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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#817971#5433. Absolute DifferenceohiostatescarletWA 2ms4076kbC++173.7kb2024-12-17 15:18:392024-12-17 15:18:40

Judging History

This is the latest submission verdict.

  • [2024-12-17 15:18:40]
  • Judged
  • Verdict: WA
  • Time: 2ms
  • Memory: 4076kb
  • [2024-12-17 15:18:39]
  • Submitted

answer

#include<bits/stdc++.h>
using namespace std;
#define UL unsigned long long
#define L long long
#define COUT cout <<
#define END << "\n";
#define D long double

class I {
  public:
  vector<pair<L, L>> ranges;
  vector<L> points;
  vector<D> propSuffix;
  L area = 0;
  I(int n) {
    for (int i = 0; i < n; i++) {
      L l, r;
      cin >> l >> r;
      if (l == r) {
        points.push_back(l);
      } else {
        ranges.push_back({l, r});
      }
    }
    if (ranges.size()) {
      sort(ranges.begin(), ranges.end());
      for (auto [l, r] : ranges) {
        area += r - l;
      }
      propSuffix.assign(ranges.size(), 0);
      for (int i = 0; i < ranges.size(); i++) {
        auto [l, r] = ranges[i];
        propSuffix[i] = (r - l) / (D) area;
      }
    } else {
      sort(points.begin(), points.end());
      area = points.size();
      propSuffix.assign(points.size(), 1 / (D) area);
      for (int i = points.size()-2; i >= 0; i--) {
        propSuffix[i] += propSuffix[i+1];
      }
    }
  }
  bool discrete() {
    return !ranges.size();
  }
  bool good(int idx) {
    return ranges.size() ? idx < ranges.size() : idx < points.size();
  }
  L high(int idx) {
    return ranges.size() ? ranges[idx].second : points[idx];
  }
  L low(int idx) {
    return ranges.size() ? ranges[idx].first : points[idx];
  }
  D prop(int l, int r) {
    return ranges.size() ? (r - l) / (D) area : 1 / (D) area;
  }
};

int main() {
  ios_base::sync_with_stdio(0); cin.tie(0);
  int n, m;
  cin >> n >> m;
  I a(n), b(m);
  D res = 0;
  for (int w = 0; w < 2; w++) {
    int ai = 0, bi = 0;
    L lowA = -1e9-1, lowB = -1e9-1;
    D passedProb = 0;
    while (a.good(ai) && b.good(bi)) {
      if (lowA == a.high(ai)) {
        ai++;
        continue;
      }
      if (lowB == b.high(bi)) {
        bi++;
        continue;
      }
      L leftA = max(lowA, a.low(ai));
      L leftB = max(lowB, b.low(bi));
      if (leftA < leftB) {
        L cut = min(a.high(ai), leftB);
        if (a.discrete()) {
          // Discrete
          res += leftA * (2*passedProb-1) / a.area;
        } else {
          // Continuous
          res += (cut * cut - leftA * leftA) * (2*passedProb-1) / 2 / a.area;
        }
        lowA = cut;
      } else if (leftA > leftB) {
        L cut = min(b.high(bi), leftA);
        passedProb += b.prop(leftB, cut);
        lowB = cut;
      } else if (a.discrete()) {
        if (b.discrete()) {
          res += leftA * a.prop(leftA, leftA) * (2*passedProb-1+b.prop(leftB, leftB));
          passedProb += b.prop(leftB, leftB);
          ai++;
          bi++;
        } else {
          res += leftA * a.prop(leftA, leftA) * (2*passedProb-1);
          ai++;
        }
      } else {
        if (b.discrete()) {
          passedProb += b.prop(leftB, leftB);
          bi++;
        } else {
          int cut = min(a.high(ai), b.high(bi));
          res += (cut * cut - leftA * leftA) * (2*passedProb-1+b.prop(leftB, cut)) / 2 / a.area;
          res += ((cut * (D) cut + leftA * (D) leftA) * (cut - leftA) / 2 - (cut * (D) cut * cut - leftA * (D) leftA * leftA) / 3) / a.area / b.area;
          passedProb += b.prop(leftB, cut);
          lowA = lowB = cut;
        }
      }
    }
    if (a.good(ai) && lowA == a.high(ai)) {
      ai++;
    }
    while (a.good(ai)) {
      L leftA = max(a.low(ai), lowA), rightA = a.high(ai);
      if (a.discrete()) {
        res += leftA / (D) a.area;
      } else {
        res += (rightA * rightA - leftA * leftA) / (D) 2 / a.area; 
      }
      ai++;
    }
    swap(a, b);
  }
  COUT setprecision(100) << res END
}

/*

1 1
-1 0
-1 0


int x(2*(c+d(x-l)) - 1)
int x(2c-2dl-1) + int 2dxx


*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3796kb

input:

1 1
0 1
0 1

output:

0.3333333333333333333152632971252415927665424533188343048095703125

result:

ok found '0.333333333', expected '0.333333333', error '0.000000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

1 1
0 1
1 1

output:

0.5

result:

ok found '0.500000000', expected '0.500000000', error '0.000000000'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

1 1
-1000000000 1000000000
-1000000000 1000000000

output:

666666666.666666666627861559391021728515625

result:

ok found '666666666.666666627', expected '666666666.666666627', error '0.000000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

1 1
-1000000000 0
0 1000000000

output:

1000000000

result:

ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

1 1
-1000000000 -1000000000
-1000000000 1000000000

output:

1000000000

result:

ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'

Test #6:

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

input:

1 1
-999999999 1000000000
-1000000000 -1000000000

output:

1000000000.5

result:

ok found '1000000000.500000000', expected '1000000000.500000000', error '0.000000000'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

1 1
-1000000000 1000000000
-999999999 -999999999

output:

999999999.0000000004656612873077392578125

result:

ok found '999999999.000000000', expected '999999999.000000000', error '0.000000000'

Test #8:

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

input:

1 1
1000000000 1000000000
-1000000000 -1000000000

output:

2000000000

result:

ok found '2000000000.000000000', expected '2000000000.000000000', error '0.000000000'

Test #9:

score: 0
Accepted
time: 1ms
memory: 4076kb

input:

1000 1000
-2175 -2174
-1068 -1065
-1721 -1718
777 834
1162 1169
-3529 -3524
3966 3993
1934 1952
-234 -223
-4967 -4947
8500 8510
5272 5276
-6048 -6033
-34 -22
700 705
-7890 -7886
5538 5543
4114 4126
-9201 -9162
-1521 -1519
-5103 -5100
439 441
993 997
-1684 -1680
-8413 -8404
6724 6728
-3242 -3239
2616...

output:

6717.117145739453756281278629103326238691806793212890625

result:

ok found '6717.117145739', expected '6717.117145739', error '0.000000000'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3956kb

input:

1000 1000
-5010 -4999
-2128 -2113
-5798 -5765
705 713
-3956 -3938
-5308 -5307
6759 6772
-772 -770
-860 -859
2308 2323
-5500 -5500
5140 5177
-6747 -6733
7509 7511
8864 8870
-6382 -6374
1901 1904
-5763 -5760
3019 3027
2962 2963
-314 -301
-222 -203
-726 -724
-62 -58
-1203 -1195
-5216 -5215
-4298 -4292
...

output:

6682.581127471435683329303856226033531129360198974609375

result:

ok found '6682.581127471', expected '6682.581127471', error '0.000000000'

Test #11:

score: 0
Accepted
time: 0ms
memory: 4064kb

input:

1000 1000
770 770
5869 5869
-8786 -8786
7549 7549
-4165 -4165
4023 4023
-9779 -9779
7797 7797
1105 1105
508 508
7653 7653
-359 -359
9393 9393
-9363 -9363
-4160 -4160
-3682 -3682
9409 9409
-8548 -8548
-9908 -9908
-7494 -7494
3751 3751
2326 2326
-3311 -3311
3651 3651
-7663 -7663
5376 5376
-7071 -7071
...

output:

6673.756816891039138628372029415913857519626617431640625

result:

ok found '6673.756816891', expected '6673.756816891', error '0.000000000'

Test #12:

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

input:

1000 1000
-735 -735
-829 -829
-6376 -6376
8558 8558
155 155
5533 5533
8800 8800
-1738 -1738
919 919
52 52
2076 2076
-6911 -6911
139 139
6733 6733
9923 9923
-4619 -4619
-9429 -9429
9902 9902
-5984 -5984
2580 2580
8738 8738
7960 7960
3388 3388
-2689 -2689
7986 7986
2565 2565
-8908 -8908
9359 9359
-434...

output:

6479.38468000000005542204917219351045787334442138671875

result:

ok found '6479.384680000', expected '6479.384680000', error '0.000000000'

Test #13:

score: -100
Wrong Answer
time: 2ms
memory: 3992kb

input:

100 10000
82274 82408
61583 61902
-54304 -54007
-48488 -48316
-92517 -91939
85001 85160
33086 33374
36458 36573
-15785 -11838
93971 94863
50496 53064
-68609 -68302
-91873 -91176
-96937 -96753
9481 9976
83600 83691
17742 18693
55685 56039
56323 57845
88761 90277
22886 23642
30848 31047
-34662 -33470
...

output:

7918437.53451230349628531257621943950653076171875

result:

wrong answer 1st numbers differ - expected: '65016.2986348', found: '7918437.5345123', error = '120.7915769'