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July 29, 2011 07:48
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Find maximum circumference of a triangles. An exercise of js
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// Triangle.js | |
// | |
// Pick up 3 side numbers a[i] to make a triangle from n numbers. | |
// Find the maximum circumference of triangles. | |
// | |
// Constraints : | |
// 3 <= n <= 100 | |
// 1 <= a[i] <= 10^6 | |
var TRI = {}; | |
TRI.solve = function (n, a) { | |
var ans = 0; | |
// i < j < k to prevent to pick same number | |
for (var i = 0; i < n; i++) { | |
for (var j = i + 1; j < n; j++) { | |
for (var k = j + 1; k < n; k++) { | |
var len = a[i] + a[j] + a[k]; | |
var longest = Math.max(a[i], a[j], a[k]); | |
var rest = len - longest; | |
// longest side a < b + c must be a triangle. | |
if (longest < rest) { | |
ans = Math.max(ans, len); | |
} | |
} | |
} | |
} | |
return ans; | |
}; | |
// Test 1 : n = 5, a = {2, 3, 4, 5, 10}, answer = 12 | |
// Test 2 : n = 4, a = {4, 5, 10, 20}, answer = 0 |
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