QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#427627#8775. MountainCraftucup-team133#AC ✓369ms27076kbC++179.9kb2024-06-01 14:23:462024-06-01 14:23:48

Judging History

你现在查看的是最新测评结果

  • [2024-06-01 14:23:48]
  • 评测
  • 测评结果:AC
  • 用时:369ms
  • 内存:27076kb
  • [2024-06-01 14:23:46]
  • 提交

answer


// -fsanitize=undefined,
//#define _GLIBCXX_DEBUG


//#pragma GCC target("avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")

#include <iostream>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <queue>
#include <algorithm>
#include <cmath>
#include <iomanip>
#include <random>
#include <stdio.h>
#include <fstream>
#include <functional>
#include <cassert>
#include <unordered_map>
#include <bitset>
#include <chrono>
#include <climits>
#include <bitset>

#include <algorithm>

#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
    int x = 0;
    while ((1U << x) < (unsigned int)(n)) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
    unsigned long index;
    _BitScanForward(&index, n);
    return index;
#else
    return __builtin_ctz(n);
#endif
}

}  // namespace internal

}  // namespace atcoder

#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {

template <class S,
          S (*op)(S, S),
          S (*e)(),
          class F,
          S (*mapping)(F, S),
          F (*composition)(F, F),
          F (*id)()>
struct lazy_segtree {
  public:
    lazy_segtree() : lazy_segtree(0) {}
    lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
    lazy_segtree(const std::vector<S>& v) : _n(int(v.size())) {
        log = internal::ceil_pow2(_n);
        size = 1 << log;
        d = std::vector<S>(2 * size, e());
        lz = std::vector<F>(size, id());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) {
            update(i);
        }
    }

    void set(int p, S x) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    S get(int p) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        return d[p];
    }

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return e();

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push(r >> i);
        }

        S sml = e(), smr = e();
        while (l < r) {
            if (l & 1) sml = op(sml, d[l++]);
            if (r & 1) smr = op(d[--r], smr);
            l >>= 1;
            r >>= 1;
        }

        return op(sml, smr);
    }

    S all_prod() { return d[1]; }

    void apply(int p, F f) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = mapping(f, d[p]);
        for (int i = 1; i <= log; i++) update(p >> i);
    }
    void apply(int l, int r, F f) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return;

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int l2 = l, r2 = r;
            while (l < r) {
                if (l & 1) all_apply(l++, f);
                if (r & 1) all_apply(--r, f);
                l >>= 1;
                r >>= 1;
            }
            l = l2;
            r = r2;
        }

        for (int i = 1; i <= log; i++) {
            if (((l >> i) << i) != l) update(l >> i);
            if (((r >> i) << i) != r) update((r - 1) >> i);
        }
    }

    template <bool (*g)(S)> int max_right(int l) {
        return max_right(l, [](S x) { return g(x); });
    }
    template <class G> int max_right(int l, G g) {
        assert(0 <= l && l <= _n);
        assert(g(e()));
        if (l == _n) return _n;
        l += size;
        for (int i = log; i >= 1; i--) push(l >> i);
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!g(op(sm, d[l]))) {
                while (l < size) {
                    push(l);
                    l = (2 * l);
                    if (g(op(sm, d[l]))) {
                        sm = op(sm, d[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, d[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template <bool (*g)(S)> int min_left(int r) {
        return min_left(r, [](S x) { return g(x); });
    }
    template <class G> int min_left(int r, G g) {
        assert(0 <= r && r <= _n);
        assert(g(e()));
        if (r == 0) return 0;
        r += size;
        for (int i = log; i >= 1; i--) push((r - 1) >> i);
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!g(op(d[r], sm))) {
                while (r < size) {
                    push(r);
                    r = (2 * r + 1);
                    if (g(op(d[r], sm))) {
                        sm = op(d[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(d[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

  private:
    int _n, size, log;
    std::vector<S> d;
    std::vector<F> lz;

    void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
    void all_apply(int k, F f) {
        d[k] = mapping(f, d[k]);
        if (k < size) lz[k] = composition(f, lz[k]);
    }
    void push(int k) {
        all_apply(2 * k, lz[k]);
        all_apply(2 * k + 1, lz[k]);
        lz[k] = id();
    }
};

}  // namespace atcoder






using namespace std;
using namespace atcoder;





#define rep(i,n) for (int i=0;i<n;i+=1)
#define rrep(i,n) for (int i=n-1;i>-1;i--)
#define pb push_back
#define all(x) (x).begin(), (x).end()

#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << " )\n";

template<class T>
using vec = vector<T>;
template<class T>
using vvec = vec<vec<T>>;
template<class T>
using vvvec = vec<vvec<T>>;
using ll = long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;


template<class T>
bool chmin(T &a, T b){
  if (a>b){
    a = b;
    return true;
  }
  return false;
}

template<class T>
bool chmax(T &a, T b){
  if (a<b){
    a = b;
    return true;
  }
  return false;
}

template<class T>
T sum(vec<T> x){
  T res=0;
  for (auto e:x){
    res += e;
  }
  return res;
}

template<class T>
void printv(vec<T> x){
  for (auto e:x){
    cout<<e<<" ";
  }
  cout<<endl;
}



template<class T,class U>
ostream& operator<<(ostream& os, const pair<T,U>& A){
  os << "(" << A.first <<", " << A.second << ")";
  return os;
}

template<class T>
ostream& operator<<(ostream& os, const set<T>& S){
  os << "set{";
  for (auto a:S){
    os << a;
    auto it = S.find(a);
    it++;
    if (it!=S.end()){
      os << ", ";
    }
  }
  os << "}";
  return os;
}

template<class T>
ostream& operator<<(ostream& os, const tuple<T,T,T>& a){
  auto [x,y,z] = a;
  os << "(" << x << ", " << y << ", " << z << ")";
  return os;
}

template<class T>
ostream& operator<<(ostream& os, const map<ll,T>& A){
  os << "map{";
  for (auto e:A){
    os << e.first;
    os << ":";
    os << e.second;
    os << ", ";
  }
  os << "}";
  return os;
}

template<class T>
ostream& operator<<(ostream& os, const vec<T>& A){
  os << "[";
  rep(i,A.size()){
    os << A[i];
    if (i!=A.size()-1){
      os << ", ";
    }
  }
  os << "]" ;
  return os;
}

template <class T> void mkuni(vector<T>& v) {
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());
}


template <class T> int lwb(const vector<T>& v, const T& x) {
    return distance(v.begin(), lower_bound(v.begin(), v.end(), x));
}

using S = pair<int,int>;

S op(S a,S b){
  if (a.first == b.first){
    return {a.first,a.second+b.second};
  }
  if (a.first < b.first){
    return a;
  }
  else{
    return b;
  }
}

S e(){
  return {1e9,0};
}

using F = int;

F composite(F f, F g){
  return f + g;
}

S mapping(F f, S x){
  return {x.first + f, x.second};
}

F id(){
  return 0;
}

const long double a = sqrt(2);


void solve(){
  int N,W;
  cin>>N>>W;

  vec<int> val = {0,W};
  vec<pair<int,int>> query_xy;
  rep(i,N){
    int x,y;
    cin>>x>>y;
    int l = max(0,x-y), r = min(W,x+y);
    val.push_back(l);
    val.push_back(r);
    query_xy.push_back({x,y});
  }

  mkuni(val);
  int n = val.size();
  vec<pair<int,int>> query_lr(N);
  rep(i,N){
    auto [x,y] = query_xy[i];
    query_lr[i] = {lwb(val,max(x-y,0)),lwb(val,min(x+y,W))};
  }

  vec<pair<int,int>> init_LST(n-1);
  rep(i,n-1){
    init_LST[i] = {0,val[i+1] - val[i]};
  }

  lazy_segtree<S,op,e,F,mapping,composite,id> LST(init_LST);
  map<pair<int,int>,int> mountain;
  rep(i,N){
    mountain[query_xy[i]] = 0;
  }
  //debug(val);
  //debug(n);
  rep(i,N){
    if (mountain[query_xy[i]] == 0){
      auto [l,r] = query_lr[i];
      //debug(l);
      //debug(r);
      LST.apply(l,r,1);
    }
    else{
      auto [l,r] = query_lr[i];
      LST.apply(l,r,-1);
    }
    mountain[query_xy[i]] ^= 1;

    auto [mini,remove_len] = LST.all_prod();
    int res_len;
    if (mini == 0){
      res_len = W - remove_len;
    }
    else{
      res_len = W;
    }

    
    cout << a * res_len << "\n";
  }


  







  
  
  




}


int main(){
  ios::sync_with_stdio(false);
  std::cin.tie(nullptr);

  cout << setprecision(15);

  int T = 1;
  while (T--){
    solve();
  }
    
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3944kb

input:

3 10
3 2
7 3
9 6

output:

5.65685424949238
12.7279220613579
12.7279220613579

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

5 100
31 41
59 26
31 41
59 26
31 41

output:

101.823376490863
120.208152801713
73.5391052434009
0
101.823376490863

result:

ok 5 numbers

Test #3:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

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

output:

11.3137084989848
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.14213562...

result:

ok 100 numbers

Test #4:

score: 0
Accepted
time: 1ms
memory: 3940kb

input:

1000 100
95 8
54 8
64 96
47 34
77 47
99 91
45 70
8 6
64 84
48 42
53 14
73 66
38 27
6 52
19 75
33 39
6 24
37 80
27 45
96 48
55 95
67 1
23 78
40 4
76 7
77 22
4 47
41 31
60 54
96 37
79 52
63 40
7 92
17 7
74 12
93 16
87 5
67 43
60 29
71 58
52 41
53 84
38 2
46 87
13 54
54 14
16 93
57 7
91 98
31 23
70 3
9...

output:

18.3847763108502
41.0121933088198
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.421356...

result:

ok 1000 numbers

Test #5:

score: 0
Accepted
time: 2ms
memory: 3932kb

input:

1000 1000
942 407
513 739
329 437
605 318
847 416
128 543
588 237
903 365
703 556
313 928
621 344
974 444
780 265
993 889
103 427
94 977
897 586
566 326
785 938
224 952
150 441
716 802
729 584
954 347
640 4
91 633
738 970
823 253
158 890
115 734
327 391
554 258
373 67
396 995
788 73
609 703
627 801
...

output:

657.609306503489
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.2135623731
1414.213562...

result:

ok 1000 numbers

Test #6:

score: 0
Accepted
time: 134ms
memory: 8192kb

input:

200000 10
6 4
4 9
7 9
6 2
0 7
6 7
4 8
10 5
7 8
5 4
3 6
5 9
0 9
7 3
8 2
8 6
5 9
5 10
4 9
0 3
10 5
3 9
7 2
2 3
9 7
5 6
1 7
0 4
9 6
4 7
3 8
6 4
2 7
0 6
8 3
6 2
8 10
1 6
0 4
6 1
3 3
5 8
9 7
8 7
1 10
6 2
1 8
8 6
6 1
6 3
0 6
6 1
5 6
1 1
6 4
7 9
3 5
10 6
2 8
6 7
7 3
6 8
8 5
9 7
4 5
6 4
5 10
8 6
8 5
4 6
4 6...

output:

11.3137084989848
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.142135623731
14.14213562...

result:

ok 200000 numbers

Test #7:

score: 0
Accepted
time: 200ms
memory: 8388kb

input:

200000 100
96 9
26 82
73 33
12 92
13 77
87 2
23 79
41 91
75 28
6 45
42 81
27 51
7 64
80 90
27 65
77 72
54 60
79 8
10 61
46 15
65 16
75 95
65 4
89 38
42 74
96 63
48 87
39 78
2 59
36 48
36 66
12 75
44 45
80 86
79 99
26 30
29 54
39 44
7 27
99 23
41 76
23 71
76 51
90 76
59 22
45 70
73 98
24 94
70 54
76 ...

output:

18.3847763108502
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.42135623731
141.4213562...

result:

ok 200000 numbers

Test #8:

score: 0
Accepted
time: 338ms
memory: 20896kb

input:

200000 10000
8596 2507
1107 4452
8591 3460
3584 2911
8817 9663
1604 2760
6281 8431
5271 4811
2193 1874
5329 3970
2679 8672
8426 8447
117 4849
3471 6286
177 4806
9726 7217
6743 3882
573 4295
5291 7358
1356 6269
7882 8426
8750 985
5365 8276
7420 6372
8234 6329
7723 9014
3369 1097
7140 8329
3475 447
37...

output:

5530.98924244118
13392.6024356732
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.135623731
14142.1356...

result:

ok 200000 numbers

Test #9:

score: 0
Accepted
time: 369ms
memory: 27076kb

input:

200000 1000000000
979065421 937279323
384811311 879649222
673927841 883688174
47686221 518846247
805783947 475892423
94359891 104324315
116498230 496486640
155617000 261326127
423462080 949904263
758478482 824824842
594993542 173897699
495194886 158960628
409812195 339201236
958417812 891558399
7055...

output:

1355119095.86284
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562....

result:

ok 200000 numbers

Test #10:

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

input:

3 100
82 61
46 1
82 61

output:

111.722871427475
111.722871427475
2.82842712474619

result:

ok 3 numbers

Test #11:

score: 0
Accepted
time: 230ms
memory: 23664kb

input:

200000 200005
199999 1
199998 2
199997 3
199996 4
199995 5
199994 6
199993 7
199992 8
199991 9
199990 10
199989 11
199988 12
199987 13
199986 14
199985 15
199984 16
199983 17
199982 18
199981 19
199980 20
199979 21
199978 22
199977 23
199976 24
199975 25
199974 26
199973 27
199972 28
199971 29
19997...

output:

2.82842712474619
5.65685424949238
8.48528137423857
11.3137084989848
14.142135623731
16.9705627484771
19.7989898732233
22.6274169979695
25.4558441227157
28.2842712474619
31.1126983722081
33.9411254969543
36.7695526217005
39.5979797464467
42.4264068711929
45.254833995939
48.0832611206852
50.9116882454...

result:

ok 200000 numbers

Test #12:

score: 0
Accepted
time: 219ms
memory: 23712kb

input:

200000 200005
0 200000
1 199999
2 199998
3 199997
4 199996
5 199995
6 199994
7 199993
8 199992
9 199991
10 199990
11 199989
12 199988
13 199987
14 199986
15 199985
16 199984
17 199983
18 199982
19 199981
20 199980
21 199979
22 199978
23 199977
24 199976
25 199975
26 199974
27 199973
28 199972
29 199...

output:

282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.7124...

result:

ok 200000 numbers

Test #13:

score: 0
Accepted
time: 356ms
memory: 23808kb

input:

200000 200005
188054 11946
25503 174497
5164 194836
199742 258
65650 134350
93448 106552
165510 34490
33001 166999
54081 145919
123066 76934
50244 149756
46561 153439
66523 133477
8593 191407
173633 26367
105494 94506
198495 1505
75564 124436
83182 116818
123337 76663
186899 13101
110487 89513
10858...

output:

33788.390432218
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.712474619
282842.71247...

result:

ok 200000 numbers

Test #14:

score: 0
Accepted
time: 248ms
memory: 23696kb

input:

200000 200005
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 10
11 11
12 12
13 13
14 14
15 15
16 16
17 17
18 18
19 19
20 20
21 21
22 22
23 23
24 24
25 25
26 26
27 27
28 28
29 29
30 30
31 31
32 32
33 33
34 34
35 35
36 36
37 37
38 38
39 39
40 40
41 41
42 42
43 43
44 44
45 45
46 46
47 47
48 48
49 49
50 50
51 5...

output:

2.82842712474619
5.65685424949238
8.48528137423857
11.3137084989848
14.142135623731
16.9705627484771
19.7989898732233
22.6274169979695
25.4558441227157
28.2842712474619
31.1126983722081
33.9411254969543
36.7695526217005
39.5979797464467
42.4264068711929
45.254833995939
48.0832611206852
50.9116882454...

result:

ok 200000 numbers

Test #15:

score: 0
Accepted
time: 211ms
memory: 23796kb

input:

200000 200005
200000 200000
199999 199999
199998 199998
199997 199997
199996 199996
199995 199995
199994 199994
199993 199993
199992 199992
199991 199991
199990 199990
199989 199989
199988 199988
199987 199987
199986 199986
199985 199985
199984 199984
199983 199983
199982 199982
199981 199981
199980...

output:

282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.7835...

result:

ok 200000 numbers

Test #16:

score: 0
Accepted
time: 357ms
memory: 23704kb

input:

200000 200005
99686 99686
193692 193692
142065 142065
56279 56279
120521 120521
147618 147618
148660 148660
1328 1328
69007 69007
5297 5297
136306 136306
136195 136195
101372 101372
66966 66966
110843 110843
170697 170697
23097 23097
146157 146157
118098 118098
11530 11530
42300 42300
74535 74535
17...

output:

281954.586357449
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.783542431
282849.7835...

result:

ok 200000 numbers

Test #17:

score: 0
Accepted
time: 100ms
memory: 8240kb

input:

200000 1000000000
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
227478108 704821317
22...

output:

1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.02764
0
1318470491.0276...

result:

ok 200000 numbers

Test #18:

score: 0
Accepted
time: 142ms
memory: 8188kb

input:

200000 1000000000
517510913 200230004
39507125 601409920
30526823 972694998
176712 534697072
789676092 648567171
967127462 822743807
176712 534697072
176712 534697072
117560602 867751869
967127462 822743807
227002346 310628813
789676092 648567171
800983841 618498638
39507125 601409920
517510913 2002...

output:

566335974.501638
1015038939.0915
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562....

result:

ok 200000 numbers

Test #19:

score: 0
Accepted
time: 159ms
memory: 8220kb

input:

200000 1000000000
351451808 649636951
49985291 500589827
661773922 164694264
186065541 226295124
497991267 744030929
574182692 439989249
853617452 979655888
308109763 216029731
66584658 40643821
855305206 820425533
740812379 441059394
151159173 495945962
214589103 777995590
957581330 407536966
88513...

output:

1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3731
1414213562.3...

result:

ok 200000 numbers

Test #20:

score: 0
Accepted
time: 120ms
memory: 8148kb

input:

200000 1000000000
821475126 617812186
464369722 134670005
821475126 617812186
464369722 134670005
464369722 134670005
821475126 617812186
464369722 134670005
464369722 134670005
464369722 134670005
464369722 134670005
821475126 617812186
464369722 134670005
464369722 134670005
464369722 134670005
46...

output:

1126190670.47232
1126190670.47232
380904295.031705
0
380904295.031705
1126190670.47232
1126190670.47232
1126190670.47232
1126190670.47232
1126190670.47232
380904295.031705
0
380904295.031705
0
380904295.031705
1126190670.47232
380904295.031705
0
380904295.031705
0
380904295.031705
1126190670.47232
3...

result:

ok 200000 numbers

Test #21:

score: 0
Accepted
time: 134ms
memory: 8228kb

input:

200000 11
1 1
2 1
3 1
4 1
5 1
6 1
7 1
8 1
9 1
10 1
8 1
10 10
3 1
1 2
9 10
1 4
5 1
1 5
1 6
7 7
2 1
4 1
5 3
7 9
6 4
3 7
6 1
1 8
2 5
2 9
10 9
6 10
9 8
1 2
7 3
6 6
6 6
7 5
1 9
7 9
3 5
9 5
3 3
6 8
10 9
7 5
5 1
2 1
3 2
5 5
8 1
4 9
9 8
1 3
4 8
8 9
2 10
1 4
7 3
4 1
1 2
1 2
5 1
5 4
1 3
2 1
6 2
6 8
5 9
10 7
5...

output:

2.82842712474619
4.24264068711929
5.65685424949238
7.07106781186548
8.48528137423857
9.89949493661167
11.3137084989848
12.7279220613579
14.142135623731
15.556349186104
15.556349186104
15.556349186104
15.556349186104
15.556349186104
15.556349186104
15.556349186104
15.556349186104
15.556349186104
15.5...

result:

ok 200000 numbers

Test #22:

score: 0
Accepted
time: 83ms
memory: 8244kb

input:

200000 4
1 1
2 1
3 1
1 1
3 2
3 3
2 1
3 3
2 1
2 2
2 2
3 1
2 2
3 3
1 2
2 3
1 2
2 1
2 2
1 2
3 1
2 2
2 1
2 1
3 3
2 2
1 2
1 3
2 1
3 3
2 3
3 1
2 1
1 2
1 3
3 1
2 3
2 1
1 2
3 3
1 3
3 3
2 3
2 3
2 1
3 1
3 3
1 2
2 1
2 1
1 1
1 3
1 1
1 1
2 3
2 2
1 2
1 1
1 3
1 1
1 2
1 1
2 3
1 1
2 2
2 2
2 1
2 1
3 2
1 1
3 1
1 2
1 1...

output:

2.82842712474619
4.24264068711929
5.65685424949238
4.24264068711929
4.24264068711929
5.65685424949238
5.65685424949238
4.24264068711929
4.24264068711929
5.65685424949238
4.24264068711929
4.24264068711929
5.65685424949238
5.65685424949238
5.65685424949238
5.65685424949238
5.65685424949238
5.656854249...

result:

ok 200000 numbers

Test #23:

score: 0
Accepted
time: 170ms
memory: 8176kb

input:

200000 51
1 1
2 1
3 1
4 1
5 1
6 1
7 1
8 1
9 1
10 1
11 1
12 1
13 1
14 1
15 1
16 1
17 1
18 1
19 1
20 1
21 1
22 1
23 1
24 1
25 1
26 1
27 1
28 1
29 1
30 1
31 1
32 1
33 1
34 1
35 1
36 1
37 1
38 1
39 1
40 1
41 1
42 1
43 1
44 1
45 1
46 1
47 1
48 1
49 1
50 1
2 47
25 41
44 8
35 38
37 24
42 32
40 48
19 4
26 4...

output:

2.82842712474619
4.24264068711929
5.65685424949238
7.07106781186548
8.48528137423857
9.89949493661167
11.3137084989848
12.7279220613579
14.142135623731
15.556349186104
16.9705627484771
18.3847763108502
19.7989898732233
21.2132034355964
22.6274169979695
24.0416305603426
25.4558441227157
26.8700576850...

result:

ok 200000 numbers