A few days ago I started practicing in problem solving. I've picked projecteuler for this purpose.
I think it would be great to share some interesting solutions in my blog.
Problem 11. Largest product in a grid
Nothing special, just a good example to show you a complex "for" loop, nothing else.
So here is algorithm:
- Do loop through matrix, for each cell
- Calculate horizontal product and check if it's largest product for now
- Calculate vertical product and check if it's largest product for now
- Calculate Right diagonal and check if it's largest product for now
- Calculate left diagonal and check if it's largest product for now
using System; namespace LargestProductInGrid { public class Solver { private int largestProduct=Int32.MinValue; private const int SIZE=20; private const int COUNT=4; private int[,] m=new int[SIZE,SIZE] {{08, 02, 22, 97, 38, 15, 00, 40, 00, 75, 04, 05, 07, 78, 52, 12, 50, 77, 91, 08}, {49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 04, 56, 62, 00}, {81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 03, 49, 13, 36, 65}, {52, 70, 95, 23, 04, 60, 11, 42, 69, 24, 68, 56, 01, 32, 56, 71, 37, 02, 36, 91}, {22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80}, {24, 47, 32, 60, 99, 03, 45, 02, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50}, {32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70}, {67, 26, 20, 68, 02, 62, 12, 20, 95, 63, 94, 39, 63, 08, 40, 91, 66, 49, 94, 21}, {24, 55, 58, 05, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72}, {21, 36, 23, 09, 75, 00, 76, 44, 20, 45, 35, 14, 00, 61, 33, 97, 34, 31, 33, 95}, {78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 03, 80, 04, 62, 16, 14, 09, 53, 56, 92}, {16, 39, 05, 42, 96, 35, 31, 47, 55, 58, 88, 24, 00, 17, 54, 24, 36, 29, 85, 57}, {86, 56, 00, 48, 35, 71, 89, 07, 05, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58}, {19, 80, 81, 68, 05, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 04, 89, 55, 40}, {04, 52, 08, 83, 97, 35, 99, 16, 07, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66}, {88, 36, 68, 87, 57, 62, 20, 72, 03, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69}, {04, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 08, 46, 29, 32, 40, 62, 76, 36}, {20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 04, 36, 16}, {20, 73, 35, 29, 78, 31, 90, 01, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 05, 54}, {01, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 01, 89, 19, 67, 48}}; public Solver () { } public int GetLargestProductInGrid() { int tmp=0; for(int i=0; i<SIZE; i++) for(int j=0; j<SIZE; j++) { tmp=this.HorizontalProduct(i,j); if(tmp>this.largestProduct) this.largestProduct=tmp; tmp=this.VerticalProduct(i,j); if(tmp>this.largestProduct) this.largestProduct=tmp; tmp=this.DiagonalRight(i,j); if(tmp>this.largestProduct) this.largestProduct=tmp; tmp=this.DiagonalLeft(i,j); if(tmp>this.largestProduct) this.largestProduct=tmp; } return this.largestProduct; } private int HorizontalProduct(int i, int j) { int result=1; for(int k=i; (k<i+COUNT &&k<SIZE); k++) result=result*m[j,k]; return result; } //[column, row] private int DiagonalRight(int i, int j) { int result=1; for (int n=i, k=j; (n<i+COUNT &&n<SIZE && k<j+COUNT &&k<SIZE); n++, k++) result=result*m[n,k]; return result; } //[column, row] private int DiagonalLeft(int i, int j) { int result=1; for (int n=i, k=j; (n>i-COUNT &&n<SIZE && n>0 && k<j+COUNT &&k<SIZE); n--, k++) result=result*m[n,k]; return result; } private int VerticalProduct(int i, int j) { int result=1; for(int k=i; (k<i+COUNT &&k<SIZE); k++) result=result*m[k,j]; return result; } } }
That's all, feel free post your comments.
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