QOJ.ac
QOJ
The 2nd Universal Cup Finals is coming! Check out our event page, schedule, and competition rules!
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#771225 | #5433. Absolute Difference | ucup-team3702# | WA | 1ms | 5440kb | C++20 | 3.7kb | 2024-11-22 10:54:54 | 2024-11-22 10:54:57 |
Judging History
answer
#include <map>
#include <set>
#include <list>
#include <array>
#include <cmath>
#include <deque>
#include <queue>
#include <stack>
#include <tuple>
#include <bitset>
#include <cfloat>
#include <memory>
#include <vector>
#include <random>
#include <string>
#include <cassert>
#include <climits>
#include <cstring>
#include <iomanip>
#include <numeric>
#include <iostream>
#include <algorithm>
#include <functional>
#include <unordered_map>
#include <unordered_set>
using namespace std;
#define rep(i, s, e) for (int i = s; i <= e; ++i)
#define pv(a) cout << #a" = " << a << endl
#define pa(a, l, r) cout << #a" : "; rep(_, l, r) cout << a[_] << " \n"[_ == r]
using db = double;
const int inf = 0x3f3f3f3f;
const int N = 1e5 + 10;
bool check(pair <int, int> *a, int n) {
rep(i, 1, n) if (a[i].first < a[i].second) return true;
return false;
}
bool bel(pair <int, int> *a, int n, int l, int r) {
auto it = upper_bound(a + 1, a + n + 1, make_pair(l, inf));
return (--it)->second >= r;
}
int n, m, k, val[4 * N];
pair <int, int> a[N], b[N];
db ans;
void solve1() {
db pre = 0, suf = 0;
rep(j, 1, m) suf += b[j].first;
for (int i = 1, j = 1; i <= n; ++i) {
while (j <= m && b[j].first <= a[i].first) {
suf -= b[j].first, pre += b[j].first;
++j;
}
ans += (db) (j - 1) * a[i].first - pre + suf - (m - j + 1) * a[i].first;
}
ans /= n * m;
}
void solve2() {
db pre = 0, suf = 0, blen = 0;
rep(i, 1, n) suf += a[i].first;
for (int p = 1, i = 1; p < k; ++p) {
while (i <= n && a[i].first <= val[p]) {
suf -= a[i].first, pre += a[i].first;
++i;
}
if (bel(b, m, val[i], val[i + 1])) {
db len = val[i + 1] - val[i];
db mid = (db) (val[i] + val[i + 1]) / 2;
blen += len;
ans += (i - 1) * mid - pre + suf - (n - i + 1) * mid;
}
}
ans /= n * blen;
}
void solve3() {
db aps = 0, apl = 0, ass = 0, asl = 0;
db bps = 0, bpl = 0, bss = 0, bsl = 0;
rep(i, 1, n) {
db len = a[i].second - a[i].first;
db mid = a[i].first + len / 2;
ass += len * mid, asl += len;
}
rep(j, 1, m) {
db len = b[j].second - b[j].first;
db mid = b[j].first + len / 2;
bss += len * mid, bsl += len;
}
// pv(ass);
// pv(asl);
rep(p, 1, k - 1) {
db l = val[p], r = val[p + 1];
db len = r - l, mid = (l + r) / 2;
bool fa = bel(a, n, l, r), fb = bel(b, m, l, r);
// cout << "p, l, r = " << p << ' ' << l << ' ' << r << endl;
if (fa) ass -= len * mid, asl -= len;
if (fb) bss -= len * mid, bsl -= len;
if (fa) {
ans += len * (bpl * mid - bps + bss - bsl * mid);
if (fb) ans += len * len * len / 3;
}
if (fa) aps += len * mid, apl += len;
if (fb) bps += len * mid, bpl += len;
// pv(ans);
}
ans /= apl * bpl;
}
int main() {
// freopen("data.in", "r", stdin);
// freopen("data.out", "w", stdout);
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
cin >> n >> m;
rep(i, 1, n) {
cin >> a[i].first >> a[i].second;
val[++k] = a[i].first;
val[++k] = a[i].second;
}
rep(i, 1, m) {
cin >> b[i].first >> b[i].second;
val[++k] = b[i].first;
val[++k] = b[i].second;
}
sort(a + 1, a + n + 1);
sort(b + 1, b + m + 1);
a[0].first = a[0].second = -inf;
b[0].first = b[0].second = -inf;
// rep(i, 1, n) cout << a[i].first << ' ' << a[i].second << endl;
sort(val + 1, val + k + 1);
k = unique(val + 1, val + k + 1) - val - 1;
if (!check(a, n) && !check(b, m)) solve1();
else if (!check(a, n)) solve2();
else if (!check(b, m)) {
swap(a, b), swap(n, m);
solve2();
} else solve3();
printf("%.10lf\n", ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3824kb
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: 1ms
memory: 5440kb
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: 0ms
memory: 3824kb
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: 0ms
memory: 3888kb
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: 0ms
memory: 3956kb
input:
1 1 -1000000000 -1000000000 -1000000000 1000000000
output:
-0.5000000000
result:
wrong answer 1st numbers differ - expected: '1000000000.0000000', found: '-0.5000000', error = '1.0000000'