Bạn có thể sử dụng toán tử modulo [
Last 2 digits of 2^10 = 2472] để lấy chữ số cuối cùng của một số nguyên theo cách sau
function lastDigit[int $num]: int { return $num % 10; } var_dump[lastDigit[0]]; // 0 var_dump[lastDigit[1234]]; // 4 var_dump[lastDigit[-1234]]; // -4
Trong ví dụ trên, toán tử modulo [
Last 2 digits of 2^10 = 2472] hoạt động bằng cách chia một số đã cho cho
Last 2 digits of 2^10 = 2474 và trả về phần còn lại. Nó sử dụng phép chia cắt ngắn và tương đương như sau
Cách tiếp cận ngây thơ là tìm giá trị của 2^n lặp đi lặp lại hoặc sử dụng hàm pow. Sau khi tính được giá trị của 2^n, hãy tìm hai chữ số cuối và in ra.
Ghi chú. Cách tiếp cận này sẽ chỉ hoạt động trong 2n trong một phạm vi nhất định, khi xảy ra tràn.
Dưới đây là việc thực hiện các phương pháp trên.
C++
Last 2 digits of 2^10 = 2475
Last 2 digits of 2^10 = 2476
Last 2 digits of 2^10 = 2477
Last 2 digits of 2^10 = 2478
Last 2 digits of 2^10 = 2479
Last 2 digits of 2^10 = 2480
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 240
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 244
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^72 = 960
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 962
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 964
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 966
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 968
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 24751
_______16____3753
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24755
_______16____3757
_______16____3759
_______16____3761
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24763
_______16____3765
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24767
Last 2 digits of 2^10 = 24768
Last 2 digits of 2^10 = 24769
Last 2 digits of 2^10 = 24770
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 24772
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 24776
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 24781
_______16____3783
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24785____3786
Last 2 digits of 2^10 = 24787
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24789______3790
Last 2 digits of 2^10 = 24791
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24789
Last 2 digits of 2^10 = 24794
Last 2 digits of 2^10 = 24791
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24789
Last 2 digits of 2^10 = 24798
Last 2 digits of 2^10 = 24799
Last 2 digits of 2^10 = 24800
Last 2 digits of 2^10 = 24801
Last 2 digits of 2^10 = 246____3803
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24767
Last 2 digits of 2^10 = 24806
Last 2 digits of 2^10 = 24769
Java
Last 2 digits of 2^10 = 24808
Last 2 digits of 2^10 = 24809
Last 2 digits of 2^10 = 24810
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2480
Last 2 digits of 2^10 = 24813
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 240_______11
Last 2 digits of 2^10 = 244
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 2404
Last 2 digits of 2^10 = 2405
Last 2 digits of 2^10 = 24801
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 962
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2410
Last 2 digits of 2^10 = 2405
Last 2 digits of 2^10 = 24801
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 966
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 968
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 2419____105
Last 2 digits of 2^10 = 24801
_______16____3753
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24755
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2427____105
Last 2 digits of 2^10 = 24801
_______16____3759
_______16____3761
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24763
_______16____3765
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24767
Last 2 digits of 2^10 = 24768
Last 2 digits of 2^10 = 24769
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2443
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2445
Last 2 digits of 2^10 = 24813
Last 2 digits of 2^10 = 2447
Last 2 digits of 2^10 = 2448
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 2451
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 2453
Last 2 digits of 2^10 = 2405
Last 2 digits of 2^10 = 24801
Last 2 digits of 2^10 = 2451
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 24785____159
Last 2 digits of 2^10 = 24801
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2451____3783
Last 2 digits of 2^10 = 2451
Last 2 digits of 2^10 = 2465
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 2467
Last 2 digits of 2^10 = 2468
Last 2 digits of 2^10 = 2469
Last 2 digits of 2^10 = 246
_______151____172____173
Last 2 digits of 2^10 = 2474
Last 2 digits of 2^10 = 2475
Last 2 digits of 2^10 = 246
_______16____3769
Last 2 digits of 2^10 = 24769
Last 2 digits of 2^10 = 2480
Python3
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 2482
Last 2 digits of 2^10 = 2483
Last 2 digits of 2^10 = 2484
Last 2 digits of 2^10 = 2485
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2488
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2490
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^10 = 2492
Last 2 digits of 2^10 = 2493
Last 2 digits of 2^10 = 2405
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2496
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2492______199
Last 2 digits of 2^10 = 2499
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^10 = 2405
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 9604
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 9606
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 9608
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^10 = 2492
Last 2 digits of 2^10 = 2493
Last 2 digits of 2^10 = 2405
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 9614
Last 2 digits of 2^10 = 246____916
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 9608
Last 2 digits of 2^72 = 9619
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^10 = 2405
Last 2 digits of 2^10 = 246____923
Last 2 digits of 2^10 = 246____925
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2492
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^72 = 9608
Last 2 digits of 2^72 = 9630
Last 2 digits of 2^10 = 2490
Last 2 digits of 2^10 = 246____933
Last 2 digits of 2^10 = 246____3767
Last 2 digits of 2^10 = 2492
Last 2 digits of 2^72 = 9637
Last 2 digits of 2^72 = 9638
Last 2 digits of 2^72 = 9639
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^72 = 9642
Last 2 digits of 2^72 = 9643
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 9645
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^10 = 2405
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2492____191
Last 2 digits of 2^10 = 2459
Last 2 digits of 2^10 = 246____953
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2492____191
Last 2 digits of 2^10 = 24786
Last 2 digits of 2^72 = 9658
Last 2 digits of 2^10 = 2468
Last 2 digits of 2^10 = 2469
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 9662
Last 2 digits of 2^72 = 9658
Last 2 digits of 2^10 = 24790
Last 2 digits of 2^72 = 9630
Last 2 digits of 2^72 = 9666
Last 2 digits of 2^72 = 9658
Last 2 digits of 2^10 = 2468
Last 2 digits of 2^72 = 9669
Last 2 digits of 2^72 = 9630
Last 2 digits of 2^10 = 24794
Last 2 digits of 2^72 = 9630
Last 2 digits of 2^72 = 9673
Last 2 digits of 2^72 = 9666
Last 2 digits of 2^72 = 9658
Last 2 digits of 2^10 = 2468
Last 2 digits of 2^72 = 9669
Last 2 digits of 2^72 = 9630
Last 2 digits of 2^10 = 24798
Last 2 digits of 2^72 = 9630
Last 2 digits of 2^72 = 9666
Last 2 digits of 2^72 = 9682
Last 2 digits of 2^72 = 9630
Last 2 digits of 2^72 = 9684
Last 2 digits of 2^10 = 24800
Last 2 digits of 2^72 = 9686
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^72 = 9688
Last 2 digits of 2^10 = 246____962
Last 2 digits of 2^72 = 9691
Last 2 digits of 2^72 = 9692
Last 2 digits of 2^72 = 9693
C#
Last 2 digits of 2^72 = 9694
Last 2 digits of 2^72 = 9695
Last 2 digits of 2^10 = 2477
Last 2 digits of 2^72 = 9697
Last 2 digits of 2^10 = 24809
Last 2 digits of 2^72 = 9699
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2480
Last 2 digits of 2^10 = 24813
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 240_______11
Last 2 digits of 2^10 = 244
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 246____37511
Last 2 digits of 2^10 = 246____37513
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 241
Last 2 digits of 2^72 = 960
Last 2 digits of 2^10 = 246____37518
Last 2 digits of 2^10 = 246____37520
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 964
Last 2 digits of 2^10 = 246____37511
Last 2 digits of 2^10 = 246____37526
Last 2 digits of 2^10 = 246____37528
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 24751
Last 2 digits of 2^10 = 246____37533
Last 2 digits of 2^10 = 246____37535
Last 2 digits of 2^10 = 246____37537
_______16____3757
Last 2 digits of 2^10 = 246____37541
Last 2 digits of 2^10 = 246____37543
Last 2 digits of 2^10 = 246____37545
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24763
_______16____3765
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24767
Last 2 digits of 2^10 = 24768
Last 2 digits of 2^10 = 24769
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2443
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2445
Last 2 digits of 2^10 = 24813
Last 2 digits of 2^10 = 2447
Last 2 digits of 2^10 = 247560
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 2451
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 24776
Last 2 digits of 2^10 = 2451
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 24781
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2451____3783
_______151____165____11____37575
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2451
Last 2 digits of 2^10 = 247578
Last 2 digits of 2^10 = 2473
Last 2 digits of 2^72 = 9630
Last 2 digits of 2^10 = 247581____37582
_______16____3769
Last 2 digits of 2^10 = 24769
Last 2 digits of 2^10 = 247586
Last 2 digits of 2^10 = 247587
PHP
Last 2 digits of 2^10 = 247588
Last 2 digits of 2^10 = 247589
Last 2 digits of 2^72 = 9695
Last 2 digits of 2^10 = 2480
Last 2 digits of 2^10 = 247592
Last 2 digits of 2^10 = 240____37594
Last 2 digits of 2^72 = 9669
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246____37511
Last 2 digits of 2^10 = 246____37513
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247602
Last 2 digits of 2^10 = 2491
Last 2 digits of 2^10 = 247594
Last 2 digits of 2^10 = 247605
Last 2 digits of 2^10 = 246____37518
Last 2 digits of 2^10 = 246____37520
Last 2 digits of 2^10 = 246____37594
Last 2 digits of 2^10 = 247612
Last 2 digits of 2^10 = 246____37511
Last 2 digits of 2^10 = 246____37526
Last 2 digits of 2^10 = 246____37528
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247620
Last 2 digits of 2^10 = 2491____37594
Last 2 digits of 2^10 = 247605
Last 2 digits of 2^10 = 246____37533
Last 2 digits of 2^10 = 246____37535
Last 2 digits of 2^10 = 246____37537
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247620
Last 2 digits of 2^10 = 247632
Last 2 digits of 2^10 = 246____37541
Last 2 digits of 2^10 = 246____37543
Last 2 digits of 2^10 = 246____37545
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247594
Last 2 digits of 2^10 = 2491____37620
Last 2 digits of 2^72 = 9630
Last 2 digits of 2^10 = 247602
Last 2 digits of 2^10 = 24801
_______16____3765
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24767
Last 2 digits of 2^10 = 247594
Last 2 digits of 2^10 = 24801
Last 2 digits of 2^10 = 24769
Last 2 digits of 2^10 = 247653
Last 2 digits of 2^10 = 247654
Last 2 digits of 2^10 = 247655
Last 2 digits of 2^10 = 247594
Last 2 digits of 2^10 = 247657
Last 2 digits of 2^10 = 24783
Last 2 digits of 2^10 = 247594
Last 2 digits of 2^10 = 247660
Last 2 digits of 2^10 = 247654
Last 2 digits of 2^10 = 247662
Last 2 digits of 2^10 = 247663
Last 2 digits of 2^72 = 9658____3790
Last 2 digits of 2^10 = 247666
Last 2 digits of 2^10 = 247663
Last 2 digits of 2^72 = 9658____3794
Last 2 digits of 2^10 = 247666
Last 2 digits of 2^10 = 247663
Last 2 digits of 2^72 = 9658
Last 2 digits of 2^10 = 24798
Last 2 digits of 2^10 = 247674
Last 2 digits of 2^10 = 247654
Last 2 digits of 2^10 = 247674
Last 2 digits of 2^10 = 24800
Last 2 digits of 2^10 = 247662
Last 2 digits of 2^10 = 247663
Last 2 digits of 2^10 = 247680
Last 2 digits of 2^10 = 247594
Last 2 digits of 2^10 = 247682
Last 2 digits of 2^10 = 247586
Last 2 digits of 2^10 = 247684
Last 2 digits of 2^10 = 247685
Javascript
Last 2 digits of 2^10 = 247686
Last 2 digits of 2^10 = 247687
Last 2 digits of 2^10 = 2480
Last 2 digits of 2^10 = 247592
Last 2 digits of 2^10 = 247690
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247
Last 2 digits of 2^10 = 246____37695
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 962
Last 2 digits of 2^10 = 246____37699
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 966
Last 2 digits of 2^10 = 246
Last 2 digits of 2^72 = 968
_______16____37705
_______16____3753
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24755
_______16____3757
_______16____3759
_______16____3761
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24763
_______16____3765
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24767
Last 2 digits of 2^10 = 24768
Last 2 digits of 2^10 = 24769
Last 2 digits of 2^10 = 24770
Last 2 digits of 2^10 = 246____37726
Last 2 digits of 2^10 = 246____37728
_______16____3783
Last 2 digits of 2^10 = 246____37732
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247734______3790
Last 2 digits of 2^10 = 247736
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247734______3794
Last 2 digits of 2^10 = 247736
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247734
Last 2 digits of 2^10 = 24798
Last 2 digits of 2^10 = 247744
Last 2 digits of 2^10 = 24800
Last 2 digits of 2^10 = 247662
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247748
Last 2 digits of 2^10 = 247749
Last 2 digits of 2^10 = 247662
Last 2 digits of 2^10 = 247751
Last 2 digits of 2^10 = 247752
đầu ra.
Last 2 digits of 2^10 = 24
cách tiếp cận hiệu quả. Cách hiệu quả là chỉ giữ lại 2 chữ số sau mỗi phép nhân. Ý tưởng này rất giống với ý tưởng được thảo luận trong Phép lũy thừa theo mô-đun trong đó một cách chung được thảo luận để tìm [a^b]%c, ở đây trong trường hợp này c là 10^2 vì chỉ cần hai chữ số cuối
Dưới đây là việc thực hiện các phương pháp trên.
C++
Last 2 digits of 2^10 = 2475
Last 2 digits of 2^10 = 247754
Last 2 digits of 2^10 = 2477
Last 2 digits of 2^10 = 2478
Last 2 digits of 2^10 = 2479
Last 2 digits of 2^10 = 247758
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 247760_______11
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 247764
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 247768
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 247772
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 241
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 247778
Last 2 digits of 2^10 = 247779
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247781____37782
Last 2 digits of 2^10 = 246____37784
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247786
Last 2 digits of 2^10 = 247787
Last 2 digits of 2^10 = 2451____37789
Last 2 digits of 2^10 = 2451______938
Last 2 digits of 2^10 = 247792
Last 2 digits of 2^10 = 247793____37794
Last 2 digits of 2^10 = 2451____37796
Last 2 digits of 2^10 = 2451____37798
Last 2 digits of 2^10 = 247799
Last 2 digits of 2^10 = 2451____37801
_______16____3769
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24767
Last 2 digits of 2^10 = 247806
Last 2 digits of 2^10 = 24769
Last 2 digits of 2^10 = 247808
Last 2 digits of 2^10 = 247809
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 247811____381
Last 2 digits of 2^10 = 247813
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 247817
Last 2 digits of 2^10 = 246____37786
Last 2 digits of 2^10 = 247820
Last 2 digits of 2^10 = 2451____37822
Last 2 digits of 2^10 = 2451____37824
_______16____3769
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24767
Last 2 digits of 2^10 = 247829
Last 2 digits of 2^10 = 24769
Last 2 digits of 2^10 = 247831
Last 2 digits of 2^10 = 2447
Last 2 digits of 2^10 = 240
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 247835
Last 2 digits of 2^10 = 245
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24789______3790
Last 2 digits of 2^10 = 24791
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24789
Last 2 digits of 2^10 = 24794
Last 2 digits of 2^10 = 24791
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 24789
Last 2 digits of 2^10 = 24798
Last 2 digits of 2^10 = 24799
Last 2 digits of 2^10 = 24800
Last 2 digits of 2^10 = 24801
Last 2 digits of 2^10 = 246____37852
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 2481
Last 2 digits of 2^10 = 247855
Last 2 digits of 2^10 = 246
Last 2 digits of 2^10 = 247857
Last 2 digits of 2^72 = 9658
Last 2 digits of 2^10 = 24324
Last 2 digits of 2^10 = 247657
Last 2 digits of 2^10 = 24324
Last 2 digits of 2^10 = 24383
Last 2 digits of 2^10 = 24324
Last 2 digits of 2^10 = 24385