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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#227063#5433. Absolute Differenceucup-team870TL 107ms11780kbC++173.5kb2023-10-26 20:48:022023-10-26 20:48:03

Judging History

你现在查看的是最新测评结果

  • [2023-10-26 20:48:03]
  • 评测
  • 测评结果:TL
  • 用时:107ms
  • 内存:11780kb
  • [2023-10-26 20:48:02]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define rep(i,j,k) for(int i=j;i<=k;++i)
#define per(i,j,k) for(int i=j;i>=k;--i)
#define IOS {cin.tie(0);cout.tie(0);ios::sync_with_stdio(0);}
#define int long long
#define ll long long
#define P pair<int,int>
#define vi vector<int>
#define double long double
#define db double
const int N=1e5+5,inf=1e9+7;
int n,m,fl;
P a[N],b[N];
db s1[N],s2[N],mi; //len,mid*len
db lb[N];
db f1(int l1,int r1,int l2,int r2){  //l1>r2
    return ((l1+r1)/2.0-(l2+r2)/2.0)*(r1-l1)*(r2-l2);
}
db p3(db x){return x*x*x/3;}
db cal(int i,int j){
    if(fl){
        db l1=a[i].first,r1=a[i].second,l2=b[j].first;
        return (l2-l1)*(-l1+l2)/2+(r1-l2)*(r1-l2)/2;
    }
    db res=0;
    P ta=a[i],tb=b[j];
    if(ta.first<tb.first)swap(ta,tb);
    if(tb.second<ta.second){
        res+=f1(ta.first,ta.second,tb.first,ta.first);
        res+=f1(tb.second,ta.second,ta.first,tb.second);
        res+=p3(tb.second-ta.first);
    }
    else{
        res=f1(ta.first,ta.second,tb.first,ta.first)+f1(ta.second,tb.second,ta.first,ta.second)+p3(ta.second-ta.first);
    }
    return res;
}
bool crs(int i,int j){
    return (!(b[j].second<=a[i].first)) && (!(b[j].first>=a[i].second));
}
signed main(){
    IOS
    cout<<fixed<<setprecision(15);
    // cout<<2e9/3<<endl;
    cin>>n>>m;
    ll sa=0,sb=0;
    rep(i,1,n){
        cin>>a[i].first>>a[i].second; sa+=a[i].second-a[i].first;
    }
    rep(i,1,m){
        cin>>b[i].first>>b[i].second; sb+=b[i].second-b[i].first;
    }
    // if(a[2].first==-829)assert(sb);
    b[m+1].first=inf; b[0]={-inf,-inf};
    if(sa==0 && sb==0){
        rep(i,1,m)s2[i]=s2[i-1]+b[i].first;
        int L=0; db ans=0;
        sort(a+1,a+n+1); sort(b+1,b+m+1);
        rep(i,1,n){
            rep(j,1,m)ans+=abs(a[i].first-b[j].first);
        }
        // rep(i,1,n){
        //     while(b[L+1].first<=a[i].first)++L;
        //     ans+=1ll*a[i].first*L-s2[L] + s2[m]-s2[L]-1ll*a[i].first*(m-L);
        // }
        cout<<ans/(1.0*n*m);
        return 0;
    }
    if(sa==0){
        swap(n,m); swap(a,b); swap(sa,sb); 
    }
    sort(a+1,a+n+1); sort(b+1,b+m+1);
    if(sb!=0){
        rep(i,1,m)lb[i]=b[i].second-b[i].first;
    }
    else{
        sb=m; fl=1;
        rep(i,1,m)lb[i]=1;
    }
    rep(i,1,m){
        s1[i]=s1[i-1]+lb[i];
        s2[i]=s2[i-1]+lb[i]*(b[i].second+b[i].first+0.0)/2;
    }
    int L=0;
    db res=0;
    b[m+1].first=inf; b[0]={-inf,-inf};
    // cout<<n<<endl;
    // rep(i,1,n)cout<<a[i].first<<" "<<a[i].second<<endl;
    // rep(i,1,m)cout<<b[i].first<<" "<<b[i].second<<endl;
    rep(i,1,n){
        while(b[L+1].first<=a[i].first)++L;
        // cout<<L<<endl;
        int l;
        if(crs(i,L))l=L; else l=L+1;
        int r=l-1;
        while( crs(i,r+1) )++r;
        // cout<<l<<" "<<r<<endl; 
        // cout<<s2[m]-s2[r]<<" "<<s1[m]-s1[r]<<endl;
        mi=(a[i].first+a[i].second)/2.0;
        res+=( mi*s1[l-1] - s2[l-1])*(a[i].second-a[i].first);
        res+=(s2[m]-s2[r]- mi*(s1[m]-s1[r]) ) *(a[i].second-a[i].first);
        // cout<<res<<endl;
        rep(j,l,r)res+=cal(i,j);
        // cout<<res<<endl;
    }
    // cout<<res<<endl;
    cout<<res/(1.0*sa*sb);
}
/*
4 4
1 1
3 3 
7 7
9 9
0 2
2 5
6 8
10 11

144/32 != 147/32

3 1
5 5
9 9
7 7 
1 10

4 4
1 1
7 7 
3 3
9 9
3 3
4 4
7 7
8 8

2 3
3 6
7 9
1 4
5 8
9 10
2.771428

1 1
0 2
1 1

2 2
3 6
7 7
1 4
5 7

2 2
0 1
2 4
1 1
3 3
13/6

4 3
1 1
2 2
3 3
4 4
1 1
3 3
5 5
1.6666667

*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5904kb

input:

1 1
0 1
0 1

output:

0.333333333333333

result:

ok found '0.333333333', expected '0.333333333', error '0.000000000'

Test #2:

score: 0
Accepted
time: 1ms
memory: 5968kb

input:

1 1
0 1
1 1

output:

0.500000000000000

result:

ok found '0.500000000', expected '0.500000000', error '0.000000000'

Test #3:

score: 0
Accepted
time: 1ms
memory: 8024kb

input:

1 1
-1000000000 1000000000
-1000000000 1000000000

output:

666666666.666666666686069

result:

ok found '666666666.666666627', expected '666666666.666666627', error '0.000000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 7828kb

input:

1 1
-1000000000 0
0 1000000000

output:

1000000000.000000000000000

result:

ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 7076kb

input:

1 1
-1000000000 -1000000000
-1000000000 1000000000

output:

1000000000.000000000000000

result:

ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'

Test #6:

score: 0
Accepted
time: 1ms
memory: 7952kb

input:

1 1
-999999999 1000000000
-1000000000 -1000000000

output:

1000000000.500000000000000

result:

ok found '1000000000.500000000', expected '1000000000.500000000', error '0.000000000'

Test #7:

score: 0
Accepted
time: 0ms
memory: 5932kb

input:

1 1
-1000000000 1000000000
-999999999 -999999999

output:

999999999.000000000523869

result:

ok found '999999999.000000000', expected '999999999.000000000', error '0.000000000'

Test #8:

score: 0
Accepted
time: 1ms
memory: 5980kb

input:

1 1
1000000000 1000000000
-1000000000 -1000000000

output:

2000000000.000000000000000

result:

ok found '2000000000.000000000', expected '2000000000.000000000', error '0.000000000'

Test #9:

score: 0
Accepted
time: 1ms
memory: 8004kb

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:

6717.117145739453740

result:

ok found '6717.117145739', expected '6717.117145739', error '0.000000000'

Test #10:

score: 0
Accepted
time: 1ms
memory: 5852kb

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:

6682.581127471435668

result:

ok found '6682.581127471', expected '6682.581127471', error '0.000000000'

Test #11:

score: 0
Accepted
time: 2ms
memory: 7856kb

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:

6673.756816891039125

result:

ok found '6673.756816891', expected '6673.756816891', error '0.000000000'

Test #12:

score: 0
Accepted
time: 0ms
memory: 5988kb

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:

6479.384680000000000

result:

ok found '6479.384680000', expected '6479.384680000', error '0.000000000'

Test #13:

score: 0
Accepted
time: 0ms
memory: 6452kb

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:

65016.298634797616035

result:

ok found '65016.298634798', expected '65016.298634798', error '0.000000000'

Test #14:

score: 0
Accepted
time: 3ms
memory: 8492kb

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:

65683.869707087889005

result:

ok found '65683.869707088', expected '65683.869707088', error '0.000000000'

Test #15:

score: 0
Accepted
time: 3ms
memory: 9184kb

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:

67565.835344673239405

result:

ok found '67565.835344673', expected '67565.835344673', error '0.000000000'

Test #16:

score: 0
Accepted
time: 3ms
memory: 7968kb

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:

68329.270490000000002

result:

ok found '68329.270490000', expected '68329.270490000', error '0.000000000'

Test #17:

score: 0
Accepted
time: 13ms
memory: 10188kb

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:

634086.603017421562811

result:

ok found '634086.603017422', expected '634086.603017422', error '0.000000000'

Test #18:

score: 0
Accepted
time: 15ms
memory: 11092kb

input:

10 100000
934221 971862
-251602 -152935
105813 259309
-301967 -290235
-763282 -744289
445844 475617
-144934 4340
359403 385458
262854 351832
-710665 -692937
820128 820128
436541 436541
-25819 -25819
252335 252335
958484 958484
652451 652451
678026 678026
-439346 -439346
279913 279913
544864 544864
7...

output:

565818.115295723055908

result:

ok found '565818.115295723', expected '565818.115295723', error '0.000000000'

Test #19:

score: 0
Accepted
time: 16ms
memory: 11780kb

input:

100000 10
-103700 -103700
83578 83578
-898202 -898202
-685097 -685097
-213656 -213656
-145735 -145735
898557 898557
4286 4286
-48010 -48010
70529 70529
734485 734485
239485 239485
-703231 -703231
-378710 -378710
596807 596807
421467 421467
-634867 -634867
813096 813096
-285744 -285744
496159 496159
...

output:

666656.311518359857985

result:

ok found '666656.311518360', expected '666656.311518360', error '0.000000000'

Test #20:

score: 0
Accepted
time: 18ms
memory: 8180kb

input:

100000 10
-522243 -522243
521529 521529
-80533 -80533
-13186 -13186
359930 359930
905205 905205
351967 351967
109916 109916
-331194 -331194
75817 75817
-696842 -696842
459057 459057
818912 818912
-865118 -865118
367903 367903
-947033 -947033
-611435 -611435
821124 821124
365222 365222
930370 930370
...

output:

664350.583891999999992

result:

ok found '664350.583892000', expected '664350.583892000', error '0.000000000'

Test #21:

score: 0
Accepted
time: 16ms
memory: 10448kb

input:

1000 100000
695517 695542
-92873 -92540
-441175 -440798
-262307 -262125
989370 989445
774599 776116
217889 218976
659321 659370
-985037 -984536
-937583 -936702
628123 629430
262516 264589
-567533 -567069
-800526 -799506
-551243 -550516
-446500 -445987
412624 412671
371916 372698
-148417 -148284
2092...

output:

665300.559994430660538

result:

ok found '665300.559994431', expected '665300.559994431', error '0.000000000'

Test #22:

score: 0
Accepted
time: 15ms
memory: 10184kb

input:

1000 100000
-605982 -605323
195847 196363
875269 875399
-182475 -179217
-395130 -394436
-707687 -703082
-814686 -814456
920351 920781
-510710 -510701
229860 233190
941364 941443
-993499 -991461
-587971 -586522
691331 692227
45472 45979
-522484 -522117
78182 78611
-238995 -238044
-49808 -49344
-29114...

output:

668400.718242814764437

result:

ok found '668400.718242815', expected '668400.718242815', error '0.000000000'

Test #23:

score: 0
Accepted
time: 19ms
memory: 11732kb

input:

100000 1000
-84555 -84555
-209614 -209614
578710 578710
293747 293747
-392909 -392909
692522 692522
873711 873711
-583901 -583901
213005 213005
-571924 -571924
-722718 -722718
-891567 -891567
259485 259485
397260 397260
-747747 -747747
-337960 -337960
159321 159321
509738 509738
793913 793913
-52712...

output:

663117.410865557338809

result:

ok found '663117.410865557', expected '663117.410865557', error '0.000000000'

Test #24:

score: 0
Accepted
time: 104ms
memory: 8448kb

input:

100000 1000
304051 304051
78396 78396
-11701 -11701
-801884 -801884
-741998 -741998
-985640 -985640
-97919 -97919
894765 894765
-906691 -906691
-757850 -757850
-704383 -704383
244583 244583
471782 471782
242647 242647
-719813 -719813
964046 964046
474988 474988
366664 366664
633242 633242
-417257 -4...

output:

663832.346312860000012

result:

ok found '663832.346312860', expected '663832.346312860', error '0.000000000'

Test #25:

score: 0
Accepted
time: 22ms
memory: 10932kb

input:

1000 100000
467226835 467360234
604952571 606299210
-423495990 -423165079
618010698 618654029
-299509407 -299372648
-520448933 -518514096
-630670309 -629638113
-297348099 -297274069
358382111 359372190
79026840 79733202
553842555 554500003
-812340207 -812186633
-121972281 -120998067
-273770987 -2735...

output:

667770120.512301255133934

result:

ok found '667770120.512301207', expected '667770120.512301207', error '0.000000000'

Test #26:

score: 0
Accepted
time: 21ms
memory: 10684kb

input:

1000 100000
400464424 401349233
812671839 812758217
-917750835 -917655369
843983440 844077178
61954165 62176453
-242975491 -241583879
-210111097 -208052980
-408749021 -408403973
-108891757 -108047513
-979374362 -978728953
-532799240 -528498877
551774491 552188984
771464515 771799584
334255133 336287...

output:

667872950.062587157881353

result:

ok found '667872950.062587142', expected '667872950.062587142', error '0.000000000'

Test #27:

score: 0
Accepted
time: 19ms
memory: 11732kb

input:

100000 1000
-182968966 -182968966
-414893833 -414893833
955081721 955081721
84668417 84668417
-559322955 -559322955
-240426255 -240426255
-599786141 -599786141
920154777 920154777
446171962 446171962
-864101686 -864101686
-441997453 -441997453
-834412146 -834412146
282111132 282111132
-463264297 -46...

output:

664257022.226481169753242

result:

ok found '664257022.226481199', expected '664257022.226481199', error '0.000000000'

Test #28:

score: 0
Accepted
time: 107ms
memory: 7424kb

input:

100000 1000
-517576107 -517576107
-568885194 -568885194
963212732 963212732
773681160 773681160
-133643186 -133643186
82367325 82367325
272385546 272385546
-382302493 -382302493
-749104660 -749104660
-320853413 -320853413
699139908 699139908
-70027636 -70027636
270070742 270070742
348693115 34869311...

output:

659661622.779487819992937

result:

ok found '659661622.779487848', expected '659661622.779487848', error '0.000000000'

Test #29:

score: 0
Accepted
time: 31ms
memory: 11732kb

input:

100000 100000
-63178 -63176
-89630 -89630
-74134 -74134
-5108 -5108
-97875 -97874
95713 95714
34739 34739
-87027 -87026
-84758 -84758
80148 80149
-71106 -71106
-93666 -93665
-83940 -83940
-97886 -97886
72286 72287
31805 31806
52366 52366
71977 71977
47737 47737
-32678 -32678
-84341 -84341
-31339 -31...

output:

66845.255309603126818

result:

ok found '66845.255309603', expected '66845.255309603', error '0.000000000'

Test #30:

score: 0
Accepted
time: 31ms
memory: 11672kb

input:

100000 100000
-20230 -20230
35054 35054
10250 10250
2300 2301
91109 91109
-48021 -48020
51018 51019
60826 60827
-49792 -49792
-37455 -37452
-17919 -17918
13678 13678
-26493 -26493
-61242 -61242
-68573 -68573
27028 27029
41194 41194
74591 74592
-60393 -60392
72895 72895
-8020 -8020
46347 46348
20366 ...

output:

66651.551234295358483

result:

ok found '66651.551234295', expected '66651.551234295', error '0.000000000'

Test #31:

score: 0
Accepted
time: 34ms
memory: 11660kb

input:

100000 100000
-68490 -68490
66859 66859
21657 21657
26460 26460
6869 6869
36764 36764
-71209 -71209
76646 76646
6482 6482
63562 63562
-4156 -4156
73435 73435
15761 15761
195 195
41795 41795
97119 97119
-96357 -96357
-6234 -6234
-62327 -62327
-43259 -43259
88651 88651
-43453 -43453
86681 86681
-70979...

output:

66633.910891748348071

result:

ok found '66633.910891748', expected '66633.910891748', error '0.000000000'

Test #32:

score: -100
Time Limit Exceeded

input:

100000 100000
77666 77666
-5371 -5371
-4849 -4849
4784 4784
53934 53934
53899 53899
19340 19340
-53887 -53887
67109 67109
-17231 -17231
-10990 -10990
-95519 -95519
-98661 -98661
3320 3320
-70036 -70036
-24894 -24894
93155 93155
-61524 -61524
-28025 -28025
62511 62511
-65140 -65140
-98693 -98693
-978...

output:


result: