Ankur has N magic sticks, each of some length. All magic sticks are of fixed length...
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Ankur has N magic sticks, each of some length. All magic sticks are of fixed length and cannot be broken. Now Ankur wants to build a square using exactly 6 of those magic sticks. Now Ankur wonders in how many ways he can build a square using exactly 6 magic sticks. Help him to find the number of ways. Note: Two ways are considered different if they use at least one different stick. INPUT The first line contains an integer N, denoting the number of sticks. The second line contains N space-separated integers L, L2,..., Ln denoting the length of magic sticks. OUTPUT Output an integer representing the number of ways that 6 magic sticks can be used to make a Square CONSTRAINTS 6sN3000 1sLis10^7 EXPLANATION OF SAMPLE Sample input has 8 sticks of lengths 45151945 respectively. There are 3 ways of making a square using of combination of 6 of these sticks. Combination 1: Stick No. 1, 2, 3, 4, 5 and 7 Combination 2: Stick No. 1, 3, 4, 5, 7 and 8 Combination 3: Stick No. 1, 2, 3, 5, 7 and 8 Hence, the output for this sample case is 3. Sample Input 45151945 Sample Output 3 Ankur has N magic sticks, each of some length. All magic sticks are of fixed length and cannot be broken. Now Ankur wants to build a square using exactly 6 of those magic sticks. Now Ankur wonders in how many ways he can build a square using exactly 6 magic sticks. Help him to find the number of ways. Note: Two ways are considered different if they use at least one different stick. INPUT The first line contains an integer N, denoting the number of sticks. The second line contains N space-separated integers L, L2,..., Ln denoting the length of magic sticks. OUTPUT Output an integer representing the number of ways that 6 magic sticks can be used to make a Square CONSTRAINTS 6sN3000 1sLis10^7 EXPLANATION OF SAMPLE Sample input has 8 sticks of lengths 45151945 respectively. There are 3 ways of making a square using of combination of 6 of these sticks. Combination 1: Stick No. 1, 2, 3, 4, 5 and 7 Combination 2: Stick No. 1, 3, 4, 5, 7 and 8 Combination 3: Stick No. 1, 2, 3, 5, 7 and 8 Hence, the output for this sample case is 3. Sample Input 45151945 Sample Output 3
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