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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#173695 | #5433. Absolute Difference | aesthetic | TL | 898ms | 4168kb | C++20 | 2.1kb | 2023-09-10 01:12:09 | 2023-09-10 01:12:10 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
vector<pair<int, int>> split(const vector<pair<int, int>> &v, const vector<int> &pos)
{
vector<pair<int, int>> ret;
for(auto[l, r] : v)
{
if(l == r)
{
ret.emplace_back(l, r);
continue;
}
int last = l;
auto it = upper_bound(pos.begin(), pos.end(), l);
while(it != pos.end() && (*it) <= r)
{
ret.emplace_back(last, *it);
last = *it;
it++;
}
}
return ret;
}
long double f(int l1, int r1, int l2, int r2)
{
if(l1 == l2 && r1 == r2)
{
return (r1 - l1) / 3.0L;
}
if(r1 <= l2 || r2 <= l1)
{
long double E1 = (l1 + r1) / 2.0L;
long double E2 = (l2 + r2) / 2.0L;
return abs(E1 - E2);
}
if(l1 < l2 && l2 < r1)
{
long double aux = f(l2, r1, l2, r2) * (r1 - l2) / (r1 - l1);
return aux + f(l1, l2, l2, r2) * (l2 - l1) / (r1 - l1);
}
if(l1 < r2 && r2 < r1)
{
long double aux = f(l1, r2, l2, r2) * (r2 - l1) / (r1 - l1);
return aux + f(r2, r1, l2, r2) * (r1 - r2) / (r1 - l1);
}
return f(l2, r2, l1, r1);
}
int main()
{
ios_base::sync_with_stdio(false), cin.tie(NULL);
int n, m;
cin >> n >> m;
vector<pair<int, int>> a(n), b(m);
int tota = 0, totb = 0;
for(int i = 0; i < n; ++i)
{
cin >> a[i].first >> a[i].second;
tota += (a[i].second - a[i].first);
}
for(int i = 0; i < m; ++i)
{
cin >> b[i].first >> b[i].second;
totb += (b[i].second - b[i].first);
}
vector<int> pos;
for(auto[l, r] : a)
pos.push_back(l), pos.push_back(r);
for(auto[l, r] : b)
pos.push_back(l), pos.push_back(r);
sort(pos.begin(), pos.end());
pos.erase(unique(pos.begin(), pos.end()), pos.end());
a = split(a, pos);
b = split(b, pos);
n = a.size();
m = b.size();
long double ans = 0;
for(int i = 0; i < n; ++i)
for(int j = 0; j < m; ++j)
{
auto [l1, r1] = a[i];
auto [l2, r2] = b[j];
long double prob1 = 1.0L / n;
long double prob2 = 1.0L / m;
if(tota)
prob1 = (r1 - l1) * 1.0L / tota;
if(totb)
prob2 = (r2 - l2) * 1.0L / totb;
ans += prob1 * prob2 * f(l1, r1, l2, r2);
}
cout << setprecision(20) << fixed << ans << endl;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3888kb
input:
1 1 0 1 0 1
output:
0.33333333333333333334
result:
ok found '0.333333333', expected '0.333333333', error '0.000000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
1 1 0 1 1 1
output:
0.50000000000000000000
result:
ok found '0.500000000', expected '0.500000000', error '0.000000000'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
1 1 -1000000000 1000000000 -1000000000 1000000000
output:
666666666.66666666668606922030
result:
ok found '666666666.666666627', expected '666666666.666666627', error '0.000000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3868kb
input:
1 1 -1000000000 0 0 1000000000
output:
1000000000.00000000000000000000
result:
ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
1 1 -1000000000 -1000000000 -1000000000 1000000000
output:
1000000000.00000000000000000000
result:
ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
1 1 -999999999 1000000000 -1000000000 -1000000000
output:
1000000000.50000000000000000000
result:
ok found '1000000000.500000000', expected '1000000000.500000000', error '0.000000000'
Test #7:
score: 0
Accepted
time: 1ms
memory: 4052kb
input:
1 1 -1000000000 1000000000 -999999999 -999999999
output:
999999999.00000000046566128731
result:
ok found '999999999.000000000', expected '999999999.000000000', error '0.000000000'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3884kb
input:
1 1 1000000000 1000000000 -1000000000 -1000000000
output:
2000000000.00000000000000000000
result:
ok found '2000000000.000000000', expected '2000000000.000000000', error '0.000000000'
Test #9:
score: 0
Accepted
time: 32ms
memory: 3856kb
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:
6717.11714573945426876023
result:
ok found '6717.117145739', expected '6717.117145739', error '0.000000000'
Test #10:
score: 0
Accepted
time: 12ms
memory: 3896kb
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:
6682.58112747143577658804
result:
ok found '6682.581127471', expected '6682.581127471', error '0.000000000'
Test #11:
score: 0
Accepted
time: 16ms
memory: 4064kb
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:
6673.75681689103923721618
result:
ok found '6673.756816891', expected '6673.756816891', error '0.000000000'
Test #12:
score: 0
Accepted
time: 8ms
memory: 3828kb
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:
6479.38467999999998525595
result:
ok found '6479.384680000', expected '6479.384680000', error '0.000000000'
Test #13:
score: 0
Accepted
time: 898ms
memory: 4004kb
input:
100 10000 82274 82408 61583 61902 -54304 -54007 -48488 -48316 -92517 -91939 85001 85160 33086 33374 36458 36573 -15785 -11838 93971 94863 50496 53064 -68609 -68302 -91873 -91176 -96937 -96753 9481 9976 83600 83691 17742 18693 55685 56039 56323 57845 88761 90277 22886 23642 30848 31047 -34662 -33470 ...
output:
65016.29863479761317179850
result:
ok found '65016.298634798', expected '65016.298634798', error '0.000000000'
Test #14:
score: 0
Accepted
time: 348ms
memory: 4168kb
input:
100 10000 -89227 -88897 -70959 -68913 -60233 -59597 81753 81820 96806 97104 -58324 -57553 -38857 -37087 -81344 -81311 22701 22890 -68517 -66298 -19753 -19047 -80409 -79437 6355 7569 -13999 -12586 -84981 -82448 -29865 -29624 -76088 -75272 70697 72265 85493 86097 82574 84418 -8937 -8079 -92387 -90609 ...
output:
65683.86970708786379447019
result:
ok found '65683.869707088', expected '65683.869707088', error '0.000000000'
Test #15:
score: 0
Accepted
time: 412ms
memory: 4100kb
input:
10000 100 -57904 -57904 21152 21152 60543 60543 50109 50109 -79601 -79601 -22525 -22525 28423 28423 48296 48296 -71861 -71861 -72518 -72518 -83776 -83776 77745 77745 21894 21894 -32330 -32330 82508 82508 63261 63261 -5358 -5358 3672 3672 12238 12238 -84298 -84298 -7608 -7608 3472 3472 17602 17602 56...
output:
67565.83534467324233219188
result:
ok found '67565.835344673', expected '67565.835344673', error '0.000000000'
Test #16:
score: 0
Accepted
time: 10ms
memory: 4040kb
input:
10000 100 30397 30397 62144 62144 53466 53466 -85377 -85377 -36472 -36472 -11689 -11689 18989 18989 85562 85562 -90083 -90083 51219 51219 19436 19436 -51762 -51762 28774 28774 10705 10705 83520 83520 11659 11659 -44907 -44907 62858 62858 69493 69493 59094 59094 9273 9273 -83311 -83311 94463 94463 50...
output:
68329.27048999999873757361
result:
ok found '68329.270490000', expected '68329.270490000', error '0.000000000'
Test #17:
score: -100
Time Limit Exceeded
input:
10 100000 -869747 -830724 -788440 -670325 117115 196471 908542 968596 650801 749354 370395 516964 -501924 -184650 -948338 -936663 -95487 58170 541118 558043 -159087 -159083 32299 32305 -973981 -973976 301160 301166 -865954 -865952 -213982 -213982 28063 28063 206739 206748 546600 546610 -387875 -3878...