JavaScript - 确定从序列中移除一组值的全部可能方式
我们需要编写一个 JavaScript 函数,该函数确定我们可以用多少种不同的方式从序列中移除一组值,同时保持原始序列的顺序(稳定),并确保每次只从原始序列中移除一个实例值。
例如 - 如果序列数组为 -
const arr = [1, 2, 1, 3, 1, 4, 4];
而要移除的数组为 -
const arr2 = [1, 4, 4];
那么有三种可能的方式可以做到这一点,而不会破坏元素的顺序 -
1 --> [2, 1, 3, 1] 2 --> [1, 2, 3, 1] 3 --> [1, 2, 1, 3]
因此,对于这些序列,我们的函数应该输出 3。代码如下 -
示例
const arr = [1, 2, 1, 3, 1, 4, 4];
const arr2 = [1, 4, 4];
const possibleRemovalCombinations = (original, part) => {
const sorter = (a, b) => a - b;
part.sort(sorter);
let place = [];
part.forEach(el => {
place[el] = []
});
original.forEach((el, index) => {
if(place[el]){
place[el].push(index);
}
});
let connection = part.map(el => place[el].slice());
for(let i = 1; i < connection.length; i++){
if (part[i - 1] != part[i]){
continue;
}
let left = connection[i - 1][0];
while(connection[i][0] <= left){
connection[i].shift();
};
};
for (let i = connection.length - 2; i >= 0; i--) {
if(part[i] != part[i + 1]){
continue;
}
let right = connection[i + 1][connection[i + 1].length - 1];
while(connection[i][connection[i].length - 1] >= right){
connection[i].pop();
};
};
const combineArray = (step, prev, combination) => {
for (let i = 0; i < connection[step].length; i++) {
let curr = connection[step][i];
if(prev >= curr && original[prev] == original[curr]){
continue;
}
if(step + 1 == connection.length){
combinations.push(combination.concat([curr]))
}
else {
combineArray(step + 1, curr, combination.concat([curr]));
};
};
};
let combinations = [], res = [];
combineArray(0, -1, []);
for (let i = 0; i < combinations.length; i++) {
let copy = original.slice();
combinations[i].forEach(el => copy[el]);
res[i] = copy.filter(el => el !== undefined);
};
return res.length;
};
console.log(possibleRemovalCombinations(arr, arr2));输出
控制台中的输出将为 -
3
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