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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#108383 | #5433. Absolute Difference | Fanch100 | WA | 2ms | 3836kb | C++14 | 3.5kb | 2023-05-24 21:10:10 | 2023-05-24 21:10:11 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int N = 100010;
const double eps = 1e-12;
int n, m;
struct node{
double l,r;
double mid;
bool operator < (const node &rhs){return l<rhs.l;}
}a[N], b[N];
double suma, sumb;
double calc(double l1,double r1,double l2,double r2){
if (l1>l2 || (l1==l2 && r1>r2)) swap(l1,l2), swap(r1,r2);
// printf("lr=%d %d %d %d\n",l1,r1,l2,r2);
double tmp1=0, tmp2=0, tmp3=0;
if (r2!=l2) tmp1=1.0*(r2-r1)/(r2-l2)*(1.0*(r1+r2)/2-1.0*(r1+l1)/2);
if (r2!=l2 && l2!=l1) tmp2=1.0*(r1-l2)/(r2-l2)*(l2-l1)/(r1-l1)*(1.0*(r1+l2)/2-1.0*(l1+l2)/2);
if (r1!=l1 && r2!=l2) tmp3=1.0/3*(r1-l2)*(r1-l2)*(r1-l2)/(r1-l1)/(r2-l2);
// printf("c1 %.10lf %.10lf %.10lf\n",tmp1,tmp2,tmp3);
return tmp1+tmp2+tmp3;
}
double calc2(double l1,double r1,double l2,double r2){
if (l1>l2 || (l1==l2 && r1<r2)) swap(l1,l2), swap(r1,r2);
// printf("lr=%d %d %d %d\n",l1,r1,l2,r2);
double tmp1=0, tmp2=0, tmp3=0;
if (r1!=l1) {
tmp1=1.0*(r2-l2)/(r1-l1)/3*(r2-l2);
tmp2=1.0*(l2-l1)/(r1-l1)*(1.0*(l2+r2)/2-1.0*(l1+l2)/2);
tmp3=1.0*(r1-r2)/(r1-l1)*(1.0*(r1+r2)/2-1.0*(l2+r2)/2);
}
// printf("c2 %.10lf %.10lf %.10lf\n",tmp1,tmp2,tmp3);
return tmp1+tmp2+tmp3;
}
double pre[N], suf[N];
double pres[N], sufs[N];
bool conc(double l1,double r1,double l2,double r2){
return (l1<=l2 && r2<=r1) || (l2<=l1 && r1<=r2);
}
bool inter(double l1,double r1,double l2,double r2){
return (l2<=r1 && l1<=r2);
}
int main(){
cin>>n>>m;
for (int i=1;i<=n;++i) cin>>a[i].l>>a[i].r, a[i].r+=eps, a[i].mid=1.0*(a[i].l+a[i].r)/2, suma+=a[i].r-a[i].l;
for (int i=1;i<=m;++i) cin>>b[i].l>>b[i].r, b[i].r+=eps, b[i].mid=1.0*(b[i].l+b[i].r)/2, sumb+=b[i].r-b[i].l;
// printf("%.10lf\n",calc(a[1].l,a[1].r,b[1].l,b[1].r));
// printf("%.10lf\n",calc2(a[1].l,a[1].r,b[1].l,b[1].r));
sort(a+1,a+1+n); sort(b+1,b+1+m);
if (a[1].l>b[1].l){
for (int i=1;i<=max(n,m);++i) swap(a[i],b[i]);
swap(n,m); swap(suma,sumb);
}
for (int i=1;i<=m;++i) pre[i]=pre[i-1]+1.0*(b[i].r-b[i].l)/sumb*b[i].mid, pres[i]=pres[i-1]+(b[i].r-b[i].l)/sumb;
for (int i=m;i>=1;--i) suf[i]=suf[i+1]+1.0*(b[i].r-b[i].l)/sumb*b[i].mid, sufs[i]=sufs[i+1]+(b[i].r-b[i].l)/sumb;
double ans=0;
for (int i=1,L=1,R=1;i<=n;++i){
double p1=1.0*(a[i].r-a[i].l)/suma;
while(L<=m && b[L].r<a[i].l) ++L; R=L;
// printf("i=%d L=%d R=%d\n",i,L,R);
if (L<=m && inter(a[i].l,a[i].r,b[L].l,b[L].r)){
R=L;
while(R<=m && inter(a[i].l,a[i].r,b[R].l,b[R].r)) ++R;
R--;
for (int j=L;j<=R;++j){
double p2=1.0*(b[j].r-b[j].l)/sumb;
// printf("i=%d j=%d p1=%.10lf p2=%.10lf\n",i,j,p1,p2);
if (conc(a[i].l,a[i].r,b[j].l,b[j].r)) ans+=p1*p2*calc2(a[i].l,a[i].r,b[j].l,b[j].r);
else ans+=p1*p2*calc(a[i].l,a[i].r,b[j].l,b[j].r);
}
ans+=p1*((a[i].mid*pres[L-1]-pre[L-1])+(suf[R+1]-a[i].mid*sufs[R+1]));
L=R;
}
else {
// printf("L=%d suf=%.10lf\n",L,suf[L]-a[i].mid*(m+1-L));
ans+=p1*((a[i].mid*pres[L-1]-pre[L-1])+(suf[L]-a[i].mid*sufs[L]));
}
// printf("i=%d L=%d R=%d\n",i,L,R);
}
printf("%.10lf\n",ans);
return 0;
}
/*
1 2
1 2
3 4
5 6
1 1
1 4
2 5
1 1
2 3
1 4
^Z
0.777777777778
2 2
1 2
3 4
1 5
6 7
1.333333333333
1 1
1 2
1 5
^Z
1.583333333333
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3836kb
input:
1 1 0 1 0 1
output:
0.3333333333
result:
ok found '0.333333333', expected '0.333333333', error '0.000000000'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3704kb
input:
1 1 0 1 1 1
output:
0.5000000000
result:
ok found '0.500000000', expected '0.500000000', error '0.000000000'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3832kb
input:
1 1 -1000000000 1000000000 -1000000000 1000000000
output:
666666666.6666666269
result:
ok found '666666666.666666627', expected '666666666.666666627', error '0.000000000'
Test #4:
score: 0
Accepted
time: 2ms
memory: 3824kb
input:
1 1 -1000000000 0 0 1000000000
output:
1000000000.0000000000
result:
ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'
Test #5:
score: -100
Wrong Answer
time: 2ms
memory: 3772kb
input:
1 1 -1000000000 -1000000000 -1000000000 1000000000
output:
-nan
result:
wrong output format Expected double, but "-nan" found