731486
-88688 -820300
-180173 516379
319782 -306180
461815 88179
-863913 497662
-972928 920984
670858 ...

output:

663
321
166
497
259
183
259
259
166
166
183
166
259
166
949
166
259
559
166
321
166
1215
166
183
1131
1215
259
183
919
166
1131
166
905
166
624
166
718
3226
166
166
624
321
259
166
166
259
663
259
183
2887
718
554
166
183
259
166
166
183
554
183
166
321
1860
166
166
259
259
166
259
166
259
3588
166
...

result:

ok 20000 numbers

Test #6:

score: 4
Accepted
time: 44ms
memory: 6436kb

input:

20000 20000
961714 0
-256591 0
858025 0
302536 0
989232 0
921482 0
132252 0
-687494 0
976712 0
584368 0
-379471 0
-368374 0
-421478 0
-269707 0
-840836 0
683604 0
-233785 0
-509259 0
691924 0
-326966 0
699666 0
-602646 0
-394566 0
-762188 0
-721221 0
110375 0
123249 0
-679471 0
476495 0
-247891 0
-6...

output:

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
1
0
0
0
36
0
847
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
10
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
4
605
11
0
0
1
0
0
0
0
0
0
0
0
65
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
...

result:

ok 20000 numbers

Test #7:

score: 4
Accepted
time: 44ms
memory: 6436kb

input:

20000 20000
931651 0
-193344 0
-459921 0
-208681 0
265915 0
221047 0
-976889 0
836902 0
-128302 0
775194 0
523077 0
-398264 0
296667 0
-324286 0
477274 0
226741 0
-70369 0
627346 0
-81394 0
525865 0
454142 0
708462 0
-629738 0
-171617 0
-745312 0
-647420 0
-249238 0
-911374 0
255729 0
565402 0
-3974...

output:

1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
5
227
0
0
0
0
0
0
1
3
0
0
0
0
0
0
1
41
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
52
0
0
0
0
0
0
0
0
0
0
0
306
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
...

result:

ok 20000 numbers

Test #8:

score: 4
Accepted
time: 45ms
memory: 6336kb

input:

20000 20000
286328653 0
-436132873 0
-950502327 0
62507734 0
410183824 0
-244422860 0
-89619254 0
-36224025 0
987264815 0
-366170043 0
789288990 0
595133547 0
129243363 0
480765515 0
-367270251 0
85317458 0
-717834130 0
990039646 0
601945059 0
979377776 0
487802144 0
-543661591 0
-649863532 0
530289...

output:

1
1
469
1564
1668
1
4
1
1659
1
4
1
1
4
1
14
1
428
4
1
1
32
1
13372
4
1
688
4
7
4
4
7
1
7
1
1
1
1
1
37
644
437
91
7
18
104
1
1
1
1
18
1
37
14
37
1
1
306
18
1
7
1601
45
14
14
1
1
1244
32
553
1
37
1225
1
37
1
1
7
1
1
1
4
7
37
14
7
1
1
1
23657
1
104
17499
18
1
1
1
1
37
1
1
14
1
4
7
37
484
1
1
1
836
1
1
...

result:

ok 20000 numbers

Test #9:

score: 0
Time Limit Exceeded

input:

200000 200000
-412960500 577830338
99802584 -136950865
-950307156 -859369040
793568959 -565815756
411737945 -479377622
569675957 -601905445
-417176412 -729638186
200119881 -430545998
-86043427 969867029
64175162 -427861527
83451953 -756750354
-748032722 43908052
418515829 494502750
346664686 9215021...

output:


result:


Test #10:

score: 0
Time Limit Exceeded

input:

200000 200000
215020 -29462
152216 -199822
-604632 -191567
10263 -830451
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366847 -915734
-700...

output:


result:


Test #11:

score: 0
Time Limit Exceeded

input:

200000 200000
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60...

output:


result:


Test #12:

score: 4
Accepted
time: 598ms
memory: 36120kb

input:

200000 200000
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...

output:

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...

result:

ok 200000 numbers

Test #13:

score: 4
Accepted
time: 608ms
memory: 36080kb

input:

200000 200000
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output:

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...

result:

ok 200000 numbers

Test #14:

score: 4
Accepted
time: 597ms
memory: 36192kb

input:

200000 200000
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540155031...

output:

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7...

result:

ok 200000 numbers

Test #15:

score: 4
Accepted
time: 88ms
memory: 21276kb

input:

2000 1000000
600102029 78163345
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765610921 -158965479
-131326155 454415998...

output:

3681425
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2994042
2591533
2591533
681466
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681466
3248740
681466
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2994042
45...

result:

ok 1000000 numbers

Test #16:

score: 4
Accepted
time: 93ms
memory: 21392kb

input:

2000 1000000
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-60073...

output:

169
993
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736
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12442
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993
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2714
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307731
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98
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13587...

result:

ok 1000000 numbers

Test #17:

score: 0
Time Limit Exceeded

input:

1000000 10
156999516 -24390575
-347759760 638897014
-102812461 325031686
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233518030 -695740543
524417586 -804059937
-4...

output:


result:


Test #18:

score: 0
Time Limit Exceeded

input:

1000000 10
281115 207197
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-689936 477469
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316083 266638
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-161326...

output:


result:


Test #19:

score: 4
Accepted
time: 3798ms
memory: 153084kb

input:

1000000 10
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753390...

output:

0
2
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0

result:

ok 10 numbers

Test #20:

score: 0
Time Limit Exceeded

input:

1000000 1000000
-565158168 192228664
-60734026 -876227887
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415705153 359751682
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138582181 234580165
989042915 303473055
848403115 67207...

output:


result:


Test #21:

score: 0
Time Limit Exceeded

input:

1000000 1000000
937028 -142721
470057 -596447
805603 -653737
422827 -146839
-134461 -284129
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338633 -558591
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...

output:


result:


Test #22:

score: 0
Time Limit Exceeded

input:

1000000 1000000
556639 -726845
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907001 -483744
941440 533716
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56288 -494808
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624...

output:


result:


Test #23:

score: 4
Accepted
time: 3938ms
memory: 175968kb

input:

1000000 1000000
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output:

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result:

ok 1000000 numbers

Test #24:

score: 4
Accepted
time: 3954ms
memory: 175816kb

input:

1000000 1000000
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output:

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...

result:

ok 1000000 numbers

Test #25:

score: 4
Accepted
time: 3897ms
memory: 177276kb

input:

1000000 1000000
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output:

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...

result:

ok 1000000 numbers