題目

• 給定n個非負整數a1，a2，...，an，其中每個表示座標（i，ai）處的點。
• 繪製n條垂直線，使得線i的兩個端點在（i，ai）和（i，0）處。
• 找到兩條線，它們與x軸一起形成一個容器，使得容器含有最多的水。

舉例：

Input：[1,3,5]
Output：3
輸入是[1,3,5]，那麼一共有三條垂直與x軸的直線，直線兩兩組合，面積最大為3。

如下圖所示：該陣列最終有了3條線：L1,L2,L3。最大容積，其實就是 L2 與 L3所形成的部分。

思路：

計算最大容器，其實就是通過角標的差值與最短直線相乘，取最大值。
容器面積 = Math.abs((i2 - i1) * (arr[i2] - arr[i1]))

程式碼

package algorithm5;

public class Algorithm5 {
	
	//output: 4
	static int[] test1 = new int[] {1,3,5}; 
	
	//output: 36
	static int[] test2 = new int[] {2,3,10,5,7,8,9};
	
	//output: 4913370
	static int[] test3 = new int[]{28,342,418,485,719,670,878,752,662,994,654
 
,504,929,660,424,855,922,744,600,229,728,33,371,863,561,772,271,178,455,449,426,835,143,845,321,214,867,199,967,881,193,973,386,122,633,810,330,907,906,282,136,986,315,860,849,229,632,473,759,87,922,185,922,418,382,243,632,250,795,599,131,988,924,869,463,558,680,145,465,938,427,954,925,94,814,126,323,798,599,434
 
,885,874,620,159,292,354,755,924,956,550,876,88,890,800,309,705,358,989,850,176,280,629,130,205,724,296,331,399,94,283,186,331,157,806,490,801,512,597,725,469,499,601,909,390,754,218,447,112,560,298,640,840,279,122,397,355,418,80,755,864,363,293,195,872,451,38,673,963,635,751,432,487,352,341,229,458,912,676,923,472,326,563,312,606,686,709,313,456,789,420,321,505,713,868,377,164,258,403,128,246,154,912,733,858,606,962,317,518,990,240,990,317,803,302,275,841,363,588,650,504,9,323,9,74,191,387,239,450,790,367,48,944,279,781,802,885,743,471,755,85,711,745,402,867,399,29,708,762,970,710,267,331,33,276,405,577,15,644,379,157,363,427,453,995,208,608,232,303,79,988,388,791,733,143,658,133,524,718,247,846,429,514,529,814,143,935,743,510,931,122,668,647,901,473,642,461,81,874,764,513,214,505,304,948,0,314,433,876,384,680,75,165,547,604,980,42,891,75,552,823,198,572,822,451,46,816,913,479,42,29,992,257,886,648,557,238,962,990,115,699,22,190,864,921,794,196,315,686,272,868,861,822,792,35,273,190,851,186,670,893,568,662,150,454,311,59,693,625,49,808,324,424,350,189,697,496,737,13,534,9,881,747,831,25,782,457,216,985,643,886,879,211,900,381,18,211,441,711,837,842,871,513,618,573,702,316,69,440,329,956,801,562,703,633,587,486,90,803,471,85,41,702,649,942,436,19,505,877,730,342,71,953,856,690,526,910,6,947,702,335,903,504,249,607,489,836,445,931,992,268,368,33,971,369,327,407,388,833,636,470,527,59,423,735,749,301,646,107,249,700,794,504,556,43,111,397,232,908,328,224,177,49,609,500,418,937,259,159,770,247,629,297,306,405,33,408,706,31,867,955,83,662,460,640,57,923,37,289,832,718,865,361,119,475,213,537,412,472,48,534,71,678,183,377,83,568,137,141,599,5,449,35,19,261,675,76,184,64,366,368,134,583,81,253,58,294,143,822,118,191,356,189,221,892,919,656,460,56,798,412,61,247,447,80,508,474,509,44,538,227,765,673,810,846,278,869,493,421,43,611,613,752,153,834,644,72,491,456,128,641,868,542,888,315,974,748,141,483,144,32,710,909,705,873,108,983,94,601,757,137,564,370,241,69,556,885,141,47,694,622,688,562,516,928,230,490,28,371,326,173,403,388,82,460,613,542,796,707,495,553,197,412,275,438,481,831,676,623,231,370,597,271,284,113,200,514,955,228,238,633,753,993,374,188,806,987,730,602,695,226,507,892,638,782,330,471,965,358,94,196,728,43,468,365,508,20,879,464,600,469,449,354,463,823,542,621,811,624,223,506,850,82,750,840,216,432,312,181,791,758,730,871,802,550,236,310,570,468,126,522,289,576,228,104,751,122,725,562,747,300,420,949,382,170,790,950,603,454,132,746,564,214,969,366,764,206,29,686,26,507,208,315,435,789,420,187,911,145,101,658,446,522,608,180,692,750,131,647,556,615,393,120,181,363,839,945,921,220,983,299,727,543,614,515,332,386,54,244,884,155,254,682,29,214,862,722,964,345,721,520,960,467,993,1