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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#579288 | #5433. Absolute Difference | zzyNorthPole | WA | 43ms | 3996kb | C++14 | 2.5kb | 2024-09-21 11:36:38 | 2024-09-21 11:36:39 |
Judging History
answer
#include <cstdio>
#include <algorithm>
// #define DEBUG
using namespace std;
typedef long long LL;
typedef long double LD;
typedef pair <int, int> pii;
const int N = 1e5 + 5;
pii a[N], b[N];
int z[N*4], zcnt = 0;
inline int lhs(int x) {return lower_bound(z + 1, z + zcnt + 1, x) - z;}
int cnta[N], cntb[N];
int main() {
int n, m;
scanf("%d%d", &n, &m);
int 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);
z[++zcnt] = a[i].first, z[++zcnt] = a[i].second;
}
for (int i = 1; i <= m; ++i) {
scanf("%d%d", &b[i].first, &b[i].second);
lenb += (b[i].second - b[i].first);
z[++zcnt] = b[i].first, z[++zcnt] = b[i].second;
}
if (lena && !lenb) swap(a, b), swap(n, m), swap(lena, lenb);
sort(z + 1, z + zcnt + 1);
zcnt = unique(z + 1, z + zcnt + 1) - z - 1;
for (int i = 1; i <= n; ++i) {
int l = lhs(a[i].first), r = lhs(a[i].second);
cnta[l]++;
if (lena) cnta[r]--;
}
for (int i = 1; i <= m; ++i) {
int l = lhs(b[i].first), r = lhs(b[i].second);
cntb[l]++;
if (lenb) cntb[r]--;
}
for (int i = 1; i <= zcnt; ++i) {
if (lena) cnta[i] += cnta[i - 1];
if (lenb) cntb[i] += cntb[i - 1];
}
double ans = 0, pre1 = 0, pre2 = 0;
for (int i = 1; i <= zcnt; ++i) {
double part2a = lena ? (double(z[i + 1] + z[i]) / 2.0 * (z[i + 1] - z[i])) : z[i];
double part1a = lena ? (z[i + 1] - z[i]) : 1;
double part2b = lenb ? (double(z[i + 1] + z[i]) / 2.0 * (z[i + 1] - z[i])) : z[i];
double part1b = lenb ? (z[i + 1] - z[i]) : 1;
if (cnta[i]) {
ans += pre1 * part2a - pre2 * part1a;
}
if (cntb[i]) {
pre1 += part1b, pre2 += part2b;
}
if (cnta[i] && cntb[i] && lena && lenb) {
ans += double(z[i + 1] - z[i]) * (z[i + 1] - z[i]) / 3.0 * (z[i + 1] - z[i]);
}
}
#ifdef DEBUG
printf("half result %.12lf\n", ans / (lena ? lena : n) / (lenb ? lenb : m));
#endif
double suf1 = 0, suf2 = 0;
for (int i = zcnt; i > 0; --i) {
double part2a = lena ? (double(z[i + 1] + z[i]) / 2.0 * (z[i + 1] - z[i])) : z[i];
double part1a = lena ? (z[i + 1] - z[i]) : 1;
double part2b = lenb ? (double(z[i + 1] + z[i])) / 2.0 * (z[i + 1] - z[i]) : z[i];
double part1b = lenb ? (z[i + 1] - z[i]) : 1;
if (cntb[i] && !lena) suf1 += part1b, suf2 += part2b;
if (cnta[i]) {
ans += suf2 * part1a - suf1 * part2a;
}
if (cntb[i] && lena) suf1 += part1b, suf2 += part2b;
}
printf("%.12lf", ans / (lena ? lena : n) / (lenb ? lenb : m));
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3688kb
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: 1ms
memory: 3232kb
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: 0ms
memory: 3664kb
input:
1 1 -1000000000 1000000000 -1000000000 1000000000
output:
666666666.666666626930
result:
ok found '666666666.666666627', expected '666666666.666666627', error '0.000000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3688kb
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: 0ms
memory: 3716kb
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: 3240kb
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: 0ms
memory: 3888kb
input:
1 1 -1000000000 1000000000 -999999999 -999999999
output:
999999999.000000000000
result:
ok found '999999999.000000000', expected '999999999.000000000', error '0.000000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 1684kb
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: 1ms
memory: 3724kb
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:
6717.117145739449
result:
ok found '6717.117145739', expected '6717.117145739', error '0.000000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3816kb
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:
6682.581127471435
result:
ok found '6682.581127471', expected '6682.581127471', error '0.000000000'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3732kb
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: 0
Accepted
time: 1ms
memory: 1688kb
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:
6479.384680000000
result:
ok found '6479.384680000', expected '6479.384680000', error '0.000000000'
Test #13:
score: 0
Accepted
time: 4ms
memory: 3896kb
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:
65016.298634797648
result:
ok found '65016.298634798', expected '65016.298634798', error '0.000000000'
Test #14:
score: 0
Accepted
time: 4ms
memory: 3368kb
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:
65683.869707087899
result:
ok found '65683.869707088', expected '65683.869707088', error '0.000000000'
Test #15:
score: 0
Accepted
time: 4ms
memory: 3880kb
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:
67565.835344673236
result:
ok found '67565.835344673', expected '67565.835344673', error '0.000000000'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3820kb
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:
68329.270489999995
result:
ok found '68329.270490000', expected '68329.270490000', error '0.000000000'
Test #17:
score: -100
Wrong Answer
time: 43ms
memory: 3996kb
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...
output:
72684106045648992.000000000000
result:
wrong answer 1st numbers differ - expected: '634086.6030174', found: '72684106045648992.0000000', error = '114628042445.8327637'