Public
Edited
Oct 22, 2023
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// nums = [[1, 3], [2]] // 1
nums = [[1, 2], [3]] // 1
// nums = [[1,2], [3,4]] // 1,2
// nums = [[1,2,5,6,7], [3,4]] // 3
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findMedianSortedArrays(...nums)
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expSearchGte([1, 2, 4.5, 5, 7], 0, 4)
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function findMedianSortedArrays(nums1, nums2) {
debugger;
let totalLen = nums1.length + nums2.length;
// 找 mid,对于偶数个数字的情况,在头部补一个数字再找一次就行
let mid = Math.floor((totalLen - 1) / 2); // 3 -> 1,1; 4 -> 1,2
let arrs = [nums1, nums2];
let skipArr = [0, 0];
let pointer = nums1[0] <= nums2[0] ? 0 : 1; // pointer 指向更小的起始值数组
let loopCnt = 20; // 避免死循环
while (loopCnt-- >= 0) {
let skip = skipArr[pointer];
let arr = arrs[pointer];
let val = arr[skip];
let nextPointer = (pointer + 1) % 2;
let nextArr = arrs[nextPointer];
let nextArrSkip = skipArr[nextPointer];

// 找当前数组中比另一个数组的起始值更大的值
let nextSkip = expSearchGte(
arrs[pointer],
skipArr[pointer],
nextArr[nextArrSkip]
);
let nextSkipSafe = nextSkip === -1 ? arr.length - 1 : nextSkip;

// 1. 超出了 mid
if (mid < nextSkipSafe + nextArrSkip + 2) {
// mid + 1 = nextSkip + 1 + nextArrSkip + remain + 1
if (nextSkip === -1) {
// 中位数在当前数组,相当于去掉右边 nextArrSkip 个数,直接在当前数组找中位数
} else {
// 中位数在另一个数组
}
let remain =
mid - (nextSkip === -1 ? arr.length : nextSkip + 1) - nextArrSkip;
let r = nextArrSkip + remain < 0 ? arr[nextSkip === -1 ? arr.length + remain : ] : nextArr[nextArrSkip + remain];
return r;
}
// 2. 刚好是 mid,可直接算中位数,r 位于 gtEPos,l 位于 r 的上一个数或另一个数组的指针位置
if (mid === nextSkipSafe + nextArrSkip + 2) {
return arr[nextSkipSafe];
}
// 3. 没有超出 mid,继续循环
skipArr[pointer] = nextSkipSafe;
pointer = nextPointer;
}

return -1;
}
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