testcases:
  - name: "testcase 6"
    inputs:
    - 1 : 0
    output: 
    - 1 : 0
  - name: "testcase 7"
    inputs:
    - 1: 1
    output:
    - 1 : 1
  - name: "testcase 8"
    inputs:
    - 1 : 2
    output: 
    - 1 : 1
  - name: "testcase 9"
    inputs:
    - 1: 3
    output:
    - 1 : 2
  - name: "testcase 10"
    inputs:
    - 1 : 4
    output: 
    - 1 : 4

  - name: "testcase 11"
    inputs:
    - 1 : 10
    output: 
    - 1 : 149
  - name: "testcase 12"
    inputs:
    - 1: 25
    output:
    - 1 : 1389537