A non-empty array A consisting of N integers is given. A pair of integers (P, Q), such that 0 ≤ P < Q < N, is called a slice of array A (notice that the slice contains at least two elements). The average of a slice (P, Q) is the sum of A[P] + A[P + 1] + ... + A[Q] divided by the length of the slice. To be precise, the average equals (A[P] + A[P + 1] + ... + A[Q]) / (Q − P + 1).
For example, array A such that:
A[0] = 4 A[1] = 2 A[2] = 2 A[3] = 5 A[4] = 1 A[5] = 5 A[6] = 8contains the following example slices:
- slice (1, 2), whose average is (2 + 2) / 2 = 2;
- slice (3, 4), whose average is (5 + 1) / 2 = 3;
- slice (1, 4), whose average is (2 + 2 + 5 + 1) / 4 = 2.5.
The goal is to find the starting position of a slice whose average is minimal.
Write a function:
class Solution { public int solution(int[] A); }
that, given a non-empty array A consisting of N integers, returns the starting position of the slice with the minimal average. If there is more than one slice with a minimal average, you should return the smallest starting position of such a slice.
For example, given array A such that:
A[0] = 4 A[1] = 2 A[2] = 2 A[3] = 5 A[4] = 1 A[5] = 5 A[6] = 8the function should return 1, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [2..100,000];
- each element of array A is an integer within the range [−10,000..10,000].
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int size = A.length;
if(size == 2) {
return 0;
}
float minFromPrevious = (A[size-1] + A[size-2])/2;
float minFromPreviousElementCount = 2;
float minAvg = minFromPrevious;
int answer = 0;
for(int i=size-3; i>-1; i--) {
float newAvgWithPreviousElement = (A[i] + A[i+1]) / 2;
float newAvgWithPreviousAvg = (minFromPrevious*minFromPreviousElementCount + A[i]) /(minFromPreviousElementCount + 1);
if(newAvgWithPreviousElement<newAvgWithPreviousAvg) {
minFromPrevious = newAvgWithPreviousElement;
minFromPreviousElementCount = 2;
} else {
minFromPrevious = newAvgWithPreviousAvg;
minFromPreviousElementCount++;
}
if(minFromPrevious < minAvg) {
minAvg = minFromPrevious;
answer = i;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
ifl
for(int i=size-3; i>-1; i--) {
float newAvgWithPreviousElement = (A[i] + A[i+1]) / 2;
float newAvgWithPreviousAvg = (minFromPrevious*minFromPreviousElementCount + A[i]) /(minFromPreviousElementCount + 1);
if(newAvgWithPreviousElement<newAvgWithPreviousAvg) {
minFromPrevious = newAvgWithPreviousElement;
minFromPreviousElementCount = 2;
} else {
minFromPrevious = newAvgWithPreviousAvg;
minFromPreviousElementCount++;
}
if(minFromPrevious < minAvg) {
minAvg = minFromPrevious;
answer = i;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg =
for(int i=size-3; i>-1; i--) {
float newAvgWithPreviousElement = (A[i] + A[i+1]) / 2;
float newAvgWithPreviousAvg = (minFromPrevious*minFromPreviousElementCount + A[i]) /(minFromPreviousElementCount + 1);
if(newAvgWithPreviousElement<newAvgWithPreviousAvg) {
minFromPrevious = newAvgWithPreviousElement;
minFromPreviousElementCount = 2;
} else {
minFromPrevious = newAvgWithPreviousAvg;
minFromPreviousElementCount++;
}
if(minFromPrevious < minAvg) {
minAvg = minFromPrevious;
answer = i;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])
for(int i=size-3; i>-1; i--) {
float newAvgWithPreviousElement = (A[i] + A[i+1]) / 2;
float newAvgWithPreviousAvg = (minFromPrevious*minFromPreviousElementCount + A[i]) /(minFromPreviousElementCount + 1);
if(newAvgWithPreviousElement<newAvgWithPreviousAvg) {
minFromPrevious = newAvgWithPreviousElement;
minFromPreviousElementCount = 2;
} else {
minFromPrevious = newAvgWithPreviousAvg;
minFromPreviousElementCount++;
}
if(minFromPrevious < minAvg) {
minAvg = minFromPrevious;
answer = i;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=size-3; i>-1; i--) {
float newAvgWithPreviousElement = (A[i] + A[i+1]) / 2;
float newAvgWithPreviousAvg = (minFromPrevious*minFromPreviousElementCount + A[i]) /(minFromPreviousElementCount + 1);
if(newAvgWithPreviousElement<newAvgWithPreviousAvg) {
minFromPrevious = newAvgWithPreviousElement;
minFromPreviousElementCount = 2;
} else {
minFromPrevious = newAvgWithPreviousAvg;
minFromPreviousElementCount++;
}
if(minFromPrevious < minAvg) {
minAvg = minFromPrevious;
answer = i;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=2; i>-1; i--) {
float newAvgWithPreviousElement = (A[i] + A[i+1]) / 2;
float newAvgWithPreviousAvg = (minFromPrevious*minFromPreviousElementCount + A[i]) /(minFromPreviousElementCount + 1);
if(newAvgWithPreviousElement<newAvgWithPreviousAvg) {
minFromPrevious = newAvgWithPreviousElement;
minFromPreviousElementCount = 2;
} else {
minFromPrevious = newAvgWithPreviousAvg;
minFromPreviousElementCount++;
}
if(minFromPrevious < minAvg) {
minAvg = minFromPrevious;
answer = i;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=2; i<A.length>; i++) {
float newAvgWithPreviousElement = (A[i] + A[i+1]) / 2;
float newAvgWithPreviousAvg = (minFromPrevious*minFromPreviousElementCount + A[i]) /(minFromPreviousElementCount + 1);
if(newAvgWithPreviousElement<newAvgWithPreviousAvg) {
minFromPrevious = newAvgWithPreviousElement;
minFromPreviousElementCount = 2;
} else {
minFromPrevious = newAvgWithPreviousAvg;
minFromPreviousElementCount++;
}
if(minFromPrevious < minAvg) {
minAvg = minFromPrevious;
answer = i;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=2; i<A.length>; i++) {
float avg3 = (A[i])
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=2; i<A.length>; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=2; i<A.length>; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/2.0;
if(avg3 < minAvg) {
minAvg = avg3;
answer =
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=2; i<A.length>; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/2.0;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=2; i<A.length>; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/3.0;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
float avg2 = (A[i]+A[i-1])/2.0;
if(avg3 < minAvg) {
minAvg = avg2;
answer = i-1;
}
}
return answer;
}
}
Solution.java:13: error: illegal start of expression for(int i=2; i<A.length>; i++) { ^ 1 error
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=2; i<A.length; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/3.0;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
float avg2 = (A[i]+A[i-1])/2.0;
if(avg3 < minAvg) {
minAvg = avg2;
answer = i-1;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2.0;
for(int i=2; i<A.length; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/3.0;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
float avg2 = (A[i]+A[i-1])/2.0;
if(avg3 < minAvg) {
minAvg = avg2;
answer = i-1;
}
}
return answer;
}
}
Solution.java:11: error: incompatible types: possible lossy conversion from double to float float minAvg = (A[0]+A[1])/2.0; ^ Solution.java:14: error: incompatible types: possible lossy conversion from double to float float avg3 = (A[i]+A[i-1]+A[i-2])/3.0; ^ Solution.java:20: error: incompatible types: possible lossy conversion from double to float float avg2 = (A[i]+A[i-1])/2.0; ^ 3 errors
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/(float)2;
for(int i=2; i<A.length; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/3.0;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
float avg2 = (A[i]+A[i-1])/2.0;
if(avg3 < minAvg) {
minAvg = avg2;
answer = i-1;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2f;
for(int i=2; i<A.length; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/3f;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
float avg2 = (A[i]+A[i-1])/2f;
if(avg3 < minAvg) {
minAvg = avg2;
answer = i-1;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2f;
for(int i=2; i<A.length; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/3f;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
float avg2 = (A[i]+A[i-1])/2f;
if(avavg2g3 < minAvg) {
minAvg = avg2;
answer = i-1;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2f;
for(int i=2; i<A.length; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/3f;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
float avg2 = (A[i]+A[i-1])/2f;
if(avg2 < minAvg) {
minAvg = avg2;
answer = i-1;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2f;
for(int i=2; i<A.length; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/3f;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
float avg2 = (A[i]+A[i-1])/2f;
if(avg2 < minAvg) {
minAvg = avg2;
answer = i-1;
}
}
return answer;
}
}
// you can also use imports, for example:
import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
int answer = 0;
float minAvg = (A[0]+A[1])/2f;
for(int i=2; i<A.length; i++) {
float avg3 = (A[i]+A[i-1]+A[i-2])/3f;
if(avg3 < minAvg) {
minAvg = avg3;
answer = i-2;
}
float avg2 = (A[i]+A[i-1])/2f;
if(avg2 < minAvg) {
minAvg = avg2;
answer = i-1;
}
}
return answer;
}
}
The solution obtained perfect score.