Case #1: 4
Case #2: 5
Case #3: 5
Case #4: 1
Case #5: 9
Case #6: 559
Case #7: 928192
Case #8: 7
Case #9: 338
Case #10: 72412
Case #11: 5
Case #12: 304
Case #13: 671185
Case #14: 5
Case #15: 647
Case #16: 198959
Case #17: 5
Case #18: 787
Case #19: 328587
Case #20: 1
Case #21: 1499999
Case #22: 1000000
Case #23: 999999
Case #24: 500001
Case #25: 1000000
Case #26: 12391
Case #27: 999991
Case #28: 1
Case #29: 1000
Case #30: 1337
Case #31: 56