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2 changes: 1 addition & 1 deletion .github/workflows/Ci.yml
Original file line number Diff line number Diff line change
Expand Up @@ -25,7 +25,7 @@ jobs:
run: npm run test

- name: 💄 Code style
run: npm run style
run: npm run check-style

codespell:
name: Check for spelling errors
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24 changes: 12 additions & 12 deletions Backtracking/MColoringProblem.js
Original file line number Diff line number Diff line change
Expand Up @@ -6,44 +6,44 @@
* @see https://en.wikipedia.org/wiki/Graph_coloring
*/
function mColoring(graph, m) {
const colors = new Array(graph.length).fill(0);
const colors = new Array(graph.length).fill(0)

// Check if it's safe to color a vertex with a given color.
function isSafe(vertex, color) {
for (let i = 0; i < graph.length; i++) {
if (graph[vertex][i] && colors[i] === color) {
return false;
return false
}
}
return true;
return true
}

// Use backtracking to try and color the graph.
function solveColoring(vertex = 0) {
if (vertex === graph.length) {
return true;
return true
}

for (let color = 1; color <= m; color++) {
if (isSafe(vertex, color)) {
colors[vertex] = color;
colors[vertex] = color

if (solveColoring(vertex + 1)) {
return true;
return true
}

// If no solution, backtrack.
colors[vertex] = 0;
colors[vertex] = 0
}
}
return false;
return false
}

// If coloring is possible, return the colors.
if (solveColoring()) {
return colors;
return colors
}
return null;
return null
}

export { mColoring };
export { mColoring }
20 changes: 10 additions & 10 deletions Backtracking/tests/MColoringProblem.test.js
Original file line number Diff line number Diff line change
@@ -1,23 +1,23 @@
import { mColoring } from '../MColoringProblem';
import { mColoring } from '../MColoringProblem'

describe('MColoringProblem', () => {
it('should color a triangle with 3 colors', () => {
const graph = [
[0, 1, 1],
[1, 0, 1],
[1, 1, 0]
];
const solution = mColoring(graph, 3);
expect(solution).not.toBeNull();
});
]
const solution = mColoring(graph, 3)
expect(solution).not.toBeNull()
})

it('should not color a triangle with 2 colors', () => {
const graph = [
[0, 1, 1],
[1, 0, 1],
[1, 1, 0]
];
const solution = mColoring(graph, 2);
expect(solution).toBeNull();
});
});
]
const solution = mColoring(graph, 2)
expect(solution).toBeNull()
})
})
1 change: 1 addition & 0 deletions DIRECTORY.md
Original file line number Diff line number Diff line change
Expand Up @@ -10,6 +10,7 @@
* [SumOfSubset](Backtracking/SumOfSubset.js)
* **Bit-Manipulation**
* [BinaryCountSetBits](Bit-Manipulation/BinaryCountSetBits.js)
* [GenerateSubSets](Bit-Manipulation/GenerateSubSets.js)
* [GrayCodes](Bit-Manipulation/GrayCodes.js)
* [IsPowerofFour](Bit-Manipulation/IsPowerofFour.js)
* [IsPowerOfTwo](Bit-Manipulation/IsPowerOfTwo.js)
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1 change: 1 addition & 0 deletions package.json
Original file line number Diff line number Diff line change
Expand Up @@ -7,6 +7,7 @@
"test": "vitest run",
"test-watch": "vitest",
"style": "npx prettier . --write",
"check-style": "npx prettier . --check",
"prepare": "husky install"
},
"author": "TheAlgorithms",
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