Morris' Blog 我在摸索我存在的意義、生命的意義、內涵及價值。 沒有真正神手般的厲害，套用模式是大部分的情況。 沒那麼厲害的我存在的意義為何，襯托出神的存在？ 有時候不能怪別人不給我機會，我已經開始省思， 為什麼我沒有給別人機會的原因，而是全要靠別人。 有時候我認為我與眾不同，那是因為我做不到很多人能辦到的事情。 我聽不到、玩不起來、說得不夠明瞭、理解得不夠多， 我缺少的語文能力，就是一切一切無能的判定。 為此，我不曉得能做些對別人有幫助的事情。 我知道我自己是個不服輸的性格，但現在我不得不認輸。 我沒有能力，因此我必須認輸。 我到底來這世界作什麼？處處充滿不確定性， 而我總是無法出類拔萃，想當個一般人似乎也回不了頭了。 越強大的挑戰需要越強力的支持，而我的支持是什麼？ 最近嘗試與人談話，但都是失敗的結局，沒人能接受， 不需要言語，不需要溝通，一切所想都表達不出來。

49愛的鼓勵 6訂閱站台

Problem E: Colourful Flowers
Time limit: 10 seconds

"Roses are red, violets are blue..."

Millionaire Mr Smith is well-known -- not for his wealth, but for his odd sense of "art"... Mr Smith has got a circular garden. On the boundary he picks three points and gets a triangle. He then finds the largest circle in that triangular region. So he gets something like this (Please click here for a black-and-white version of the figure):

Mr Smith then plants yellow sunflowers, blue violets and red roses in the way shown in the figure. (Nice combination, eh? :-) Given the lengths of the three sides of the triangle, you are to find the areas of the regions with each kind of flowers respectively.

Input and Output

Each line of input contains three integers a, b, c, the lengths of the three sides of the triangular region, with 0 < a ≤ b ≤ c ≤ 1000.

For each case, your program should output the areas of the regions with sunflowers, with violets and with roses respectively. Print your answers correct to 4 decimal places.

Sample Input

3 4 5

Sample Output

13.6350 2.8584 3.1416

---

Problemsetter: Mak Yan Kei

#include <stdio.h>
#include <math.h>

int main() {
    long long a, b, c;
    while(scanf("%lld %lld %lld", &a, &b, &c) == 3) {
        double roses, violets, sunflowers;
        double r, R, s = (a+b+c)/2.0;
        violets = sqrt(s*(s-a)*(s-b)*(s-c));
        r = violets*2/(double)(a+b+c);
        roses = r*r*acos(-1);
        R = a*b*c / 4.0 / violets;
        sunflowers = R*R * acos(-1) - violets;
        violets -= roses;
        printf("%.4lf %.4lf %.4lf\n", sunflowers, violets, roses);

    }
    return 0;
}