Prove random UUID distribution upon the character space

index.js

const uuid = require("node:crypto").randomUUID;
const m = new Map();
const N = 1e7;

for (let i = 0; i < N; i++) {
  const k = uuid().split("").reverse()[0];
  if (m.has(k)) {
    m.set(k, m.get(k) + 1);
  } else {
    m.set(k, 1);
  }
}

const avg = N / m.size / N;
const l = [];
m.forEach((v, k) => {
  const r = v / N;
  l.push(r - avg);
});

const abs = [...l].map((v) => Math.abs(v)).sort((a, b) => a - b);
console.log(`min divergence: ${abs[0]}`);
console.log(`max divergence: ${abs[abs.length - 1]}`);
console.log(`expected average: ${avg}`);
console.log(`N = ${N}`);
console.log(`size = ${m.size}`);