QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#153671 | #5433. Absolute Difference | value0 | WA | 2ms | 4236kb | C++20 | 5.7kb | 2023-08-30 18:17:17 | 2023-08-30 18:17:17 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define double ld
ll n,m;
ld s = 0;
const ld eps = 1e-9;
struct edge
{
ld l,r,len;
bool operator < (edge t)
{
if(t.l != l)
{
return l < t.l;
}
return r < t.r;
}
};
void solve()
{
cin>>n>>m;
vector<edge> a(n + 1),b(m + 1);
vector<ld> a1(n + 1),a2(n + 1),b1(m + 1),b2(m + 1),la(n + 1),lb(m + 1);
for(int i = 1;i<=n;i++)
{
scanf("%Lf %Lf",&a[i].l,&a[i].r);
a[i].len = a[i].r - a[i].l;
// cout<<a[i].len<<endl;
}
for(int i = 1;i<=m;i++)
{
scanf("%Lf %Lf",&b[i].l,&b[i].r);
b[i].len = b[i].r - b[i].l;
}
sort(a.begin() + 1,a.end());
sort(b.begin() + 1,b.end());
for(int i = 1;i<=n;i++)
{
a1[i] = a1[i-1] + a[i].r - a[i].l;
a2[i] = a2[i-1] + a[i].r * a[i].r - a[i].l * a[i].l;
la[i] = la[i-1] + a[i].len;
}
for(int i = 1;i<=m;i++)
{
b1[i] = b1[i-1] + b[i].r - b[i].l;
b2[i] = b2[i-1] + (b[i].r * b[i].r - b[i].l * b[i].l);
lb[i] = lb[i-1] + b[i].len;
}
// cout<<la[n]<<' '<<lb[m]<<endl;
s = la[n] * lb[m];
// cout<<la[n]<<endl;
ld ans = 0;
if(la[n] == 0 || lb[m] == 0)
{
if(la[n] == 0 && lb[n] == 0)
{
for(int i = 1;i<=m;i++)
{
lb[i] = lb[i-1] + b[i].l;
}
for(int i = 1;i<=n;i++)
{
ans += abs(a[i].l - lb[m]);
}
s = n * m;
printf("%.12Lf",ans / s);
return;
}
else if(la[n] == 0)
{
for(int i= 1;i<=n;i++)
{
ld c = a[i].l;
ll l = 0;
ll r = m + 1;
while(l + 1 < r)
{
ll mid = l + r >> 1;
if(b[mid].r <= c)
{
l = mid;
}
else
{
r = mid;
}
}
// cout<<l<<endl;
ans += c * (b1[l]) - (ld)1.0 / 2 * (b2[l]);
// cout<<ans<<endl;
ll st = l + 1;
l = 0;
r = m + 1;
while(l + 1 < r)
{
ll mid = l + r >> 1;
if(b[mid].l >= c)
{
r = mid;
}
else
{
l = mid;
}
}
ans -= c * (b1[m] - b1[r - 1]) - (ld)1.0 / 2 * (b2[m] - b2[r-1]);
// cout<<ans<<endl;
while(st < r && st <= m)
{
ld a = b[st].l;
ld d = b[st].r;
ans += c * c - c * (a + d) + (ld)1.0 / 2 * (a * a + d * d);
st ++;
}
}
s = n * lb[m];
printf("%.12Lf",ans / s);
return ;
}
else
{
for(int i= 1;i<=m;i++)
{
ld c = b[i].l;
ll l = 0;
ll r = n + 1;
while(l + 1 < r)
{
ll mid = l + r >> 1;
if(a[mid].r <= c)
{
l = mid;
}
else
{
r = mid;
}
}
// cout<<l<<endl;
ans += c * (a1[l]) - (ld)1.0 / 2 * (a2[l]);
// cout<<ans<<endl;
ll st = l + 1;
l = 0;
r = n + 1;
while(l + 1 < r)
{
ll mid = l + r >> 1;
if(a[mid].l >= c)
{
r = mid;
}
else
{
l = mid;
}
}
ans -= c * (a1[n] - a1[r - 1]) - (ld)1.0 / 2 * (a2[n] - a2[r-1]);
// cout<<ans<<endl;
while(st < r && st <= n)
{
ld t = a[st].l;
ld d = a[st].r;
ans += c * c - c * (t + d) + (ld)1.0 / 2 * (t * t + d * d);
st ++;
}
}
// cout<<ans<<endl;
s = m * la[n];
// cout<<s<<endl;
printf("%.12Lf",ans / s);
return ;
}
}
auto calc = [&](edge tb,edge ta)
{
ld res = 0;
// cout<<ta.l<<' '<<ta.r<<endl;
// cout<<tb.l<<' '<<tb.r<<endl<<endl;
res = ((ld)1.0 / 2 * (ta.r * ta.r - ta.l * ta.l) * (tb.r - tb.l) - (1.0 / 2 * (ta.r - ta.l) * (tb.r * tb.r - tb.l * tb.l)));
return res;
};
// auto calc1 = [&](ld x,ld a,ld b)
// {
// ld res = 0;
//// cout<<ta.l<<' '<<ta.r<<endl;
//// cout<<tb.l<<' '<<tb.r<<endl<<endl;
// res = x * x - x * a - x * b + 1.0 / 2 * a * a + 1.0 / 2 * b * b;
// return res;
//
// };
// edge s1,s2;
// s1.l = 1;
// s1.r = 3;
// s2.l = 0;
// s2.r = 1;
// cout<<calc(s2,s1) / 2<<endl;
// double res = 0;
for(int i = 1;i<=n;i++)
{
// ans = 0;
ll l = 0;
ll r = m + 1;
while(l + 1 < r)
{
ll mid = l + r >> 1;
if(b[mid].r <= a[i].l)
{
// cout<<b[mid].r<<' '<<a[i].l<<endl;
l = mid;
}
else
{
r = mid;
}
}
ans += ((ld)1.0 / 2 * ((a2[i] - a2[i-1]) * b1[l]) - 1.0 / 2 * ((a1[i] - a1[i-1]) * b2[l]));
ll st = l + 1;
// cout<<st<<endl;
// cout<<l<<endl;
l = 0;
r = m + 1;
while(l + 1 < r)
{
ll mid = l + r >> 1;
if(b[mid].l >= a[i].r)
{
r = mid;
}
else
{
l = mid;
}
}
// cout<<r<<endl;
// cout<<b2[m] - b2[r - 1]<<endl;
// cout<<(1.0 / 2 * ((a2[i] - a2[i-1]) * (b1[m] - b1[r-1])) - 1.0 / 2 * ((a1[i] - a1[i-1]) * (b2[m] - b2[r - 1])))<<endl;
// cout<<ans<<endl;
ans -= ((ld)1.0 / 2 * ((a2[i] - a2[i-1]) * (b1[m] - b1[r-1])) - 1.0 / 2 * ((a1[i] - a1[i-1]) * (b2[m] - b2[r - 1]))) ;
// cout<<st<<endl;
while(st < r && st <= m && b[st].l < a[i].r)
{
// cout<<1<<endl;
edge ta,tb,tc;
ta.l = min(a[i].l,b[st].l);
ta.r = max(a[i].l,b[st].l);
tb.l = ta.r;
tb.r = min(a[i].r,b[st].r);
tc.l = tb.r;
tc.r = max(a[i].r,b[st].r);
// cout<<ta.l<<' '<<ta.r<<endl;
// cout<<tb.l<<' '<<tb.r<<endl;
// cout<<tc.l<<' '<<tc.r<<endl;
if(ta.l != tb.l)
{
ans += calc(ta,tb);
}
if(tb.r != tc.r)
{
ans += calc(tb,tc);
}
if(ta.l != tb.l && tb.r != tc.r)
{
if((ta.l == a[i].l && tc.r == b[st].r) || (ta.l == b[st].l && tc.r == a[i].r))
{
ans += calc(ta,tc);
}
}
// cout<<ans<<endl;
// cout<<tb.l<<' '<<tb.r<<' '<<s<<endl;
ans += 2 * (((ld)1.0 / 6 * (pow(tb.r,3) - pow(tb.l,3))) - (1.0 / 2 * tb.l *pow(tb.r,2)) + (1.0 / 2 * pow(tb.l,2) * tb.r));
st ++;
}
// res += ans /(a[i].len ** la[n];
}
// cout<<ans<<endl;
printf("%.12Lf",ans / s);
}
int main()
{
int t = 1;
while(t--)
{
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3764kb
input:
1 1 0 1 0 1
output:
0.333333333333
result:
ok found '0.333333333', expected '0.333333333', error '0.000000000'
Test #2:
score: 0
Accepted
time: 2ms
memory: 4052kb
input:
1 1 0 1 1 1
output:
0.500000000000
result:
ok found '0.500000000', expected '0.500000000', error '0.000000000'
Test #3:
score: 0
Accepted
time: 2ms
memory: 4056kb
input:
1 1 -1000000000 1000000000 -1000000000 1000000000
output:
666666666.666666666686
result:
ok found '666666666.666666627', expected '666666666.666666627', error '0.000000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 4004kb
input:
1 1 -1000000000 0 0 1000000000
output:
1000000000.000000000000
result:
ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 4004kb
input:
1 1 -1000000000 -1000000000 -1000000000 1000000000
output:
1000000000.000000000000
result:
ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3796kb
input:
1 1 -999999999 1000000000 -1000000000 -1000000000
output:
1000000000.500000000000
result:
ok found '1000000000.500000000', expected '1000000000.500000000', error '0.000000000'
Test #7:
score: 0
Accepted
time: 1ms
memory: 4056kb
input:
1 1 -1000000000 1000000000 -999999999 -999999999
output:
999999999.000000000524
result:
ok found '999999999.000000000', expected '999999999.000000000', error '0.000000000'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
1 1 1000000000 1000000000 -1000000000 -1000000000
output:
2000000000.000000000000
result:
ok found '2000000000.000000000', expected '2000000000.000000000', error '0.000000000'
Test #9:
score: 0
Accepted
time: 2ms
memory: 4124kb
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:
6717.117145739454
result:
ok found '6717.117145739', expected '6717.117145739', error '0.000000000'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3912kb
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:
6682.581127471436
result:
ok found '6682.581127471', expected '6682.581127471', error '0.000000000'
Test #11:
score: 0
Accepted
time: 2ms
memory: 4236kb
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:
6673.756816891039
result:
ok found '6673.756816891', expected '6673.756816891', error '0.000000000'
Test #12:
score: -100
Wrong Answer
time: 1ms
memory: 3984kb
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:
209.983763000000
result:
wrong answer 1st numbers differ - expected: '6479.3846800', found: '209.9837630', error = '0.9675920'