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package DynamicProgramming; /* * this is an important Algo in which * we have starting and ending of board and we have to reach * we have to count no. of ways * that help to reach end point i.e number by rolling dice * which have 1 to 6 digits Test Case: here target is 10 int n=10; startAlgo(); System.out.println(bpR(0,n)); System.out.println(endAlgo()+"ms"); int[] strg=new int [n+1]; startAlgo(); System.out.println(bpRS(0,n,strg)); System.out.println(endAlgo()+"ms"); startAlgo(); System.out.println(bpIS(0,n,strg)); System.out.println(endAlgo()+"ms"); */ public class BoardPath { public static long startTime; public static long endTime; public static void startAlgo() { startTime=System.currentTimeMillis(); } public static long endAlgo() { endTime=System.currentTimeMillis(); return endTime-startTime; } public static int bpR(int start,int end){ if(start==end) { return 1; } else if(start>end) return 0; int count=0; for(int dice=1;diceend) return 0; if(strg[curr]!=0) return strg[curr]; int count=0; for(int dice=1;dice=0;i--) { int count=0; for(int dice=1;dice

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