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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#578843 | #5433. Absolute Difference | zzyNorthPole | WA | 0ms | 1612kb | C++14 | 4.1kb | 2024-09-20 21:51:09 | 2024-09-20 21:51:09 |
Judging History
answer
#include <cstdio>
#include <algorithm>
const int N = 1e5 + 5;
typedef long long LL;
std::pair <int, int> a[N], b[N];
LL sqr(int x) {
return 1ll * x * x;
}
LL calc(int p, int q, int s, int t) {
return (sqr(t) - sqr(s)) * (q - p) - (sqr(q) - sqr(p)) * (t - s);
}
int main() {
int n, m;
scanf("%d%d", &n, &m);
LL lena = 0, lenb = 0;
for (int i = 1; i <= n; ++i) {
scanf("%d%d", &a[i].first, &a[i].second);
lena += a[i].second - a[i].first;
}
for (int i = 1; i <= m; ++i) {
scanf("%d%d", &b[i].first, &b[i].second);
lenb += b[i].second - b[i].first;
}
std::sort(a + 1, a + n + 1), std::sort(b + 1, b + m + 1);
if (lena && lenb) {
// forward
LL cnt_1 = 0, cnt_2 = 0, res = 0;
long double ans = 0;
for (int i = 1, j = 0; i <= n; ++i) {
int s = a[i].first, t = a[i].second;
res += (sqr(t) - sqr(s)) * cnt_1 - cnt_2 * (t - s);
while (j + 1 <= m && b[j + 1].second <= t) {
++j;
int p = b[j].first, q = b[j].second;
cnt_1 += q - p;
cnt_2 += sqr(q) - sqr(p);
if (q <= s) res += calc(p, q, s, t);
else {
// q > s
if (p <= s) res += calc(p, s, s, t) + calc(s, q, q, t);
else res += calc(s, p, p, q) + calc(p, q, q, t);
}
}
if (j + 1 <= m && b[j + 1].second > t && b[j + 1].first <= s) {
res += calc(b[j + 1].first, s, s, t);
}
}
ans += (long double) res / 2.0;
cnt_1 = 0, cnt_2 = 0, res = 0;
for (int i = n, j = m + 1; i > 0; --i) {
int s = a[i].first, t = a[i].second;
res += (sqr(t) - sqr(s)) * cnt_1 - cnt_2 * (t - s);
while (j - 1 > 0 && b[j - 1].first >= a[i].first) {
--j;
int p = b[j].first, q = b[j].second;
cnt_1 += q - p;
cnt_2 += sqr(q) - sqr(p);
if (t <= p) res += calc(s, t, p, q);
else {
if (t <= q) res += calc(s, p, p, q) + calc(p, t, t, q);
}
}
if (j - 1 > 0 && b[j - 1].second > t && b[j - 1].first <= s) {
res += calc(s, t, t, b[j - 1].second);
}
}
ans += (long double) res / 2.0;
res = 0;
for (int i = 1, j = 0; i <= n; ++i) {
int s = a[i].first, t = a[i].second;
while (j + 1 <= m && b[j + 1].second <= t) {
++j;
int p = b[j].first, q = b[j].second;
if (q <= s) continue;
else {
if (p <= s) res += sqr(q - s) * (q - s);
else res += sqr(q - p) * (q - p);
}
}
if (j + 1 <= m && b[j + 1].second > t && b[j + 1].first <= s) {
res += sqr(t - s) * (t - s);
}
}
ans += (long double) res / 3.0;
ans /= (long double) lena;
ans /= (long double) lenb;
printf("%.12Lf", ans);
}
else if (!lena && !lenb) {
LL cnt = 0, res = 0;
long double ans = 0;
for (int i = 1, j = 0; i <= n; ++i) {
while (j + 1 <= m && b[j + 1].first <= a[i].first) ++j, cnt += b[j].first;
res += 1ll * j * a[i].first - cnt;
}
cnt = 0;
for (int i = n, j = m + 1; i > 0; --i) {
while (j - 1 > 0 && b[j - 1].first >= a[i].first) --j, cnt += b[j].first;
res += cnt - 1ll * (m - j + 1) * a[i].first;
}
ans = (long double) res / (double) n / (double) m;
printf("%.12Lf", ans);
}
else {
if (!lena) {
for (int i = 1; i <= std::max(n, m); ++i) std::swap(a[i], b[i]);
std::swap(n, m);
std::swap(lena, lenb);
}
LL cnt = 0, res = 0;
long double ans = 0;
for (int i = 1, j = 0; i <= n; ++i) {
int s = a[i].first, t = a[i].second;
res += (sqr(t) - sqr(s)) * j - cnt * (t - s);
while (j + 1 <= m && b[j + 1].second <= t) {
++j;
int p = b[j].first;
cnt += 2ll * p;
if (p <= s) res += (sqr(t) - sqr(s)) - 2ll * p * (t - s);
else {
res += (sqr(t) - sqr(p)) - 2ll * p * (t - p);
res += 2ll * p * (p - s) - (sqr(p) - sqr(s));
}
}
}
ans += (long double) res / 2.0;
cnt = 0, res = 0;
for (int i = n, j = m + 1; i > 0; --i) {
int s = a[i].first, t = a[i].second;
res += cnt * (t - s) - (sqr(t) - sqr(s)) * (m + 1 - j);
while (j - 1 > 0 && b[j - 1].second > t) {
--j;
int p = b[j].first;
cnt += 2ll * p;
if (p >= t) res += 2ll * p * (t - s) - (sqr(t) - sqr(s));
}
}
ans += (long double) res / 2.0;
ans /= (double) m;
ans /= (long double) lena;
printf("%.12Lf", ans);
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 1584kb
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: 0ms
memory: 1612kb
input:
1 1 0 1 1 1
output:
0.500000000000
result:
ok found '0.500000000', expected '0.500000000', error '0.000000000'
Test #3:
score: -100
Wrong Answer
time: 0ms
memory: 1592kb
input:
1 1 -1000000000 1000000000 -1000000000 1000000000
output:
-0.008913199869
result:
wrong answer 1st numbers differ - expected: '666666666.6666666', found: '-0.0089132', error = '1.0000000'