QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#418794 | #7691. B Road Band | haze# | AC ✓ | 1052ms | 76728kb | C++23 | 1.9kb | 2024-05-23 15:47:21 | 2024-05-23 15:47:23 |
Judging History
answer
/*
Author: Haze
2024/5/23
*/
#include <bits/stdc++.h>
#define irep(i, l, r) for(int i = (l); i <= (r); ++ i)
#define drep(i, r, l) for(int i = (r); i >= (l); -- i)
#define IOS ios::sync_with_stdio(false), cin.tie(nullptr);
using namespace std;
typedef long long ll;
inline ll readL() {
ll s = 0;
bool fl = false;
char ch = (char) getchar();
while (!isdigit(ch)) {
if (ch == '-')fl = true;
ch = (char) getchar();
}
while (isdigit(ch)) {
s = s * 10 + (ch ^ 48);
ch = (char) getchar();
}
return fl ? -s : s;
}
inline int read() {
return (int) (readL());
}
const int mod = 1000000000 + 7;
const int itinf = 1000000999;
const ll llinf = 2e18;
const int N = 1000 + 7;
#define LD long double
LD f[2234][2234];
LD pre[2234], sqpre[2234];
void solve() {
ll n = read(), m = read(), k = read();
LD s, ans = 0;
cin >> s;
LD base = 0.25 * s* s * (n + m);
vector<LD>a(n + m + 1);
irep(i, 0, n + m - 1){
cin >> a[i + 1];
}
n = n + m;
sort(a.begin() + 1, a.end());
irep(i, 1, n){
pre[i] = pre[i - 1] + a[i];
sqpre[i] = sqpre[i - 1] + a[i] * a[i];
}
auto w = [&](int l, int r){
return sqpre[r] - sqpre[l - 1] - (pre[r] - pre[l - 1]) * (pre[r] - pre[l - 1]) * (1.0 / (1.0 * r - l + 1));
};
irep(i, 0, 2050){
irep(j, 0, 2050){
f[i][j] = llinf;
}
}
f[0][0] = 0;
irep(i, 0, n - 1){
irep(j, 0, k - 1){
irep(ii, i + 1, n){
f[ii][j + 1] = min(f[ii][j + 1], f[i][j] + w(i + 1, ii));
}
}
}
ans = f[n][1];
irep(j, 0, k){
ans = min(ans, f[n][j]);
}
cout << fixed << setprecision(12) << ans + base;
}
int main() {
// IOS
int T = 1;
while (T--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 9ms
memory: 75552kb
input:
4 4 2 3 0.5 1.0 3.0 3.5 1.0 2.5 3.0 3.5
output:
18.866666666667
result:
ok found '18.86667', expected '18.86667', error '0.00000'
Test #2:
score: 0
Accepted
time: 22ms
memory: 75488kb
input:
9 9 3 2 1 2 3 5 6 7 9 10 11 1 2 3 5 6 7 9 10 11
output:
30.000000000000
result:
ok found '30.00000', expected '30.00000', error '0.00000'
Test #3:
score: 0
Accepted
time: 12ms
memory: 75372kb
input:
9 9 2 2 1 2 3 5 6 7 9 10 11 1 2 3 5 6 7 9 10 11
output:
69.900000000000
result:
ok found '69.90000', expected '69.90000', error '0.00000'
Test #4:
score: 0
Accepted
time: 11ms
memory: 75564kb
input:
9 9 4 2 1 2 3 5 6 7 9 10 11 1 2 3 5 6 7 9 10 11
output:
27.000000000000
result:
ok found '27.00000', expected '27.00000', error '0.00000'
Test #5:
score: 0
Accepted
time: 525ms
memory: 75532kb
input:
1000 1000 50 50 330.73 339.71 953.72 23.16 638.53 63.45 962.76 333.8 598.13 217.16 515.65 61.91 700.25 674.76 623.15 664.65 721.77 286.49 69.91 880.07 547.7 433.38 384.93 802.7 130.46 874.74 285.52 280.83 764.82 528.59 978.47 4.95 325.9 183.52 748.54 867.48 434.04 730.72 439.99 918.07 426.39 868.28 ...
output:
1308206.859840847479
result:
ok found '1308206.85984', expected '1308206.85984', error '0.00000'
Test #6:
score: 0
Accepted
time: 1052ms
memory: 75616kb
input:
1000 1000 100 50 105.67 449.24 806.29 311.9 769.96 429.75 615.75 129.89 341.97 740.16 810.73 230.26 544.63 99.66 232.57 733.62 741.15 707.48 364.11 223.4 961.2 997.79 885.57 389.15 529.83 615.18 377.93 919.18 999.44 653.69 817.85 774.44 173.74 744.18 721.5 422.42 866.58 585.33 717.53 122.96 511.1 70...
output:
1263688.579870550108
result:
ok found '1263688.57987', expected '1263688.57987', error '0.00000'
Test #7:
score: 0
Accepted
time: 272ms
memory: 75600kb
input:
500 500 100 25 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0 7...
output:
156332.499999973583
result:
ok found '156332.50000', expected '156332.50000', error '0.00000'
Test #8:
score: 0
Accepted
time: 11ms
memory: 76728kb
input:
500 500 1 25 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0 7.1...
output:
226037084.999999994790
result:
ok found '226037085.00000', expected '226037085.00000', error '0.00000'
Test #9:
score: 0
Accepted
time: 18ms
memory: 75596kb
input:
500 500 2 25 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0 7.1...
output:
364582.499999990098
result:
ok found '364582.50000', expected '364582.50000', error '0.00000'
Test #10:
score: 0
Accepted
time: 20ms
memory: 75532kb
input:
500 500 3 25 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0 7.1...
output:
286457.499999990097
result:
ok found '286457.50000', expected '286457.50000', error '0.00000'
Test #11:
score: 0
Accepted
time: 399ms
memory: 75488kb
input:
250 1000 97 47 11.51 12.23 12.91 13.73 14.51 15.11 15.83 16.57 17.33 18.11 18.89 19.87 20.53 21.29 22.13 22.87 23.57 24.23 25.31 26.17 26.87 27.41 28.19 29.03 29.99 30.79 31.81 32.57 33.31 34.13 35.11 35.71 36.43 37.27 38.21 39.07 39.89 40.57 41.39 42.31 42.97 44.09 44.93 45.83 46.57 47.51 48.31 49....
output:
697092.854459823504
result:
ok found '697092.85446', expected '697092.85446', error '0.00000'
Test #12:
score: 0
Accepted
time: 10ms
memory: 75564kb
input:
1 1 1 50 0 0
output:
1250.000000000000
result:
ok found '1250.00000', expected '1250.00000', error '0.00000'
Test #13:
score: 0
Accepted
time: 3ms
memory: 75488kb
input:
1 1 1 50 0 1000
output:
501250.000000000000
result:
ok found '501250.00000', expected '501250.00000', error '0.00000'
Test #14:
score: 0
Accepted
time: 271ms
memory: 75596kb
input:
1 1000 99 1 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 9...
output:
8703.886363617848
result:
ok found '8703.88636', expected '8703.88636', error '0.00000'
Test #15:
score: 0
Accepted
time: 1044ms
memory: 75620kb
input:
1000 1000 100 10 0.0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.01 0.011 0.012 0.013 0.014 0.015 0.016 0.017 0.018 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026 0.027 0.028 0.029 0.03 0.031 0.032 0.033 0.034 0.035 0.036 0.037 0.038 0.039 0.04 0.041 0.042 0.043 0.044 0.045 0.046 0.047 0...
output:
50000.066499945245
result:
ok found '50000.06650', expected '50000.06650', error '0.00000'
Test #16:
score: 0
Accepted
time: 317ms
memory: 75612kb
input:
832 534 62 22 757.493 969.1209 924.3885 464.8884 703.9059 5.3945 28.0153 826.2629 51.3272 956.5959 109.8332 280.5574 360.0078 748.5931 178.8053 292.964 869.1198 227.3777 802.1165 451.8061 703.6826 355.7579 216.5385 539.5439 91.4301 829.2405 875.1581 704.5212 536.3218 347.2829 266.4107 225.4323 583.8...
output:
190260.874200971090
result:
ok found '190260.87420', expected '190260.87420', error '0.00000'
Test #17:
score: 0
Accepted
time: 359ms
memory: 75480kb
input:
699 467 96 45 913.2083 450.4552 735.5268 27.7049 936.9643 963.2617 630.9603 749.6636 920.6194 69.1402 927.4449 403.6279 979.213 725.9698 8.0531 2.415 159.4208 773.2526 151.8 88.8923 746.5293 901.682 728.7017 508.776 905.6727 188.032 187.993 963.3742 402.6472 696.0754 811.9219 105.8354 971.0376 269.0...
output:
598119.353023865684
result:
ok found '598119.35302', expected '598119.35302', error '0.00000'
Test #18:
score: 0
Accepted
time: 194ms
memory: 75576kb
input:
467 707 50 31 922.4672 288.2115 248.6613 787.4892 215.0621 138.2471 291.2981 442.6152 663.4357 286.3617 422.5612 741.0062 6.0355 738.8899 439.7847 141.3104 120.9414 108.6917 24.824 476.9891 654.4894 816.6031 442.9343 707.6849 694.5703 172.9833 584.9788 716.2458 522.2092 75.4161 894.5203 60.0289 612....
output:
315183.915350167292
result:
ok found '315183.91535', expected '315183.91535', error '0.00000'
Test #19:
score: 0
Accepted
time: 282ms
memory: 75476kb
input:
953 78 97 22 548.6809 702.1484 728.3296 784.9799 430.9431 930.6424 875.6313 227.0124 83.7347 518.7594 76.0558 816.2232 916.794 674.5125 413.0768 585.3728 715.4719 549.0397 643.2298 91.5907 682.7935 643.5181 210.6304 334.4067 30.4261 132.0014 71.1378 951.1012 228.7686 47.841 105.6795 651.8146 526.491...
output:
131378.370399349782
result:
ok found '131378.37040', expected '131378.37022', error '0.00000'
Test #20:
score: 0
Accepted
time: 23ms
memory: 75664kb
input:
115 164 63 46 421.7146 649.9187 175.9689 688.7938 891.7511 588.2231 234.7759 10.0299 482.8945 552.7068 295.576 437.7695 11.3659 621.4309 57.5582 131.3717 468.3941 39.8718 80.3117 901.6784 903.2252 269.0753 917.3674 184.9596 595.727 637.8203 8.0889 207.0107 153.1284 38.9418 323.2908 975.4139 605.7919...
output:
150458.994274801049
result:
ok found '150458.99427', expected '150458.99427', error '0.00000'
Test #21:
score: 0
Accepted
time: 8ms
memory: 75492kb
input:
2 3 3 1 1 3 2 5 6
output:
2.250000000000
result:
ok found '2.25000', expected '2.25000', error '0.00000'