QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#227063 | #5433. Absolute Difference | ucup-team870 | TL | 107ms | 11780kb | C++17 | 3.5kb | 2023-10-26 20:48:02 | 2023-10-26 20:48:03 |
Judging History
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...