QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#678942 | #5667. Meeting Places | Forever_Young# | TL | 10ms | 10516kb | C++17 | 2.0kb | 2024-10-26 16:28:40 | 2024-10-26 16:28:44 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
double R,eps=1e-10;
struct P{double x,y;}a[2005],O;
double dis(P x,P y){return sqrt((x.x-y.x)*(x.x-y.x)+(x.y-y.y)*(x.y-y.y));}
P center(P x,P y,P z)
{
double a1=y.x-x.x,b1=y.y-x.y,
c1=(a1*a1+b1*b1)/2,a2=z.x-x.x,
b2=z.y-x.y,c2=(a2*a2+b2*b2)/2,
d=a1*b2-a2*b1;
return (P){x.x+(c1*b2-c2*b1)/d,x.y+(a1*c2-a2*c1)/d};
}
double cal(int n,P *b){
int i,j,k;
for(i=0;i<n;i++)a[i]=b[i];
for(i=0;i<n;i++)swap(a[rand()%n],a[i]);
for(O=a[0],R=0,i=1;i<n;i++)if(dis(a[i],O)>R+eps)
for(O=a[i],R=0,j=0;j<i;++j)if(dis(a[j],O)>R+eps){
O=(P){(a[i].x+a[j].x)/2,(a[i].y+a[j].y)/2},R=dis(O,a[i]);
for(k=0;k<j;k++)if(dis(a[k],O)>R+eps)O=center(a[k],a[j],a[i]),R=dis(O,a[i]);
}
return R;
}
P dot[2005];
double dp[2005][2005],pp[2005][2005];
int n,k;
long long x[2005],y[2005];
long long nxt(long long x){
return (x*233811181ll+1)%((1ll<<31)-1);
}
int main(){
srand(time(0));
scanf("%d%d%lld",&n,&k,&x[1]);
if (k>=n){
printf("0.0\n");
return 0;
}
y[1]=nxt(x[1]);
for (int i=2;i<=n;i++) {
x[i] = nxt(y[i - 1]);
y[i] = nxt(x[i]);
}
for (int i=0;i<n;i++) dot[i]={x[i+1],y[i+1]};
double final_res = 1e30;
if (1ll*n*n*k>=100000000) {
for (int i = 0; i + n - k + 1 - 1 < n; i++) {
double r = cal(n - k + 1, dot + i);
final_res = min(r, final_res);
}
} else{
for (int i=0;i<=n;i++)
for (int j=0;j<=k;j++) dp[i][j]=1e30;
dp[0][0]=0;
for (int i=0;i<n;i++)
for (int j=i+1;j<=n;j++) pp[i][j]=cal(j-i,dot+i);
for (int i=0;i<=n;i++)
for (int j=0;j<=min(i,k);j++)
for (int l=i+1;l<=n;l++) dp[l][j+1]=min(dp[l][j+1],dp[i][j]+pp[i][l]);
final_res=dp[n][k];
}
// 1319350480.8007326126
printf("%.10f\n",final_res);
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 9ms
memory: 8540kb
input:
100 23 213
output:
1319350480.8007326126
result:
ok found '1319350480.8007326', expected '1319350480.8007326', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 8044kb
input:
10 1 1060
output:
1042753143.3451676369
result:
ok found '1042753143.3451676', expected '1042753143.3451676', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
10 10 2373
output:
0.0
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 6072kb
input:
10 2 3396
output:
1236610536.9469230175
result:
ok found '1236610536.9469230', expected '1236610536.9469230', error '0.0000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 6084kb
input:
10 3 1998
output:
973790809.8224442005
result:
ok found '973790809.8224442', expected '973790809.8224442', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 6040kb
input:
10 4 562
output:
910867389.9069329500
result:
ok found '910867389.9069330', expected '910867389.9069330', error '0.0000000'
Test #7:
score: 0
Accepted
time: 1ms
memory: 6028kb
input:
10 5 6048
output:
818240814.7105149031
result:
ok found '818240814.7105149', expected '818240814.7105150', error '0.0000000'
Test #8:
score: 0
Accepted
time: 1ms
memory: 6060kb
input:
10 6 2524
output:
500106979.3467761874
result:
ok found '500106979.3467762', expected '500106979.3467762', error '0.0000000'
Test #9:
score: 0
Accepted
time: 1ms
memory: 6036kb
input:
10 7 5415
output:
559478971.4320058823
result:
ok found '559478971.4320059', expected '559478971.4320059', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 6100kb
input:
10 8 1438
output:
500309745.4627699852
result:
ok found '500309745.4627700', expected '500309745.4627700', error '0.0000000'
Test #11:
score: 0
Accepted
time: 1ms
memory: 6024kb
input:
10 9 3172
output:
162279748.8753451705
result:
ok found '162279748.8753452', expected '162279748.8753452', error '0.0000000'
Test #12:
score: 0
Accepted
time: 9ms
memory: 8488kb
input:
100 1 8316
output:
1320052902.1522903442
result:
ok found '1320052902.1522903', expected '1320052902.1522903', error '0.0000000'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3940kb
input:
100 100 4179
output:
0.0
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #14:
score: 0
Accepted
time: 6ms
memory: 8428kb
input:
100 12 3405
output:
1329687126.1304547787
result:
ok found '1329687126.1304548', expected '1329687126.1304548', error '0.0000000'
Test #15:
score: 0
Accepted
time: 10ms
memory: 10396kb
input:
100 16 8378
output:
1338056514.4842693806
result:
ok found '1338056514.4842694', expected '1338056514.4842694', error '0.0000000'
Test #16:
score: 0
Accepted
time: 9ms
memory: 10080kb
input:
100 2 1858
output:
1310392496.1430580616
result:
ok found '1310392496.1430581', expected '1310392496.1430581', error '0.0000000'
Test #17:
score: 0
Accepted
time: 9ms
memory: 8560kb
input:
100 25 4596
output:
1440464106.6229298115
result:
ok found '1440464106.6229298', expected '1440464106.6229298', error '0.0000000'
Test #18:
score: 0
Accepted
time: 8ms
memory: 8428kb
input:
100 3 5633
output:
1399621082.6142737865
result:
ok found '1399621082.6142738', expected '1399621082.6142738', error '0.0000000'
Test #19:
score: 0
Accepted
time: 9ms
memory: 10492kb
input:
100 32 7827
output:
1342073760.5322329998
result:
ok found '1342073760.5322330', expected '1342073760.5322330', error '0.0000000'
Test #20:
score: 0
Accepted
time: 10ms
memory: 10516kb
input:
100 4 3693
output:
1339808706.7098689079
result:
ok found '1339808706.7098689', expected '1339808706.7098689', error '0.0000000'
Test #21:
score: 0
Accepted
time: 8ms
memory: 8200kb
input:
100 5 2252
output:
1394874243.5057041645
result:
ok found '1394874243.5057042', expected '1394874243.5057042', error '0.0000000'
Test #22:
score: 0
Accepted
time: 9ms
memory: 10368kb
input:
100 50 4254
output:
1322809748.4052834511
result:
ok found '1322809748.4052835', expected '1322809748.4052832', error '0.0000000'
Test #23:
score: 0
Accepted
time: 4ms
memory: 10220kb
input:
100 6 53
output:
1364441356.1700987816
result:
ok found '1364441356.1700988', expected '1364441356.1700988', error '0.0000000'
Test #24:
score: 0
Accepted
time: 8ms
memory: 8180kb
input:
100 64 4337
output:
1180754550.2422838211
result:
ok found '1180754550.2422838', expected '1180754550.2422838', error '0.0000000'
Test #25:
score: 0
Accepted
time: 9ms
memory: 8248kb
input:
100 7 5366
output:
1423557626.3586795330
result:
ok found '1423557626.3586795', expected '1423557626.3586798', error '0.0000000'
Test #26:
score: 0
Accepted
time: 9ms
memory: 8152kb
input:
100 8 8509
output:
1353289305.3519952297
result:
ok found '1353289305.3519952', expected '1353289305.3519957', error '0.0000000'
Test #27:
score: 0
Accepted
time: 10ms
memory: 10444kb
input:
100 9 1423
output:
1228887266.5661668777
result:
ok found '1228887266.5661669', expected '1228887266.5661671', error '0.0000000'
Test #28:
score: 0
Accepted
time: 9ms
memory: 10488kb
input:
100 91 4806
output:
656574218.5086754560
result:
ok found '656574218.5086755', expected '656574218.5086756', error '0.0000000'
Test #29:
score: 0
Accepted
time: 9ms
memory: 10164kb
input:
100 92 4024
output:
794693428.6162238121
result:
ok found '794693428.6162238', expected '794693428.6162238', error '0.0000000'
Test #30:
score: 0
Accepted
time: 8ms
memory: 10440kb
input:
100 93 606
output:
677641787.4863121510
result:
ok found '677641787.4863122', expected '677641787.4863122', error '0.0000000'
Test #31:
score: 0
Accepted
time: 4ms
memory: 10060kb
input:
100 94 7265
output:
686423239.2626028061
result:
ok found '686423239.2626028', expected '686423239.2626028', error '0.0000000'
Test #32:
score: 0
Accepted
time: 9ms
memory: 10124kb
input:
100 95 8469
output:
328187125.9235950708
result:
ok found '328187125.9235951', expected '328187125.9235951', error '0.0000000'
Test #33:
score: 0
Accepted
time: 9ms
memory: 8560kb
input:
100 96 1079
output:
492964787.6259085536
result:
ok found '492964787.6259086', expected '492964787.6259086', error '0.0000000'
Test #34:
score: 0
Accepted
time: 6ms
memory: 8484kb
input:
100 97 5453
output:
258652807.7906565666
result:
ok found '258652807.7906566', expected '258652807.7906564', error '0.0000000'
Test #35:
score: 0
Accepted
time: 10ms
memory: 8496kb
input:
100 98 1778
output:
159490192.1188907027
result:
ok found '159490192.1188907', expected '159490192.1188908', error '0.0000000'
Test #36:
score: 0
Accepted
time: 9ms
memory: 10444kb
input:
100 99 1825
output:
33793756.3289980441
result:
ok found '33793756.3289980', expected '33793756.3289980', error '0.0000000'
Test #37:
score: -100
Time Limit Exceeded
input:
1000 1 2453