{"id":511,"date":"2021-07-13T17:44:33","date_gmt":"2021-07-13T17:44:33","guid":{"rendered":"https:\/\/www.wikitechy.com\/interview-questions\/?p=511"},"modified":"2021-09-13T06:19:14","modified_gmt":"2021-09-13T06:19:14","slug":"what-are-the-minimum-initial-points-to-reach-destination","status":"publish","type":"post","link":"https:\/\/www.wikitechy.com\/interview-questions\/data-structure\/what-are-the-minimum-initial-points-to-reach-destination\/","title":{"rendered":"What are the Minimum Initial Points to Reach Destination ?"},"content":{"rendered":"<div>\n<div class=\"hddn\">\n<h2 id=\"what-are-the-minimum-initial-points-to-reach-destination\" class=\"color-pink\" style=\"text-align: justify;\">What are the Minimum Initial Points to Reach Destination ?<\/h2>\n<\/div>\n<\/div>\n<div class=\"Content\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<ul>\n<li>To begin from the upper left corner of a given framework, one needs to achieve the base right corner.<\/li>\n<li>Every cell in the grid contains a number, the number may positive or negative.<\/li>\n<li>We can move across a cell only if we have positive points ( > 0 ). Whenever we pass through a cell, points in that cell are added to our overall points.<\/li>\n<li>We need to find minimum initial points to reach cell (m-1, n-1) from (0, 0) by following these certain set of rules :<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"Content\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>From a cell (i, j) we can move to (i+1, j) or (i, j+1).<\/li>\n<li>We cannot move from (i, j) if your overall points at (i, j) is <= 0.<\/li>\n<li>We have to reach at (n-1, m-1) with minimum positive points i.e., > 0.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"TextHeading\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<h2 id=\"syntax\" class=\"color-purple\">Syntax<\/h2>\n<\/div>\n<\/div>\n<div class=\"Output\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<figure class=\"highlight\">\n<pre><code class=\"hljs scss\" data-lang=\"\"><span class=\"nt\"><span class=\"hljs-function\">minInitTokens<\/span>(matrix) <\/span><\/code><\/pre>\n<\/figure>\n<\/div>\n<\/div>\n<div class=\"TextHeading\">\n<div class=\"hddn\">\n<h2 id=\"sample-code-in-c\" class=\"color-purple\" style=\"text-align: justify;\">Sample Code in C++<\/h2>\n<div class=\"code-embed-wrapper\"> <div class=\"code-embed-infos\"> <\/div> <pre class=\"language-cpp code-embed-pre line-numbers\"  data-start=\"1\" data-line-offset=\"0\"><code class=\"language-cpp code-embed-code\">#include<iostream><br\/>#include<cmath><br\/>#define ROW 3<br\/>#define COL 3<br\/>using namespace std;<br\/><br\/>int tokens[ROW][COL] = {<br\/>   {-2,-3,3},<br\/>   {-5,-10,1},<br\/>   {10,30,-5}<br\/>};<br\/><br\/>int max(int a, int b) {<br\/>   return (a>b)?a:b;<br\/>}<br\/><br\/>int minInitPoints() {<br\/>   int minToken[ROW][COL];<br\/>   int m = ROW, n = COL;<br\/>   <br\/>   minToken[m-1][n-1] = tokens[m-1][n-1] > 0? 1: abs(tokens[m-1][n-1]) + 1;<br\/>   <br\/>   for (int i = m-2; i >= 0; i--)    \/\/from last row to first row, fill points<br\/>      minToken[i][n-1] = max(minToken[i+1][n-1] - tokens[i][n-1], 1);<br\/>   <br\/>   for (int j = n-2; j >= 0; j--)    \/\/fill last column to first column, fill points<br\/>      minToken[m-1][j] = max(minToken[m-1][j+1] - tokens[m-1][j], 1);<br\/><br\/>   for (int i=m-2; i>=0; i--) {<br\/>      for (int j=n-2; j>=0; j--) {<br\/>         int remPoint = min(minToken[i+1][j], minToken[i][j+1]);    \/\/calculate remaining points<br\/>         minToken[i][j] = max(remPoint - tokens[i][j], 1);<br\/>      }<br\/>   }<br\/>   return minToken[0][0];<br\/>}<br\/><br\/>int main() {<br\/>   cout << &quot;Least Points Required: &quot; << minInitPoints();<br\/>}<\/code><\/pre> <\/div>\n<div class=\"TextHeading\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<h2 id=\"output\" class=\"color-purple\">Output<\/h2>\n<\/div>\n<\/div>\n<div class=\"Output\">\n<div class=\"hddn\">\n<figure class=\"highlight\" style=\"text-align: justify;\">\n<pre><code class=\"hljs\" data-lang=\"\"><span class=\"nt\">Least Points Required: 7<\/span><\/code><\/pre>\n<\/figure>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Answer : To begin from the upper left corner of a given 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