QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#634235#8242. V-Diagramcy325WA 74ms4088kbC++202.5kb2024-10-12 16:55:212024-10-12 16:55:21

Judging History

你现在查看的是最新测评结果

  • [2024-10-12 16:55:21]
  • 评测
  • 测评结果:WA
  • 用时:74ms
  • 内存:4088kb
  • [2024-10-12 16:55:21]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

void solve() {
    int n;
    scanf("%d", &n);
    vector<long long> a(n + 2); 
    a[0] = LLONG_MAX;
    a[n + 1] = LLONG_MAX;

    for (int i = 1; i <= n; i++) {
        scanf("%lld", &a[i]);
    }

    // 找到 V 图的最低点(即转折点)
    int tip = -1;
    for (int i = 2; i <= n - 1; i++) {
        if (a[i - 1] > a[i] && a[i] < a[i + 1]) {
            tip = i;
            break;
        }
    }

    if (tip == -1) {
        // 如果没有找到转折点,整个序列可能是单调的,但根据题目保证,这种情况不会发生
        tip = 1;
    }

    double maxAvg = a[tip]; // 初始化最大平均值为 tip 位置的元素值
    long long sum = a[tip];
    int len = 1;

    // 从 tip 开始,向右扩展
    int r = tip;
    while (r + 1 <= n && a[r + 1] > a[r]) {
        r++;
        sum += a[r];
        len++;
        double avg = (double)sum / len;
        if (avg > maxAvg) {
            maxAvg = avg;
        }
    }

    // 重置 sum 和 len
    sum = a[tip];
    len = 1;

    // 从 tip 开始,向左扩展
    int l = tip;
    while (l - 1 >= 1 && a[l - 1] > a[l]) {
        l--;
        sum += a[l];
        len++;
        double avg = (double)sum / len;
        if (avg > maxAvg) {
            maxAvg = avg;
        }
    }

    // 同时向两侧扩展
    sum = a[tip];
    len = 1;
    l = tip;
    r = tip;
    while (true) {
        bool moved = false;

        // 尝试向右扩展
        if (r + 1 <= n && a[r + 1] > a[r]) {
            r++;
            sum += a[r];
            len++;
            double avg = (double)sum / len;
            if (avg > maxAvg) {
                maxAvg = avg;
            }
            moved = true;
        }

        // 尝试向左扩展
        if (l - 1 >= 1 && a[l - 1] > a[l]) {
            l--;
            sum += a[l];
            len++;
            double avg = (double)sum / len;
            if (avg > maxAvg) {
                maxAvg = avg;
            }
            moved = true;
        }

        if (!moved) {
            break;
        }
    }

    // 考虑整个序列
    sum = 0;
    for (int i = 1; i <= n; i++) {
        sum += a[i];
    }
    double avg = (double)sum / n;
    if (avg > maxAvg) {
        maxAvg = avg;
    }

    // 输出结果,保证精度
    printf("%.10f\n", maxAvg);
}

int main() {
    int t;
    scanf("%d", &t);
    while (t--) solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3800kb

input:

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

output:

6.7500000000
5.8333333333

result:

ok 2 numbers

Test #2:

score: -100
Wrong Answer
time: 74ms
memory: 4088kb

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:

843938490.0000000000
454252473.5000000000
770302316.6666666269
608562705.0000000000
296293261.6666666865
365718784.0000000000
571816312.6666666269
237830983.0000000000
45613183.0000000000
474479951.5000000000
742247812.0000000000
779975824.3333333731
503399231.5000000000
645879534.5000000000
4327618...

result:

wrong answer 1st numbers differ - expected: '833782882.6666666', found: '843938490.0000000', error = '0.0121802'