QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#305084#7783. Military Maneuverucup-team2000TL 4350ms4000kbC++232.7kb2024-01-14 17:08:292024-01-14 17:08:30

Judging History

你现在查看的是最新测评结果

  • [2024-01-14 17:08:30]
  • 评测
  • 测评结果:TL
  • 用时:4350ms
  • 内存:4000kb
  • [2024-01-14 17:08:29]
  • 提交

answer

#pragma GCC optimize("O3,unroll-loops")
#ifdef ONLINE_JUDGE
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#endif
#include <bits/stdc++.h>

// #define double long double
struct simpson {
    double area(double l, double r, double fl, double fm, double fr) {
        return (fl + 4 * fm + fr) * (r - l) / 6;
    }
    double solve(double (*f)(double), double l, double m, double r, double eps,
                 double fl, double fm, double fr, double a) {
        double lm = (l + m) / 2, rm = (m + r) / 2;
        double flm = f(lm), frm = f(rm);
        double left = area(l, m, fl, flm, fm), right = area(m, r, fm, frm, fr);
        if (fabs(left + right - a) <= 15 * eps)
            return left + right + (left + right - a) / 15.0;
        return solve(f, l, lm, m, eps / 2, fl, flm, fm, left) +
               solve(f, m, rm, r, eps / 2, fm, frm, fr, right);
    }
    double solve(double (*f)(double), double l, double r, double eps) {
        double m = (l + r) / 2;
        double fl = f(l), fm = f(m), fr = f(r);
        return solve(f, l, m, r, eps, fl, fm, fr, area(l, r, fl, fm, fr));
    }
} _simpson;

const double EPS = 3E-8;
const int SIZE = 20;
const double PI = acos(-1);
long long XL, YL, XR, YR;
int N;
std::pair<long long, long long> P[3000];
double XX[3000];

double ff(double y) {
    double val0 = XX[0] + (P[0].second - y) * (P[0].second - y);
    double min = val0, max = val0;
    for (int i = 1; i < N; ++i) {
        double val = XX[i] + (P[i].second - y) * (P[i].second - y);
        if (min > val) min = val;
        if (max < val) max = val;
    }
    return max - min;
}

double f(double x) {
    static int cnt = 0;
    for (int i = 0; i < N; ++i)
        XX[i] = P[i].first - x, XX[i] *= XX[i];
    double area = 0;
    for (int t = 0; t < SIZE; ++t) {
        area += (YR - YL) * ff((YL * (t + .5) + YR * (SIZE - .5 - t)) / SIZE);
    }
    area /= SIZE;
    double ret = _simpson.solve(ff, YL, YR, std::max(EPS, area * EPS) / (1ll << 12));
    // printf("%d %.10lf %.10lf\n", ++cnt, x, ret);
    return ret;
}

int main() {
    scanf("%lld%lld%lld%lld", &XL, &YL, &XR, &YR);
    // XL = YL = -10000, XR = YR = 10000;
    scanf("%d", &N);
    // N = 2000;
    for (int i = 0; i < N; ++i) {
        scanf("%lld%lld", &P[i].first, &P[i].second);
        // X[i] = rand() % 20000 - 10000; Y[i] = rand() % 20000 - 10000;
    }
    std::sort(P, P + N);
    double area = 0;
    for (int t = 0; t < SIZE; ++t) {
        area += (XR - XL) * f((XL * (t + .5) + XR * (SIZE - .5 - t)) / SIZE);
    }
    area /= SIZE;
    printf("%.10lf\n", _simpson.solve(f, XL, XR, std::max(EPS, area * EPS)) *
                           PI / (XR - XL) / (YR - YL));
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3932kb

input:

0 0 2 2
2
3 1
1 3

output:

8.3775804096

result:

ok found '8.3775804', expected '8.3775804', error '0.0000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

0 0 2 2
2
5 1
1 3

output:

37.6991118431

result:

ok found '37.6991118', expected '37.6991118', error '0.0000000'

Test #3:

score: 0
Accepted
time: 29ms
memory: 3984kb

input:

-2911 2151 336 5941
2000
-83 79
-94 47
48 -29
-47 64
84 75
-44 -86
-58 -11
-31 58
20 53
80 -19
-82 74
-60 -26
8 -68
-42 -61
-14 12
-58 -18
92 10
35 -26
71 64
76 89
-80 6
70 4
-96 -99
95 -80
-3 -22
71 -89
-75 17
-35 -82
-59 95
60 48
-74 50
-82 90
-26 5
-75 -31
-45 85
85 14
-70 -57
59 46
55 13
-23 60
...

output:

6657168.0928513119

result:

ok found '6657168.0928513', expected '6657168.1428534', error '0.0000000'

Test #4:

score: 0
Accepted
time: 93ms
memory: 3940kb

input:

-3013 5287 7654 9132
2000
-19 49
-17 -35
64 68
48 -49
-72 -14
29 -93
-13 -8
-80 11
39 88
-31 82
68 -66
5 41
-74 -8
0 15
11 34
69 -12
15 -86
5 -78
-48 73
10 9
-2 8
81 52
41 -43
-45 -41
-23 60
-40 -45
-26 27
-32 73
8 -20
2 91
46 17
51 -66
-65 -32
37 -9
58 63
-14 -31
60 -56
-85 -22
9 -66
-7 -53
-21 40
...

output:

10130702.6969146766

result:

ok found '10130702.6969147', expected '10130702.4940150', error '0.0000000'

Test #5:

score: 0
Accepted
time: 17ms
memory: 3944kb

input:

-5561 9559 6905 9930
2000
79 338
2 214
325 -193
-390 -157
-517 943
-759 970
449 901
-369 636
-661 -211
847 -558
223 -564
185 822
-656 -854
-991 -617
-422 -169
-63 -799
327 -911
-960 945
-948 831
-494 93
266 -299
139 -535
796 707
75 -146
10 566
72 -713
-132 -341
348 924
-739 -838
982 995
-445 500
-71...

output:

158891446.7153211832

result:

ok found '158891446.7153212', expected '158891446.6238778', error '0.0000000'

Test #6:

score: 0
Accepted
time: 914ms
memory: 3972kb

input:

-5245 -7558 1275 934
2000
-40 125
79 -30
49 13
-127 153
-151 -28
-82 -140
147 131
123 -105
-84 71
-49 -146
-140 82
57 172
-140 -32
-173 24
-55 -101
44 142
-68 -114
122 69
-137 66
19 199
31 109
-161 -66
63 -101
65 -114
166 -66
83 -162
60 70
-19 -134
15 161
-130 22
-130 50
8 -121
150 89
132 44
-131 -3...

output:

11172638.3202034216

result:

ok found '11172638.3202034', expected '11172638.2656236', error '0.0000000'

Test #7:

score: 0
Accepted
time: 17ms
memory: 3968kb

input:

-7167 6117 -3297 6866
2000
-346 -144
-227 169
-168 -373
-63 -227
-24 405
-232 -163
295 22
222 351
293 41
-335 260
-43 -426
-205 193
163 -284
-406 284
-202 -114
-339 -86
-413 17
-237 -394
-333 -145
-104 416
-478 -53
451 102
85 58
-124 -472
424 -88
394 243
-459 45
12 -490
-9 465
-159 -202
315 -272
-24...

output:

52361395.1715819761

result:

ok found '52361395.1715820', expected '52361392.5150275', error '0.0000001'

Test #8:

score: 0
Accepted
time: 1666ms
memory: 4000kb

input:

-6462 -5871 5937 5853
2000
386 236
-108 937
-722 354
-710 -475
462 613
-884 446
595 -675
168 394
-744 -551
761 -399
-688 258
-53 104
-614 -177
-273 -678
794 -15
224 -911
-146 -216
53 633
2 -664
202 -440
24 437
495 623
-297 682
-520 -48
598 720
-7 353
163 744
557 13
395 588
-157 -672
631 -705
-68 818...

output:

57605015.5359908268

result:

ok found '57605015.5359908', expected '57605018.8701164', error '0.0000001'

Test #9:

score: 0
Accepted
time: 45ms
memory: 3952kb

input:

792 4703 2923 5458
2000
7281 5289
-5154 2943
-8483 3113
9380 -576
-2191 -291
-8200 898
-192 4724
1161 441
34 3999
8544 3576
-5481 4273
-9792 9565
4854 1262
4254 -3376
-5778 9480
8631 -2225
7129 2187
5344 7740
2975 6174
-2919 -7172
7990 -5117
-6823 -7233
5020 5269
-9874 1051
8841 4586
-3612 -7483
644...

output:

1133083705.2161078453

result:

ok found '1133083705.2161078', expected '1133083681.5454702', error '0.0000000'

Test #10:

score: 0
Accepted
time: 14ms
memory: 3980kb

input:

-4075 7303 -1671 8073
2000
-10 305
-1105 -119
-238 205
-1206 -482
943 -89
-1578 223
-520 1158
21 1622
-621 -886
-163 -515
283 1802
36 -1410
213 -1921
-1539 -231
835 148
56 1448
-407 1653
1896 -533
1321 -437
530 172
132 18
1260 586
-363 -220
989 1353
281 -1907
-1116 -801
695 592
1221 -983
1731 -939
-...

output:

205950763.1642234623

result:

ok found '205950763.1642235', expected '205950762.7341621', error '0.0000000'

Test #11:

score: 0
Accepted
time: 54ms
memory: 3996kb

input:

2121 3865 3457 7582
2000
3902 -1511
-1817 504
-3515 3188
-4470 211
536 1795
2230 -1512
3979 297
2430 901
2368 2525
-2553 -252
476 2279
-3859 2565
-754 396
3358 2726
4787 -664
173 1056
-1154 -1556
-2442 -406
-1838 976
3785 1136
-131 -421
77 4058
3773 2965
1333 -622
4188 -2571
-624 -2051
-1965 4268
-1...

output:

399702016.0550903678

result:

ok found '399702016.0550904', expected '399702074.0540065', error '0.0000001'

Test #12:

score: 0
Accepted
time: 652ms
memory: 3996kb

input:

5377 -2525 9878 7241
2000
316 9854
1690 3184
-9795 -898
-7924 3181
-2410 1478
-3849 -8880
8447 -487
3826 -2478
1445 -2923
5459 677
8830 -3598
1045 -5139
7231 -6856
-4410 4982
-3180 -2528
-7891 -4137
6686 -3732
-6102 -1926
6562 5714
4562 -5710
223 -9921
2609 -3935
8187 55
-5017 -4465
-1387 -2695
6015...

output:

1061816937.1068747044

result:

ok found '1061816937.1068747', expected '1061816977.6676595', error '0.0000000'

Test #13:

score: 0
Accepted
time: 606ms
memory: 3908kb

input:

-3243 -8661 4122 -2937
2000
1 7637
0 1870
1 7982
-1 -391
0 -4347
-1 2035
0 -2623
0 6943
0 1511
0 -8789
-1 7213
1 -4998
1 -8958
1 -182
-1 -318
1 3712
0 -3215
1 -5210
1 6983
-1 -2567
1 -470
-1 7652
0 -2394
1 7196
1 280
1 5785
1 545
1 8779
1 1
1 -9675
1 5137
-1 -1160
1 -3955
0 3176
0 -6143
0 519
1 5678...

output:

791760943.5234919786

result:

ok found '791760943.5234920', expected '791760973.9585004', error '0.0000000'

Test #14:

score: 0
Accepted
time: 19ms
memory: 3992kb

input:

-4763 3483 5561 3747
2000
-3915 1
8391 -1
-4112 0
5453 -1
-8775 1
-2182 0
-3819 1
-2702 1
-7119 1
1279 0
7959 -1
-4345 0
-1024 1
-4853 -1
-2637 1
-2136 -1
-9603 -1
-5869 1
-1765 1
-3625 1
9255 0
4677 1
4660 -1
3250 1
-8156 -1
-2988 0
8492 1
-961 0
9331 -1
-1913 1
-3152 0
8877 -1
8390 0
3420 0
-7929 ...

output:

505361071.0875887871

result:

ok found '505361071.0875888', expected '505360943.9703766', error '0.0000003'

Test #15:

score: 0
Accepted
time: 209ms
memory: 3972kb

input:

-8627 -2766 -1956 4443
2000
-4 -9231
-6 -3132
4 176
1 8378
1 6264
-3 -9699
-10 -6369
-9 -4283
-7 7401
1 -1418
7 -5096
7 -7114
-4 -3937
2 5922
-1 6133
6 -8932
-6 3552
2 4767
9 7643
3 4129
4 2295
-5 8379
1 768
-10 -8915
5 4022
-6 -6665
4 4425
-3 6046
6 3827
-5 3831
-6 -6224
5 9807
9 11
5 4503
-6 -5911...

output:

448946373.9251971245

result:

ok found '448946373.9251971', expected '448946370.7927880', error '0.0000000'

Test #16:

score: 0
Accepted
time: 45ms
memory: 3932kb

input:

-4229 -9182 1776 -5186
2000
8444 3
3252 6
-7072 5
5793 -1
1339 2
-3500 6
-9676 -4
-1101 -8
-4997 7
462 -6
1476 7
-1331 9
561 -4
-951 -6
-466 -8
-8455 2
8033 -5
2982 9
-7803 6
8473 1
674 5
-7228 -1
-1891 -10
-3408 -7
-917 -8
9486 -5
355 9
1212 -4
3712 10
9106 1
9958 1
7446 -5
8816 -1
-1752 4
4285 0
-...

output:

438654071.0130849481

result:

ok found '438654071.0130849', expected '438654068.2184606', error '0.0000000'

Test #17:

score: 0
Accepted
time: 646ms
memory: 3940kb

input:

-6880 -3012 949 2588
2000
56 -2490
59 -8874
-90 7871
-48 9340
-29 -4546
72 1776
-22 -8437
-7 5228
6 -2206
89 -5714
71 -6149
44 8645
-17 -8800
19 -8446
-31 -1438
58 4422
-10 -6275
98 -7180
21 -3721
14 3061
-60 -2084
45 4628
-57 -7683
-19 -5389
97 4046
58 5141
-44 288
49 -3579
-39 -7224
94 5901
-68 -3...

output:

411858699.1149827242

result:

ok found '411858699.1149827', expected '411858700.0432993', error '0.0000000'

Test #18:

score: 0
Accepted
time: 151ms
memory: 3956kb

input:

2772 -6314 4903 4834
2000
-9330 45
1739 56
1062 -58
6549 -25
2178 88
-6106 -87
-6078 -75
-9429 58
2648 -27
-9516 52
9061 -9
-1775 -3
-6885 74
-4346 27
-1758 -95
-9196 87
-752 -98
1724 -24
825 8
-2431 18
-360 14
1472 52
8871 -71
7205 -39
-8033 -28
8724 8
-5197 -52
9320 -2
2849 -64
-968 -77
9867 100
3...

output:

605362227.3801751137

result:

ok found '605362227.3801751', expected '605362233.7529563', error '0.0000000'

Test #19:

score: 0
Accepted
time: 1082ms
memory: 3984kb

input:

-10000 -10000 10000 10000
2000
8592 4096
9271 1216
8596 5077
9077 1756
9059 3053
8744 4685
8509 4543
7828 4581
8975 2478
9394 2850
9194 3045
9532 1437
9290 1261
8175 4923
8485 4507
8166 4987
8578 4973
9548 2129
9018 3543
8136 5431
8830 2783
9636 2605
8589 2865
9617 1981
9427 1091
7817 5017
9129 1790...

output:

238108912.7037248611

result:

ok found '238108912.7037249', expected '238108908.6175798', error '0.0000000'

Test #20:

score: 0
Accepted
time: 1295ms
memory: 3984kb

input:

-10000 -10000 10000 10000
2000
6262 7501
9152 454
8076 5537
5939 7930
9638 2163
8615 4078
9554 1084
4352 8207
9578 1188
9456 406
8908 3352
5449 7414
8782 3668
8621 4472
9319 957
6598 6780
8818 2341
6747 7300
9941 555
7653 6219
9183 342
7768 5183
8604 4366
3084 8703
7005 6054
7108 6347
9604 498
9180 ...

output:

397620994.8123716116

result:

ok found '397620994.8123716', expected '397620990.0841421', error '0.0000000'

Test #21:

score: 0
Accepted
time: 1550ms
memory: 4000kb

input:

-10000 -10000 10000 10000
2000
1066 9157
9386 1781
6605 7086
2309 8912
9690 2029
7780 6101
-590 9528
9389 1295
7597 5489
9036 4111
6848 6367
5728 7783
8672 4455
7349 5754
9546 1194
391 9337
7748 5828
4912 8500
3010 8983
9877 1235
6371 6950
8942 4055
2111 9469
703 9760
7671 5156
7290 5623
-135 9974
8...

output:

554491818.6160175800

result:

ok found '554491818.6160176', expected '554491808.9394159', error '0.0000000'

Test #22:

score: 0
Accepted
time: 1556ms
memory: 3968kb

input:

-10000 -10000 10000 10000
2000
9179 3249
-7440 6141
1589 9872
-7325 6455
5681 8184
-5197 8181
-4609 8595
8619 4125
6442 6792
-3591 8889
9340 1215
4556 8497
8772 4168
-7033 6910
-6024 7886
9454 1423
2080 9352
799 9732
-1392 9561
-1456 9358
9027 2880
8692 3510
7747 6163
-4921 8380
9405 1846
9325 1029
...

output:

689400563.3663576841

result:

ok found '689400563.3663577', expected '689400531.7783850', error '0.0000000'

Test #23:

score: 0
Accepted
time: 1702ms
memory: 3972kb

input:

-10000 -10000 10000 10000
2000
-413 9522
8730 4470
3507 9168
5383 8069
8670 4427
-9308 3173
7997 5312
4959 8042
9698 943
7838 5266
-1664 9690
-8665 4435
-7997 5929
-8004 5304
6458 7586
1075 9349
-9665 1477
-9045 3807
-2560 9625
-9175 3732
-2041 9416
4209 8993
-4289 8826
-9394 2481
9442 2659
9358 241...

output:

801988314.3036115170

result:

ok found '801988314.3036115', expected '801988277.6448485', error '0.0000000'

Test #24:

score: 0
Accepted
time: 2219ms
memory: 3948kb

input:

-10000 -10000 10000 10000
2000
-8928 -3936
-6761 7287
-9682 -71
-8639 -3984
-9595 2735
293 9693
2163 9632
-8395 5266
69 9738
-7522 6527
-9270 -2254
1248 9688
-9575 -961
9627 1763
-9052 3587
-7114 6320
1541 9699
9483 1490
9715 929
9537 2145
9232 2774
-8662 4803
-2298 9383
-3408 8923
7113 6554
3071 91...

output:

876785980.4067941904

result:

ok found '876785980.4067942', expected '876785969.0384066', error '0.0000000'

Test #25:

score: 0
Accepted
time: 2167ms
memory: 3976kb

input:

-10000 -10000 10000 10000
2000
-9635 -653
-8720 -4280
-5995 7913
-9350 -2497
-5442 8109
-8247 -5020
-9214 3473
-9607 719
-9089 -3142
-9469 -1962
-9849 -106
9096 3352
-4680 -8597
9250 3140
9456 1742
-3524 8952
6527 7385
-1748 9791
-7220 -6715
9498 2723
4248 8776
-2148 9563
-8946 3525
-8594 -4460
-310...

output:

917958868.5716345310

result:

ok found '917958868.5716345', expected '917958796.4176416', error '0.0000001'

Test #26:

score: 0
Accepted
time: 2397ms
memory: 3956kb

input:

-10000 -10000 10000 10000
2000
-8424 4882
9874 1054
-7516 6283
5824 7919
-9492 2869
-8465 -5065
-7677 6023
9658 1194
-9032 -4038
-1597 9671
-6382 -7575
-7148 6793
-4487 8777
-4574 -8576
5921 7980
-7095 6804
9757 1960
-446 9756
9784 1908
2863 -9539
-860 9863
-9683 1374
-7696 6223
-8488 5254
-9338 262...

output:

949084942.5564858913

result:

ok found '949084942.5564859', expected '949084958.8186604', error '0.0000000'

Test #27:

score: 0
Accepted
time: 2293ms
memory: 4000kb

input:

-10000 -10000 10000 10000
2000
4185 -8886
7933 -5859
-9624 1869
5116 8492
7405 6679
-5390 8255
3698 -9149
-3048 -9443
-4420 8767
4593 8716
-186 9893
-654 9837
6586 7495
4835 8649
-6838 7288
-9548 2300
9526 2926
2929 9402
3564 9256
5371 8359
-9883 306
-9009 -4168
-6262 -7699
-7990 -5794
8096 5562
391...

output:

962273356.3376544714

result:

ok found '962273356.3376545', expected '962273357.4653347', error '0.0000000'

Test #28:

score: 0
Accepted
time: 2705ms
memory: 3916kb

input:

-10000 -10000 10000 10000
2000
-9661 -2487
-3295 -9339
6986 -7122
1152 9901
-7469 6523
-8947 4408
9954 641
-9417 -3097
-4042 9040
3350 9383
1721 -9757
5006 8565
-3414 9369
7563 6502
3795 -9153
7684 6358
2612 -9594
-2043 -9715
9761 -1880
-5955 -8019
-181 9958
8931 4398
-9859 -1329
-5689 8176
-7462 65...

output:

962639211.0699217319

result:

ok found '962639211.0699217', expected '962638552.4635112', error '0.0000007'

Test #29:

score: 0
Accepted
time: 4350ms
memory: 3984kb

input:

-10000 -10000 10000 10000
2000
8501 5255
-8375 5447
-35 -9991
1854 9816
9333 3581
8958 -4423
-6372 -7702
-293 9993
-1478 -9890
-8828 4676
1480 9885
-9766 -2134
-8209 5701
-8515 5226
-9521 -3051
-9975 -587
-6593 7507
2775 9596
-6945 7186
-368 9993
-4697 -8821
-9977 633
-8 9993
-7503 -6601
7996 5999
-...

output:

961606257.3084119558

result:

ok found '961606257.3084120', expected '961606219.6752908', error '0.0000000'

Test #30:

score: -100
Time Limit Exceeded

input:

-10000 -10000 10000 10000
2000
-4177 9085
709 -9974
-9702 2419
-9989 -450
-670 -9977
-8072 5901
-7972 -6036
8638 -5038
-9624 -2714
-9108 4127
6539 -7565
5370 -8435
8466 -5320
-6576 -7533
9035 4285
-5956 -8032
9068 -4215
4025 -9154
5545 8321
7320 -6812
-2950 -9554
8695 4939
9065 4221
3229 9464
-9897 ...

output:


result: