You and a gang of thieves are planning on robbing a bank. You are given a 0-indexed integer array security
, where security[i]
is the number of guards on duty on the ith
day. The days are numbered starting from 0
. You are also given an integer time
.
The ith
day is a good day to rob the bank if:
- There are at least
time
days before and after theith
day, - The number of guards at the bank for the
time
days beforei
are non-increasing, and - The number of guards at the bank for the
time
days afteri
are non-decreasing.
More formally, this means day i
is a good day to rob the bank if and only if security[i - time] >= security[i - time + 1] >= ... >= security[i] <= ... <= security[i + time - 1] <= security[i + time]
.
Return a list of all days (0-indexed) that are good days to rob the bank. The order that the days are returned in does not matter.
Example 1:
Input: security = [5,3,3,3,5,6,2], time = 2 Output: [2,3] Explanation: On day 2, we have security[0] >= security[1] >= security[2] <= security[3] <= security[4]. On day 3, we have security[1] >= security[2] >= security[3] <= security[4] <= security[5]. No other days satisfy this condition, so days 2 and 3 are the only good days to rob the bank.
Example 2:
Input: security = [1,1,1,1,1], time = 0 Output: [0,1,2,3,4] Explanation: Since time equals 0, every day is a good day to rob the bank, so return every day.
Example 3:
Input: security = [1,2,3,4,5,6], time = 2 Output: [] Explanation: No day has 2 days before it that have a non-increasing number of guards. Thus, no day is a good day to rob the bank, so return an empty list.
Example 4:
Input: security = [1], time = 5 Output: [] Explanation: No day has 5 days before and after it. Thus, no day is a good day to rob the bank, so return an empty list.
Constraints:
1 <= security.length <= 105
0 <= security[i], time <= 105
class Solution:
def goodDaysToRobBank(self, security: List[int], time: int) -> List[int]:
n = len(security)
if n <= time * 2:
return []
left, right = [0] * n, [0] * n
for i in range(1, n):
if security[i] <= security[i - 1]:
left[i] = left[i - 1] + 1
for i in range(n - 2, -1, -1):
if security[i] <= security[i + 1]:
right[i] = right[i + 1] + 1
return [i for i in range(n) if time <= min(left[i], right[i])]
class Solution {
public List<Integer> goodDaysToRobBank(int[] security, int time) {
int n = security.length;
if (n <= time * 2) {
return Collections.emptyList();
}
int[] left = new int[n];
int[] right = new int[n];
for (int i = 1; i < n; ++i) {
if (security[i] <= security[i - 1]) {
left[i] = left[i - 1] + 1;
}
}
for (int i = n - 2; i >= 0; --i) {
if (security[i] <= security[i + 1]) {
right[i] = right[i + 1] + 1;
}
}
List<Integer> ans = new ArrayList<>();
for (int i = 0; i < n; ++i) {
if (time <= Math.min(left[i], right[i])) {
ans.add(i);
}
}
return ans;
}
}
class Solution {
public:
vector<int> goodDaysToRobBank(vector<int>& security, int time) {
int n = security.size();
if (n <= time * 2) return {};
vector<int> left(n);
vector<int> right(n);
for (int i = 1; i < n; ++i)
if (security[i] <= security[i - 1])
left[i] = left[i - 1] + 1;
for (int i = n - 2; i >= 0; --i)
if (security[i] <= security[i + 1])
right[i] = right[i + 1] + 1;
vector<int> ans;
for (int i = 0; i < n; ++i)
if (time <= min(left[i], right[i]))
ans.push_back(i);
return ans;
}
};
func goodDaysToRobBank(security []int, time int) []int {
n := len(security)
if n <= time*2 {
return []int{}
}
left := make([]int, n)
right := make([]int, n)
for i := 1; i < n; i++ {
if security[i] <= security[i-1] {
left[i] = left[i-1] + 1
}
}
for i := n - 2; i >= 0; i-- {
if security[i] <= security[i+1] {
right[i] = right[i+1] + 1
}
}
var ans []int
for i := 0; i < n; i++ {
if time <= left[i] && time <= right[i] {
ans = append(ans, i)
}
}
return ans
}