Merge pull request #152 from sir-gon/problem0011-refactor

[REFACTOR] problem0011 complexity reduced.

Author: sir-gon

src/projecteuler/problem0011.ts

@@ -2,81 +2,35 @@ import { logger as console } from '../logger';
 import { maximum } from './helpers';
 
 function problem0011(_squareMatrix: number[][], _interval: number): number {
-  const top = _squareMatrix.length;
-
   let max = 0;
-  let acum;
-
-  for (let i = 0; i < top; i++) {
-    for (let j = 0; j < top; j++) {
-      acum = 1;
 
-      if (i < top - (_interval - 1)) {
+  const quadrantSize = _interval;
+  const matrixLimit = _squareMatrix.length - (_interval - 1);
+
+  for (let i = 0; i < matrixLimit; i++) {
+    for (let j = 0; j < matrixLimit; j++) {
+      let verticalAcum = 1;
+      let horizontalAcum = 1;
+      let diag1Acum = 1;
+      let diag2Acum = 1;
+      console.debug(`start point: i ${i}, j: ${j}`);
+      for (let k = 0; k < quadrantSize; k++) {
+        console.debug(`vertical coordinate: (i, j) = (${i + k}, ${j})`);
+        console.debug(`horizontal coordinate: (i, j) = ($i}, ${j + k})`);
+        console.debug(`diag1 coordinate: (i, j) = (${i + k}, ${j + k})`);
         console.debug(
-          `---- VERTICAL ------------------------------------------`
+          `diag2 coordinate: (i, j) = (${i + k}, ${j + (quadrantSize - 1) - k})`
         );
-        // vertical
-        for (let k = 0; k < _interval; k++) {
-          console.debug(
-            `row: i ${i + k}, column: ${j}, _interval ${k} => ${
-              _squareMatrix[i + k][j]
-            }`
-          );
-
-          acum *= _squareMatrix[i + k][j];
-        }
-
-        max = maximum(acum, max);
-      }
 
-      acum = 1;
-      if (j < top - (_interval - 1)) {
-        console.debug(
-          `---- HORIZONTAL ----------------------------------------`
-        );
-        // horizontal
-        for (let k = 0; k < _interval; k++) {
-          console.debug(
-            `row: i ${i}, column: ${j + k} => ${_squareMatrix[i][j + k]}`
-          );
-          acum *= _squareMatrix[i][j + k];
-        }
-
-        max = maximum(acum, max);
-      }
-
-      acum = 1;
-      if (i + (_interval - 1) < top && j + (_interval - 1) < top) {
-        // diagonal top left -> bottom right
-        console.debug(
-          `---- DIAG \\ ---------------------------------------------`
-        );
-        for (let k = 0; k < _interval; k++) {
-          console.debug(
-            `diag: (${i + k}, ${j + k}) => ${_squareMatrix[i + k][j + k]}`
-          );
-          acum *= _squareMatrix[i + k][j + k];
-        }
-
-        max = maximum(acum, max);
-      }
-
-      acum = 1;
-      if (i + (_interval - 1) < top && j + (_interval - 1) < top) {
-        // diagonal top rigth -> bottom left
-        console.debug(
-          `---- DIAG / ---------------------------------------------`
-        );
-        for (let k = 0; k < _interval; k++) {
-          console.debug(
-            `diag: (${i + k}, ${j + (_interval - 1) - k}) => ${
-              _squareMatrix[i + k][j + (_interval - 1) - k]
-            }`
-          );
-          acum *= _squareMatrix[i + k][j + (_interval - 1) - k];
-        }
+        verticalAcum *= _squareMatrix[i + k][j];
+        horizontalAcum *= _squareMatrix[i][j + k];
+        diag1Acum *= _squareMatrix[i + k][j + k];
+        diag2Acum *= _squareMatrix[i + k][j + (quadrantSize - 1) - k];
 
-        max = maximum(acum, max);
+        max = maximum(verticalAcum, max);
+        max = maximum(horizontalAcum, max);
+        max = maximum(diag1Acum, max);
+        max = maximum(diag2Acum, max);
       }
     }
   }