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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#588123#8242. V-Diagramq_zhsWA 84ms3848kbC++172.0kb2024-09-25 01:45:442024-09-25 01:45:46

Judging History

你现在查看的是最新测评结果

  • [2024-09-25 01:45:46]
  • 评测
  • 测评结果:WA
  • 用时:84ms
  • 内存:3848kb
  • [2024-09-25 01:45:44]
  • 提交

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'