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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#102782 | #5433. Absolute Difference | retcarizy# | WA | 14ms | 5832kb | C++14 | 3.9kb | 2023-05-03 17:40:52 | 2023-05-03 17:40:59 |
Judging History
answer
#include<bits/stdc++.h>
#define double long double
using namespace std;
const double eps = 1e-9;
int n, m, N, M, numa, numb;
pair<int, int> a[100005], b[100005], A[100005], B[100005];
double ans;
int lena, lenb;
double p3(double x){
return x * x * x;
}
double p2(double x){
return x * x;
}
int main(){
scanf("%d%d", &n, &m);
for (int i = 1; i <= n; i++)
scanf("%d%d", &a[i].first, &a[i].second);
for (int i = 1; i <= m; i++)
scanf("%d%d", &b[i].first, &b[i].second);
sort(a + 1, a + 1 + n);
sort(b + 1, b + 1 + m);
A[N = 1] = a[1];
for (int i = 2; i <= n; i++)
if (a[i].first <= A[N].second)
A[N].second = max(A[N].second, a[i].second);
else
A[++N] = a[i];
B[M = 1] = b[1];
for (int i = 2; i <= m; i++)
if (b[i].first <= B[M].second)
B[M].second = max(B[M].second, b[i].second);
else
B[++M] = b[i];
for (int i = 1; i <= N; i++){
lena += A[i].second - A[i].first;
numa++;
}
for (int i = 1; i <= M; i++){
lenb += B[i].second - B[i].first;
numb++;
}
int k;
double mid=0, len=0;
len = 0;
k = 1;
for (int i = 1; i <= N; i++){
while (k <= M && B[k].second < A[i].first){
if (lenb > eps){
mid = (mid * len + 0.5 * (B[k].second + B[k].first) * (B[k].second - B[k].first)) / (len + B[k].second - B[k].first);
len += B[k].second - B[k].first;
}
else{
mid = (mid * len + 0.5 * (B[k].second + B[k].first) * 1) / (len + 1);
len += 1;
}
k++;
}
if (lena > eps && lenb > eps)
ans += (0.5 * (A[i].first + A[i].second) - mid) * (A[i].second - A[i].first) / lena * len / lenb;
else{
if (lena > eps)
ans += (0.5 * (A[i].first + A[i].second) - mid) * (A[i].second - A[i].first) / lena * len / numb;
else
if (lenb > eps)
ans += (0.5 * (A[i].first + A[i].second) - mid) * 1 / numa * len / lenb;
else
ans += (0.5 * (A[i].first + A[i].second) - mid) * 1 / numa * len / numb;
}
for (int j=k;B[j].first<=A[i].second&&j<=M;j++)
if (lena>eps&&lenb>eps){
int l1=max(A[i].first,B[j].first);
int r1=min(A[i].second,B[j].second);
if (B[j].first<=A[i].first) ans+=(0.5*(A[i].first+A[i].second)-0.5*(B[j].first+l1))*(A[i].second-A[i].first)/lena*(l1-B[j].first)/lenb;
if (B[j].second>=A[i].second) ans+=(0.5*(r1+B[j].second)-0.5*(A[i].first+A[i].second))*(A[i].second-A[i].first)/lena*(B[j].second-r1)/lenb;
if (B[j].second<A[i].second) ans+=(0.5*(r1+A[i].second)-0.5*(l1+r1))*(A[i].second-r1)/lena*(r1-l1)/lenb;
if (B[j].first>A[i].first) ans+=(0.5*(l1+r1)-0.5*(A[i].first+l1))*(l1-A[i].first)/lena*(r1-l1)/lenb;
ans+=(1.0*(p3(r1)-p3(l1))/3-1.0*l1*(p2(r1)-p2(l1))+1.0*l1*l1*(r1-l1))/lena/lenb;
}else if (lena>eps){
ans+=(1.0*B[j].first-0.5*(B[j].first+A[i].first))/numb*(B[j].first-A[i].first)/lena;
ans+=(0.5*(B[j].first+A[i].second)-1.0*B[j].first)/numb*(A[i].second-B[j].first)/lena;
}else if (lenb>eps){
ans+=(1.0*A[i].first-0.5*(B[j].first+A[i].first))/numa*(A[i].first-B[j].first)/lenb;
ans+=(0.5*(B[j].second+A[i].second)-1.0*A[i].first)/numa*(B[j].second-A[i].first)/lenb;
}
}
len = 0;
k = M;
for (int i = N; i >= 1; i--){
while (k >= 1 && B[k].first > A[i].second){
if (lenb > eps){
mid = (mid * len + 0.5 * (B[k].second + B[k].first) * (B[k].second - B[k].first)) / (len + B[k].second - B[k].first);
len += B[k].second - B[k].first;
}
else{
mid = (mid * len + 0.5 * (B[k].second + B[k].first) * 1) / (len + 1);
len += 1;
}
k--;
}
if (lena > eps && lenb > eps)
ans += (mid - 0.5 * (A[i].first + A[i].second)) * (A[i].second - A[i].first) / lena * len / lenb;
else
if (lena > eps)
ans += (mid - 0.5 * (A[i].first + A[i].second)) * (A[i].second - A[i].first) / lena * len / numb;
else
if (lenb > eps)
ans += (mid - 0.5 * (A[i].first + A[i].second)) * 1 / numa * len / lenb;
else
ans += (mid - 0.5 * (A[i].first + A[i].second)) * 1 / numa * len / numb;
}
printf("%.15Lf\n", ans);
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 3ms
memory: 5764kb
input:
1 1 0 1 0 1
output:
0.333333333333333
result:
ok found '0.333333333', expected '0.333333333', error '0.000000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
1 1 0 1 1 1
output:
0.500000000000000
result:
ok found '0.500000000', expected '0.500000000', error '0.000000000'
Test #3:
score: 0
Accepted
time: 2ms
memory: 5656kb
input:
1 1 -1000000000 1000000000 -1000000000 1000000000
output:
666666666.666666673321743
result:
ok found '666666666.666666627', expected '666666666.666666627', error '0.000000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 5752kb
input:
1 1 -1000000000 0 0 1000000000
output:
1000000000.000000000000000
result:
ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'
Test #5:
score: 0
Accepted
time: 2ms
memory: 5576kb
input:
1 1 -1000000000 -1000000000 -1000000000 1000000000
output:
1000000000.000000119209290
result:
ok found '1000000000.000000119', expected '1000000000.000000000', error '0.000000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
1 1 -999999999 1000000000 -1000000000 -1000000000
output:
1000000000.500000000000000
result:
ok found '1000000000.500000000', expected '1000000000.500000000', error '0.000000000'
Test #7:
score: 0
Accepted
time: 1ms
memory: 5540kb
input:
1 1 -1000000000 1000000000 -999999999 -999999999
output:
999999999.000000119442120
result:
ok found '999999999.000000119', expected '999999999.000000000', error '0.000000000'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3552kb
input:
1 1 1000000000 1000000000 -1000000000 -1000000000
output:
2000000000.000000000000000
result:
ok found '2000000000.000000000', expected '2000000000.000000000', error '0.000000000'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3580kb
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:
6717.117145739453729
result:
ok found '6717.117145739', expected '6717.117145739', error '0.000000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 5580kb
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:
6682.581127471435665
result:
ok found '6682.581127471', expected '6682.581127471', error '0.000000000'
Test #11:
score: 0
Accepted
time: 3ms
memory: 5832kb
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:
6673.756816891039128
result:
ok found '6673.756816891', expected '6673.756816891', error '0.000000000'
Test #12:
score: 0
Accepted
time: 3ms
memory: 5640kb
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:
6479.384680000000001
result:
ok found '6479.384680000', expected '6479.384680000', error '0.000000000'
Test #13:
score: -100
Wrong Answer
time: 14ms
memory: 5816kb
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:
-nan
result:
wrong output format Expected double, but "-nan" found