title: Minimum Insertions Sort Array
signature: function minimumInsertionsSortArray(arr: Array<number>, n: number): number {
test_code: 
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  function convertToString(value: any): string{
      return JSON.stringify(value, function (key, val) {
          if (val instanceof Set) {
              return Array.from(val);
          } return val;});
  }
  
  function validateSolution(actual: number, expected: number): boolean {
      return convertToString(actual) === convertToString(expected);
  }
  
  function driver(arr: Array<number>, n: number, expected:number): string {
      try{
          if (validateSolution(PLACEHOLDER_FN_NAME(arr, n),expected)){
              return "PASSED";
          }
          return "FAILED";
      } catch (error) {
        return error.name;
      }
      
  }
      
  function main(){
    let result = '';
    result = driver([4, 7, 20, 22, 23, 31, 33, 36, 47, 61, 63, 63, 71, 74, 82, 91, 95, 99], 15, 0);
    console.log(`TEST-0...${result}`);
  
    result = driver([-84, 12, -42, -78, 22, 72, 56, 70, 28, -72], 7, 3);
    console.log(`TEST-1...${result}`);
  
    result = driver([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 16, 0);
    console.log(`TEST-2...${result}`);
  
    result = driver([29, 41, 4, 62, 77, 74, 30, 2, 14, 90, 93, 10, 78, 36, 66, 22, 48, 89, 36, 73, 70, 23, 90], 13, 7);
    console.log(`TEST-3...${result}`);
  
    result = driver([-80, -72, -68, -66, -58, -50, -48, -32, -28, -24, -22, -18, 0, 2, 6, 10, 12, 14, 14, 18, 24, 24, 24, 28, 28, 28, 34, 38, 42, 42, 46, 46, 46, 58, 80, 82, 82, 84, 84, 86, 88, 90, 92, 96], 36, 0);
    console.log(`TEST-4...${result}`);
  
    result = driver([1, 1, 0, 1, 0, 1, 0, 0, 1, 0], 8, 4);
    console.log(`TEST-5...${result}`);
  
    result = driver([26, 36, 58, 64, 69, 72, 79, 82, 82, 87, 89, 90, 95], 8, 0);
    console.log(`TEST-6...${result}`);
  
    result = driver([-52, -40, 98, 40, 42, -50, 60, -64, -92, 36, -88, 72, -72, 38, -80, -52, 68, 70, 16, 22, -30, -74, 56, -80, 62, -54, -32, -22, -86, -70, 88, -76, -46, 28, 40, -2, -84, 68, -98, -16, 90, 36, -38, -86, 20, -40, 82, 98, 54], 41, 30);
    console.log(`TEST-7...${result}`);
  
    result = driver([0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], 10, 0);
    console.log(`TEST-8...${result}`);
  
    result = driver([36, 62, 58, 24, 99, 12, 46, 3, 4, 40, 54, 97, 48, 94, 98, 7, 17, 5, 3, 36, 3], 16, 10);
    console.log(`TEST-9...${result}`);
  
  };
  
  main();
source_py: def minimum_insertions_sort_array(arr, N):
      lis = ([0] * N)
      for i in range(N):
          lis[i] = 1
      for i in range(1, N):
          for j in range(i):
              if ((arr[i] >= arr[j]) and (lis[i] < (lis[j] + 1))):
                  lis[i] = (lis[j] + 1)
      max = 0
      for i in range(N):
          if (max < lis[i]):
              max = lis[i]
      return (N - max)
source_cpp: int minimum_insertions_sort_array(vector<int> arr, int N) {
    int lis [ N ];
    for ( int i = 0;
    i < N;
    i ++ ) lis [ i ] = 1;
    for ( int i = 1;
    i < N;
    i ++ ) for ( int j = 0;
    j < i;
    j ++ ) if ( arr [ i ] >= arr [ j ] && lis [ i ] < lis [ j ] + 1 ) lis [ i ] = lis [ j ] + 1;
    int max = 0;
    for ( int i = 0;
    i < N;
    i ++ ) if ( max < lis [ i ] ) max = lis [ i ];
    return ( N - max );
  }