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+/*
+TASK #2 > Triangle Sum
+Submitted by: Mohammad S Anwar
+You are given triangle array.
+
+Write a script to find the minimum path sum from top to bottom.
+
+When you are on index i on the current row then you may move to either
+index i or index i + 1 on the next row.
+
+Example 1:
+Input: Triangle = [ [1], [2,4], [6,4,9], [5,1,7,2] ]
+Output: 8
+
+Explanation: The given triangle
+
+ 1
+ 2 4
+ 6 4 9
+ 5 1 7 2
+
+The minimum path sum from top to bottom: 1 + 2 + 4 + 1 = 8
+
+ [1]
+ [2] 4
+ 6 [4] 9
+ 5 [1] 7 2
+Example 2:
+Input: Triangle = [ [3], [3,1], [5,2,3], [4,3,1,3] ]
+Output: 7
+
+Explanation: The given triangle
+
+ 3
+ 3 1
+ 5 2 3
+ 4 3 1 3
+
+The minimum path sum from top to bottom: 3 + 1 + 2 + 1 = 7
+
+ [3]
+ 3 [1]
+ 5 [2] 3
+ 4 3 [1] 3
+*/
+
+#include <iostream>
+#include <vector>
+#include <cassert>
+#include <cctype>
+
+#define MIN(a,b) ((a)<(b)?(a):(b))
+
+// triangle (stored as a square)
+class Triangle {
+public:
+ bool parse(int argc, char* argv[]) {
+ for (int row = 0; row < argc; row++) {
+ add_row();
+ if (!parse_row(row, argv[row]))
+ return false;
+ }
+ return true;
+ }
+
+ int min_sum() {
+ return min_sum_1(0, 0, 0);
+ }
+
+private:
+ std::vector<std::vector<int>> m_data;
+
+ void add_row() {
+ int rows = static_cast<int>(m_data.size()) + 1;
+ m_data.resize(rows);
+ for (int i = 0; i < rows; i++)
+ m_data[i].resize(rows);
+ }
+
+ bool parse_row(int row, const char* text) {
+ int rows = static_cast<int>(m_data.size());
+ assert(row >= 0 && row < rows);
+ for (int i = 0; i < rows; i++) {
+ while (*text && !isdigit(*text)) text++;
+ if (!isdigit(*text))
+ return false;
+ m_data[row][i] = atoi(text);
+ while (*text && isdigit(*text)) text++;
+ }
+ return true;
+ }
+
+ int min_sum_1(int sum, int row, int col) {
+ sum += m_data[row][col];
+ int rows = static_cast<int>(m_data.size());
+ if (row + 1 == rows)
+ return sum;
+ else {
+ int sum1 = min_sum_1(sum, row + 1, col);
+ int sum2 = min_sum_1(sum, row + 1, col + 1);
+ return MIN(sum1, sum2);
+ }
+ }
+};
+
+int main(int argc, char* argv[]) {
+ if (argc == 1) {
+ fputs("Usage: ch-2 row row ...", stderr);
+ return EXIT_FAILURE;
+ }
+ argc--; argv++;
+ Triangle triangle;
+ if (!triangle.parse(argc, argv)) {
+ fputs("Malformed triangle", stderr);
+ return EXIT_FAILURE;
+ }
+ int sum = triangle.min_sum();
+ std::cout << sum << std::endl;
+}