Created
April 20, 2020 15:33
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function countPairs(arr) { | |
// console.log('regular:'); | |
let cnt = 0; | |
for (let i = 0; i < arr.length; ++i) { | |
for (let j = i + 1; j < arr.length; ++j) { | |
const and = arr[i] & arr[j]; | |
const log = Math.log(and) / Math.log(2); | |
if (and !== 0 && Math.round(log) === log) { | |
// console.log(arr[i], arr[j]); | |
++cnt; | |
} | |
} | |
} | |
return cnt; | |
} | |
function countPairs3(arr, obj) { | |
// console.log('fast:'); | |
const quan = new Map(); | |
obj.quan = quan; | |
for (let i = 0; i < arr.length; ++i) { | |
if (quan.has(arr[i])) { | |
quan.set(arr[i], quan.get(arr[i]) + 1); | |
} else { | |
quan.set(arr[i], 1); | |
} | |
} | |
// const uniq = arr;//[...quan].map(([n, q]) => n); | |
const uniq = [...quan].map(([n, q]) => n); | |
const cond = (a, b) => { | |
const and = a & b | |
const log = Math.log(and) / Math.log(2); | |
return and !== 0 && Math.round(log) === log; | |
} | |
let cnt = 0; | |
for (let i = 0; i < uniq.length; ++i) { | |
if (cond(uniq[i], uniq[i])) { | |
const q = quan.get(uniq[i]); | |
const add = (q * (q-1)) / 2; | |
// console.log('single', uniq[i], `+${add}`); | |
cnt += add; | |
} | |
for (let j = i + 1; j < uniq.length; ++j) { | |
if (cond(uniq[i], uniq[j])) { | |
const qa = quan.get(uniq[i]); | |
const qb = quan.get(uniq[j]); | |
// console.log('multi', uniq[i], uniq[j], `+${qa}*${qb}`); | |
cnt += qa * qb; | |
} | |
} | |
} | |
return cnt; | |
} | |
for (let t = 0; t < 100; ++ t) { | |
const arr = []; | |
for (let i = 0; i < 100; ++i) { | |
arr.push(Math.round(Math.random()*1e3)); | |
} | |
const obj = {}; | |
const [a, b] = [countPairs(arr), countPairs3(arr, obj)]; | |
console.log(a === b ? ' ' : ' # ', a, b, | |
' ', | |
[...obj.quan] | |
// .filter(([k, v]) => v > 1) | |
.map(([k, v]) => (k+'').repeat(v)) | |
); | |
} | |
// console.log(countPairs3([1,1,3,3])); | |
// function countPairs2(arr) { | |
// // const a2 = arr.map(num => { | |
// // let bits = 0; | |
// // let n = num; | |
// // while (n > 0) { | |
// // if (n & 1) ++bits; | |
// // n >>= 1; | |
// // } | |
// // return {num, bits} | |
// // }); | |
// // return a2.sort((a, b) => a.bits - b.bits) | |
// let cnt = 0; | |
// for (let i = 0; i < arr.length; ++i) { | |
// for (let j = i + 1; j < arr.length; ++j) { | |
// const and = arr[i] & arr[j]; | |
// const log = Math.log(and) / Math.log(2); | |
// if (and !== 0 && Math.round(log) === log) { | |
// ++cnt; | |
// } | |
// } | |
// } | |
// return cnt; | |
// } | |
// console.log(JSON.stringify(countPairs2([1,1,3,3]), null, ' ')); | |
// for (let j = 0; j < 100; ++j) { | |
// const pairs = []; | |
// for (let i = 0; i < j; ++i) { | |
// pairs.push(i); | |
// } | |
// console.log(countPairs(pairs), pairs); | |
// } |
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