QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#817971 | #5433. Absolute Difference | ohiostatescarlet | WA | 2ms | 4076kb | C++17 | 3.7kb | 2024-12-17 15:18:39 | 2024-12-17 15:18:40 |
Judging History
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'