Merge pull request #75 from sahil2128/master

New Problem Statement

Author: manishbisht

Daily Coding Problem/00526/Readme.md

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+# Policemen catch thieves
+
+Given an array of size n that has the following specifications: 
+
+Each element in the array contains either a policeman or a thief.
+Each policeman can catch only one thief.
+A policeman cannot catch a thief who is more than K units away from the policeman.
+We need to find the maximum number of thieves that can be caught.
+Examples: 
+ 
+```bash
+Input : arr[] = {'P', 'T', 'T', 'P', 'T'},
+            k = 1.
+Output : 2.
+```
+Here maximum 2 thieves can be caught, first
+policeman catches first thief and second police-
+man can catch either second or third thief.
+
+```
+Input : arr[] = {'T', 'T', 'P', 'P', 'T', 'P'}, 
+            k = 2.
+Output : 3.
+```
+```
+Input : arr[] = {'P', 'T', 'P', 'T', 'T', 'P'},
+            k = 3.
+Output : 3.
+```

Daily Coding Problem/00526/Solution.py

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+# Python3 program to find maximum
+# number of thieves caught
+
+# Returns maximum number of thieves
+# that can be caught.
+def policeThief(arr, n, k):
+	i = 0
+	l = 0
+	r = 0
+	res = 0
+	thi = []
+	pol = []
+
+	# store indices in list
+	while i < n:
+		if arr[i] == 'P':
+			pol.append(i)
+		elif arr[i] == 'T':
+			thi.append(i)
+		i += 1
+
+	# track lowest current indices of
+	# thief: thi[l], police: pol[r]
+	while l < len(thi) and r < len(pol):
+		
+		# can be caught
+		if (abs( thi[l] - pol[r] ) <= k):
+			res += 1
+			l += 1
+			r += 1
+			
+		# increment the minimum index
+		elif thi[l] < pol[r]:
+			l += 1
+		else:
+			r += 1
+
+	return res
+
+# Driver program
+if __name__=='__main__':
+	arr1 = ['P', 'T', 'T', 'P', 'T']
+	k = 2
+	n = len(arr1)
+	print(("Maximum thieves caught: {}".
+		format(policeThief(arr1, n, k))))
+
+	arr2 = ['T', 'T', 'P', 'P', 'T', 'P']
+	k = 2
+	n = len(arr2)
+	print(("Maximum thieves caught: {}".
+		format(policeThief(arr2, n, k))))
+
+	arr3 = ['P', 'T', 'P', 'T', 'T', 'P']
+	k = 3
+	n = len(arr3)
+	print(("Maximum thieves caught: {}".
+		format(policeThief(arr3, n, k))))