title: Total Number Of Non Decreasing Numbers With N Digits
signature: function totalNumberOfNonDecreasingNumbersWithNDigits(n: number): number {
source_py: def total_number_of_non_decreasing_numbers_with_n_digits(n):
      dp = [[0 for i in range((n + 1))] for i in range(10)]
      for i in range(10):
          dp[i][1] = 1
      for digit in range(10):
          for len in range(2, (n + 1)):
              for x in range((digit + 1)):
                  dp[digit][len] += dp[x][(len - 1)]
      count = 0
      for i in range(10):
          count += dp[i][n]
      return count
source_cpp: long long int total_number_of_non_decreasing_numbers_with_n_digits(int n) {
    long long int dp [ 10 ] [ n + 1 ];
    memset ( dp, 0, sizeof dp );
    for ( int i = 0;
    i < 10;
    i ++ ) dp [ i ] [ 1 ] = 1;
    for ( int digit = 0;
    digit <= 9;
    digit ++ ) {
      for ( int len = 2;
      len <= n;
      len ++ ) {
        for ( int x = 0;
        x <= digit;
        x ++ ) dp [ digit ] [ len ] += dp [ x ] [ len - 1 ];
      }
    }
    long long int count = 0;
    for ( int i = 0;
    i < 10;
    i ++ ) count += dp [ i ] [ n ];
    return count;
  }
question_info.test_list: [{"idx": 0, "outputs": 14307150, "inputs": {"n": 21}}, {"idx": 1, "outputs": 2054455634, "inputs": {"n": 40}}, {"idx": 2, "outputs": 868754947060, "inputs": {"n": 83}}, {"idx": 3, "outputs": 2290415157800, "inputs": {"n": 93}}, {"idx": 4, "outputs": 3679075400, "inputs": {"n": 43}}, {"idx": 5, "outputs": 3585446225075, "inputs": {"n": 98}}, {"idx": 6, "outputs": 708930508, "inputs": {"n": 35}}, {"idx": 7, "outputs": 1174992339235, "inputs": {"n": 86}}, {"idx": 8, "outputs": 411731930610, "inputs": {"n": 76}}, {"idx": 9, "outputs": 1429144287220, "inputs": {"n": 88}}]
question_info.entry_cls_name: Solution
question_info.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(n: number, expected:number): string {
      try{
          if (validateSolution(PLACEHOLDER_FN_NAME(n),expected)){
              return "PASSED";
          }
          return "FAILED";
      } catch (error) {
        return error.name;
      }
      
  }
      
  function main(){
    let result = '';
    result = driver(21, 14307150);
    console.log(`TEST-0...${result}`);
  
    result = driver(40, 2054455634);
    console.log(`TEST-1...${result}`);
  
    result = driver(83, 868754947060);
    console.log(`TEST-2...${result}`);
  
    result = driver(93, 2290415157800);
    console.log(`TEST-3...${result}`);
  
    result = driver(43, 3679075400);
    console.log(`TEST-4...${result}`);
  
    result = driver(98, 3585446225075);
    console.log(`TEST-5...${result}`);
  
    result = driver(35, 708930508);
    console.log(`TEST-6...${result}`);
  
    result = driver(86, 1174992339235);
    console.log(`TEST-7...${result}`);
  
    result = driver(76, 411731930610);
    console.log(`TEST-8...${result}`);
  
    result = driver(88, 1429144287220);
    console.log(`TEST-9...${result}`);
  
  };
  
  main();
question_info.extension: ts
question_info.entry_fn_name: totalNumberOfNonDecreasingNumbersWithNDigits
question_info.test_case_ids: 0 1 2 3 4 5 6 7 8 9
question_info.commands: tsc --target es2020 --lib es5,dom,es2015,es2020 __FILENAME__
question_info.commands: node __FILENAME__.js