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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#588123 | #8242. V-Diagram | q_zhs | WA | 84ms | 3848kb | C++17 | 2.0kb | 2024-09-25 01:45:44 | 2024-09-25 01:45:46 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
int t;
cin >> t;
while(t--){
int n;
cin >> n;
vector<long long> a(n+1, 0);
for(int i=1;i<=n;i++) cin >> a[i];
// Compute left[i]: length of strictly decreasing sequence ending at i
vector<int> left(n+1, 1);
for(int i=2;i<=n;i++){
if(a[i-1] > a[i]){
left[i] = left[i-1] +1;
}
else{
left[i] =1;
}
}
// Compute right[i]: length of strictly increasing sequence starting at i
vector<int> right(n+1,1);
for(int i=n-1;i>=1;i--){
if(a[i] < a[i+1]){
right[i] = right[i+1] +1;
}
else{
right[i] =1;
}
}
// Compute prefix_sum
vector<long long> prefix_sum(n+1, 0);
for(int i=1;i<=n;i++) prefix_sum[i] = prefix_sum[i-1] + a[i];
double max_avg = -1e18; // Initialize to a very small number
for(int i=1;i<=n;i++){
if(left[i] >=2 && right[i] >=2){
int L = i - left[i] +1;
int R = i + right[i] -1;
if(L <1) L=1;
if(R >n) R=n;
// Ensure that [L, R] is a V-diagram
// Since left and right arrays ensure that up to i it's decreasing and from i it's increasing
// Thus, [L, R] is a V-diagram
long long sum = prefix_sum[R] - prefix_sum[L-1];
int len = R - L +1;
double avg = (double)sum / len;
if(avg > max_avg){
max_avg = avg;
}
}
}
// Print with 12 decimal digits
cout << fixed << setprecision(12) << max_avg << "\n";
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3840kb
input:
2 4 8 2 7 10 6 9 6 5 3 4 8
output:
6.750000000000 5.833333333333
result:
ok 2 numbers
Test #2:
score: 0
Accepted
time: 84ms
memory: 3848kb
input:
100000 3 948511478 739365502 813471668 3 881046825 27458122 398507422 3 987554257 399092415 924260278 3 984128569 125199021 716360525 3 529589236 45783262 313507287 3 645443456 85994112 226010681 3 914820717 228360911 572267310 3 418958362 56703604 195276041 3 64461646 26764720 26995581 3 914535039 ...
output:
833782882.666666626930 435670789.666666686535 770302316.666666626930 608562705.000000000000 296293261.666666686535 319149416.333333313465 571816312.666666626930 223646002.333333343267 39407315.666666664183 383253737.666666686535 734363638.666666626930 779975824.333333373070 490276408.333333313465 57...
result:
ok 100000 numbers
Test #3:
score: -100
Wrong Answer
time: 27ms
memory: 3828kb
input:
10000 4 194123849 79274911 191162487 570110764 86 957917218 915359202 914726017 873273226 867724859 867674150 809652204 805531383 745262007 743835491 727071232 714782071 645394643 639432679 594879540 587173904 583418126 560538589 518721836 469558994 427721766 411582333 404948350 402948978 357228675 ...
output:
258668002.750000000000 499947495.383720934391 495489050.352941155434 511519421.863013684750 472025965.699999988079 543693608.250000000000 543366581.516129016876 254833443.199999988079 395528440.974358975887 502458665.384615361691 564217787.333333373070 479468115.118279576302 466246020.204545438290 5...
result:
wrong answer 2nd numbers differ - expected: '527118856.7555556', found: '499947495.3837209', error = '0.0515469'