几乎每一个人都用 乘法表。但是你能在乘法表中快速找到第k小的数字吗?
给定高度m 、宽度n 的一张 m * n的乘法表,以及正整数k,你需要返回表中第k 小的数字。
例 1:
输入: m = 3, n = 3, k = 5
输出: 3
解释:
乘法表:
1 2 3
2 4 6
3 6 9
第5小的数字是 3 (1, 2, 2, 3, 3).
var findKthNumber = function(m, n, k) {
let l = 0, r = m * n
while (l < r) {
const mid = l + r >> 1
let count = 0
for (let i = 1; i <= m; i++) count += Math.min(mid / i | 0, n)
count >= k ? r = mid : l = mid + 1
}
return l
};
function findKthNumber(m: number, n: number, k: number): number {
let l = 0, r = m * n
while (l < r) {
const mid = l + r >> 1
let count = 0
for (let i = 1; i <= m; i++) count += Math.min(mid / i | 0, n)
count >= k ? r = mid : l = mid + 1
}
return l
};
func findKthNumber(m int, n int, k int) int {
l, r := 0, m * n
for l < r {
mid, count := (l + r) >> 1, 0
for i := 1; i <= m; i++ {
count += min(mid / i | 0, n)
}
if count >= k {
r = mid
} else {
l = mid + 1
}
}
return l
}
func min(a int, b int) int {
if a < b {
return a
}
return b
}
class Solution {
function findKthNumber($m, $n, $k) {
$l = 0;
$r = $m * $n;
while ($l < $r) {
$mid = $l + $r >> 1;
$count = 0;
for ($i = 1; $i <= $m; $i++) $count += min($mid / $i | 0, $n);
$count >= $k ? $r = $mid : $l = $mid + 1;
}
return $l;
}
}
class Solution(object):
def findKthNumber(self, m, n, k):
l, r = 0, m * n
while l < r:
mid = l + r >> 1
count = 0
for i in range(1, m + 1):
count += min(mid / i | 0, n)
if count >= k: r = mid
else: l = mid + 1
return l
class Solution:
def findKthNumber(self, m: int, n: int, k: int) -> int:
l, r = 0, m * n
while l < r:
mid = l + r >> 1
count = 0
for i in range(1, m + 1):
count += min(mid // i, n)
if count >= k: r = mid
else: l = mid + 1
return l
class Solution {
public int findKthNumber(int m, int n, int k) {
int l = 0;
int r = m * n;
while (l < r) {
int mid = l + r >> 1;
int count = 0;
for (int i = 1; i <= m; i++) count += Math.min(mid / i | 0, n);
if (count >= k) r = mid;
else l = mid + 1;
}
return l;
}
}
var findKthNumber = function(m, n, k) {
let l = 0, r = m * n
while (l < r) {
const mid = l + r >> 1
let count = (mid / n | 0) * n
for (let i = (mid / n | 0) + 1; i <= m; i++) count += mid / i | 0
count >= k ? r = mid : l = mid + 1
}
return l
};
function findKthNumber(m: number, n: number, k: number): number {
let l = 0, r = m * n
while (l < r) {
const mid = l + r >> 1
let count = (mid / n | 0) * n
for (let i = (mid / n | 0) + 1; i <= m; i++) count += mid / i | 0
count >= k ? r = mid : l = mid + 1
}
return l
};
func findKthNumber(m int, n int, k int) int {
l, r := 0, m * n
for l < r {
mid := (l + r) >> 1
count := (mid / n | 0) * n
for i := (mid / n | 0) + 1; i <= m; i++ {
count += mid / i | 0
}
if count >= k {
r = mid
} else {
l = mid + 1
}
}
return l
}
class Solution {
function findKthNumber($m, $n, $k) {
$l = 0;
$r = $m * $n;
while ($l < $r) {
$mid = $l + $r >> 1;
$count = ($mid / $n | 0) * $n;
for ($i = ($mid / $n | 0) + 1; $i <= $m; $i++) $count += $mid / $i | 0;
$count >= $k ? $r = $mid : $l = $mid + 1;
}
return $l;
}
}
class Solution(object):
def findKthNumber(self, m, n, k):
l, r = 0, m * n
while l < r:
mid = l + r >> 1
count = (mid / n | 0) * n
for i in range((mid / n | 0) + 1, m + 1):
count += mid / i | 0
if count >= k: r = mid
else: l = mid + 1
return l
class Solution:
def findKthNumber(self, m: int, n: int, k: int) -> int:
l, r = 0, m * n
while l < r:
mid = l + r >> 1
count = mid // n * n
for i in range(mid // n + 1, m + 1):
count += mid // i
if count >= k: r = mid
else: l = mid + 1
return l
class Solution {
public int findKthNumber(int m, int n, int k) {
int l = 0;
int r = m * n;
while (l < r) {
int mid = l + r >> 1;
int count = (mid / n | 0) * n;
for (int i = (mid / n | 0) + 1; i <= m; i++) count += mid / i | 0;
if (count >= k) r = mid;
else l = mid + 1;
}
return l;
}
}