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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 |
---|---|---|---|---|---|---|---|---|---|
#153667 | #5433. Absolute Difference | value0 | WA | 1ms | 3888kb | C++20 | 5.9kb | 2023-08-30 18:08:39 | 2023-08-30 18:08:39 |
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 * (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 * (t - d) + (ld)1.0 / 2 * (t * t + d * d);
st ++;
}
}
s = m * la[n];
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<<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)
{
if(abs(b[st].len) <= eps && abs(a[i].len) <= eps)
{
cout<<1<<endl;
ans += abs(b[st].l - a[i].l);
}
else if(b[st].len == 0)
{
ans += calc1(b[st].l,a[i].l,a[i].r);
}
else if(a[i].len == 0)
{
ans += calc1(a[i].l,b[st].l,a[st].r);
}
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;
}
详细
Test #1:
score: 0
Wrong Answer
time: 1ms
memory: 3888kb
input:
1 1 0 1 0 1
output:
0.000000000000
result:
wrong answer 1st numbers differ - expected: '0.3333333', found: '0.0000000', error = '0.3333333'