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+/*
+Challenge 117
+
+TASK #2 - Find Possible Paths
+Submitted by: E. Choroba
+You are given size of a triangle.
+
+Write a script to find all possible paths from top to the bottom right
+corner.
+
+In each step, we can either move horizontally to the right (H), or move
+downwards to the left (L) or right (R).
+
+BONUS: Try if it can handle triangle of size 10 or 20.
+
+Example 1:
+Input: $N = 2
+
+           S
+          / \
+         / _ \
+        /\   /\
+       /__\ /__\ E
+
+Output: RR, LHR, LHLH, LLHH, RLH, LRH
+Example 2:
+Input: $N = 1
+
+           S
+          / \
+         / _ \ E
+
+Output: R, LH
+*/
+
+#include <iostream>
+#include <string>
+using namespace std;
+
+string separator = "";
+
+void find_paths(int size, const string& path, int row, int col) {
+    if (row == size && col == size) {   // reached end
+        cout << separator << path;
+        separator = ", ";
+    }
+    else {  // recurse
+        if (row < size) {
+            find_paths(size, path + "L", row + 1, col);
+            find_paths(size, path + "R", row + 1, col + 1);
+        }
+        if (col < row) {
+            find_paths(size, path + "H", row, col + 1);
+        }
+    }
+}
+
+int main(int argc, char* argv[]) {
+    int size = 1;
+    if (argc == 2) size = atoi(argv[1]);
+    find_paths(size, "", 0, 0);
+    cout << endl;
+}