[03] RAM4K + RAM512

This commit is contained in:
Nemo 2020-05-20 19:31:35 +05:30
parent 09182a661f
commit e54a23fc3c
6 changed files with 719 additions and 12 deletions

View File

@ -5,3 +5,6 @@ RAM8
RAM64
: Interesting part here is that the MSB|LSB decision is arbitary. You could use the LSB to pick the RAM8 module, and use the MSB as the address within the RAM8, and it _would still work_. The caller for RAM64 doesn't care how you use the "complete address". It just cares that you return the same thing for that address.
RAM512
: I used the premise of the previous note and decided to index the RAM64 moduls by the LSB instead of the customary MSB. It still works :metal:

View File

@ -43,8 +43,8 @@ Make sure you read through the [Hardware Simulator Tutorial](https://b1391bd6-da
- [x] Bit (1 Mux, 1DFF)
- [x] Register (16 Bits)
- [x] RAM8 (8 Registers, 1 DMux8Way, 1 Mux8Way16)
- [x] RAM64
- [ ] RAM512
- [x] RAM64 (8 RAM8, 1 DMux8Way, 1 Mux8Way16)
- [x] RAM512 (8 RAM64, 1 DMux8Way, 1 Mux8Way16)
- [ ] RAM4K
- [ ] RAM16K
- [ ] PC

View File

@ -5,8 +5,8 @@
/**
* Memory of 4K registers, each 16 bit-wide. Out holds the value
* stored at the memory location specified by address. If load==1, then
* the in value is loaded into the memory location specified by address
* stored at the memory location specified by address. If load==1, then
* the in value is loaded into the memory location specified by address
* (the loaded value will be emitted to out from the next time step onward).
*/
@ -15,5 +15,37 @@ CHIP RAM4K {
OUT out[16];
PARTS:
// Put your code here:
}
// The MSB of the address picks which RAM512 module is being picked
DMux8Way(in=load, sel=address[9..11],
a=load1,
b=load2,
c=load3,
d=load4,
e=load5,
f=load6,
g=load7,
h=load8);
// We use the LSB of the address to pick the register inside the RAM512
RAM512(in=in, load=load1, address=address[0..8], out=out1);
RAM512(in=in, load=load2, address=address[0..8], out=out2);
RAM512(in=in, load=load3, address=address[0..8], out=out3);
RAM512(in=in, load=load4, address=address[0..8], out=out4);
RAM512(in=in, load=load5, address=address[0..8], out=out5);
RAM512(in=in, load=load6, address=address[0..8], out=out6);
RAM512(in=in, load=load7, address=address[0..8], out=out7);
RAM512(in=in, load=load8, address=address[0..8], out=out8);
// MSB
Mux8Way16(
a=out1,
b=out2,
c=out3,
d=out4,
e=out5,
f=out6,
g=out7,
h=out8,
sel=address[9..11], out=out);
}

320
projects/03/b/RAM4K.out Normal file
View File

@ -0,0 +1,320 @@
| time | in |load |address | out |
| 0+ | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 |
| 1+ | 0 | 1 | 0 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 2+ | 1111 | 0 | 0 | 0 |
| 3 | 1111 | 0 | 0 | 0 |
| 3+ | 1111 | 1 | 1111 | 0 |
| 4 | 1111 | 1 | 1111 | 1111 |
| 4+ | 1111 | 0 | 0 | 0 |
| 5 | 1111 | 0 | 0 | 0 |
| 5+ | 3513 | 0 | 3513 | 0 |
| 6 | 3513 | 0 | 3513 | 0 |
| 6+ | 3513 | 1 | 3513 | 0 |
| 7 | 3513 | 1 | 3513 | 3513 |
| 7+ | 3513 | 0 | 3513 | 3513 |
| 8 | 3513 | 0 | 3513 | 3513 |
| 8 | 3513 | 0 | 1111 | 1111 |
| 8+ | 4095 | 0 | 1111 | 1111 |
| 9 | 4095 | 0 | 1111 | 1111 |
| 9+ | 4095 | 1 | 4095 | 0 |
| 10 | 4095 | 1 | 4095 | 4095 |
| 10+ | 4095 | 0 | 4095 | 4095 |
| 11 | 4095 | 0 | 4095 | 4095 |
| 11 | 4095 | 0 | 3513 | 3513 |
| 11 | 4095 | 0 | 4095 | 4095 |
| 11+ | 4095 | 0 | 2728 | 0 |
| 12 | 4095 | 0 | 2728 | 0 |
| 12 | 4095 | 0 | 2729 | 0 |
| 12 | 4095 | 0 | 2730 | 0 |
| 12 | 4095 | 0 | 2731 | 0 |
| 12 | 4095 | 0 | 2732 | 0 |
| 12 | 4095 | 0 | 2733 | 0 |
| 12 | 4095 | 0 | 2734 | 0 |
| 12 | 4095 | 0 | 2735 | 0 |
| 12+ | 21845 | 1 | 2728 | 0 |
| 13 | 21845 | 1 | 2728 | 21845 |
| 13+ | 21845 | 1 | 2729 | 0 |
| 14 | 21845 | 1 | 2729 | 21845 |
| 14+ | 21845 | 1 | 2730 | 0 |
| 15 | 21845 | 1 | 2730 | 21845 |
| 15+ | 21845 | 1 | 2731 | 0 |
| 16 | 21845 | 1 | 2731 | 21845 |
| 16+ | 21845 | 1 | 2732 | 0 |
| 17 | 21845 | 1 | 2732 | 21845 |
| 17+ | 21845 | 1 | 2733 | 0 |
| 18 | 21845 | 1 | 2733 | 21845 |
| 18+ | 21845 | 1 | 2734 | 0 |
| 19 | 21845 | 1 | 2734 | 21845 |
| 19+ | 21845 | 1 | 2735 | 0 |
| 20 | 21845 | 1 | 2735 | 21845 |
| 20+ | 21845 | 0 | 2728 | 21845 |
| 21 | 21845 | 0 | 2728 | 21845 |
| 21 | 21845 | 0 | 2729 | 21845 |
| 21 | 21845 | 0 | 2730 | 21845 |
| 21 | 21845 | 0 | 2731 | 21845 |
| 21 | 21845 | 0 | 2732 | 21845 |
| 21 | 21845 | 0 | 2733 | 21845 |
| 21 | 21845 | 0 | 2734 | 21845 |
| 21 | 21845 | 0 | 2735 | 21845 |
| 21+ | -21846 | 1 | 2728 | 21845 |
| 22 | -21846 | 1 | 2728 | -21846 |
| 22+ | -21846 | 0 | 2728 | -21846 |
| 23 | -21846 | 0 | 2728 | -21846 |
| 23 | -21846 | 0 | 2729 | 21845 |
| 23 | -21846 | 0 | 2730 | 21845 |
| 23 | -21846 | 0 | 2731 | 21845 |
| 23 | -21846 | 0 | 2732 | 21845 |
| 23 | -21846 | 0 | 2733 | 21845 |
| 23 | -21846 | 0 | 2734 | 21845 |
| 23 | -21846 | 0 | 2735 | 21845 |
| 23+ | 21845 | 1 | 2728 | -21846 |
| 24 | 21845 | 1 | 2728 | 21845 |
| 24+ | -21846 | 1 | 2729 | 21845 |
| 25 | -21846 | 1 | 2729 | -21846 |
| 25+ | -21846 | 0 | 2728 | 21845 |
| 26 | -21846 | 0 | 2728 | 21845 |
| 26 | -21846 | 0 | 2729 | -21846 |
| 26 | -21846 | 0 | 2730 | 21845 |
| 26 | -21846 | 0 | 2731 | 21845 |
| 26 | -21846 | 0 | 2732 | 21845 |
| 26 | -21846 | 0 | 2733 | 21845 |
| 26 | -21846 | 0 | 2734 | 21845 |
| 26 | -21846 | 0 | 2735 | 21845 |
| 26+ | 21845 | 1 | 2729 | -21846 |
| 27 | 21845 | 1 | 2729 | 21845 |
| 27+ | -21846 | 1 | 2730 | 21845 |
| 28 | -21846 | 1 | 2730 | -21846 |
| 28+ | -21846 | 0 | 2728 | 21845 |
| 29 | -21846 | 0 | 2728 | 21845 |
| 29 | -21846 | 0 | 2729 | 21845 |
| 29 | -21846 | 0 | 2730 | -21846 |
| 29 | -21846 | 0 | 2731 | 21845 |
| 29 | -21846 | 0 | 2732 | 21845 |
| 29 | -21846 | 0 | 2733 | 21845 |
| 29 | -21846 | 0 | 2734 | 21845 |
| 29 | -21846 | 0 | 2735 | 21845 |
| 29+ | 21845 | 1 | 2730 | -21846 |
| 30 | 21845 | 1 | 2730 | 21845 |
| 30+ | -21846 | 1 | 2731 | 21845 |
| 31 | -21846 | 1 | 2731 | -21846 |
| 31+ | -21846 | 0 | 2728 | 21845 |
| 32 | -21846 | 0 | 2728 | 21845 |
| 32 | -21846 | 0 | 2729 | 21845 |
| 32 | -21846 | 0 | 2730 | 21845 |
| 32 | -21846 | 0 | 2731 | -21846 |
| 32 | -21846 | 0 | 2732 | 21845 |
| 32 | -21846 | 0 | 2733 | 21845 |
| 32 | -21846 | 0 | 2734 | 21845 |
| 32 | -21846 | 0 | 2735 | 21845 |
| 32+ | 21845 | 1 | 2731 | -21846 |
| 33 | 21845 | 1 | 2731 | 21845 |
| 33+ | -21846 | 1 | 2732 | 21845 |
| 34 | -21846 | 1 | 2732 | -21846 |
| 34+ | -21846 | 0 | 2728 | 21845 |
| 35 | -21846 | 0 | 2728 | 21845 |
| 35 | -21846 | 0 | 2729 | 21845 |
| 35 | -21846 | 0 | 2730 | 21845 |
| 35 | -21846 | 0 | 2731 | 21845 |
| 35 | -21846 | 0 | 2732 | -21846 |
| 35 | -21846 | 0 | 2733 | 21845 |
| 35 | -21846 | 0 | 2734 | 21845 |
| 35 | -21846 | 0 | 2735 | 21845 |
| 35+ | 21845 | 1 | 2732 | -21846 |
| 36 | 21845 | 1 | 2732 | 21845 |
| 36+ | -21846 | 1 | 2733 | 21845 |
| 37 | -21846 | 1 | 2733 | -21846 |
| 37+ | -21846 | 0 | 2728 | 21845 |
| 38 | -21846 | 0 | 2728 | 21845 |
| 38 | -21846 | 0 | 2729 | 21845 |
| 38 | -21846 | 0 | 2730 | 21845 |
| 38 | -21846 | 0 | 2731 | 21845 |
| 38 | -21846 | 0 | 2732 | 21845 |
| 38 | -21846 | 0 | 2733 | -21846 |
| 38 | -21846 | 0 | 2734 | 21845 |
| 38 | -21846 | 0 | 2735 | 21845 |
| 38+ | 21845 | 1 | 2733 | -21846 |
| 39 | 21845 | 1 | 2733 | 21845 |
| 39+ | -21846 | 1 | 2734 | 21845 |
| 40 | -21846 | 1 | 2734 | -21846 |
| 40+ | -21846 | 0 | 2728 | 21845 |
| 41 | -21846 | 0 | 2728 | 21845 |
| 41 | -21846 | 0 | 2729 | 21845 |
| 41 | -21846 | 0 | 2730 | 21845 |
| 41 | -21846 | 0 | 2731 | 21845 |
| 41 | -21846 | 0 | 2732 | 21845 |
| 41 | -21846 | 0 | 2733 | 21845 |
| 41 | -21846 | 0 | 2734 | -21846 |
| 41 | -21846 | 0 | 2735 | 21845 |
| 41+ | 21845 | 1 | 2734 | -21846 |
| 42 | 21845 | 1 | 2734 | 21845 |
| 42+ | -21846 | 1 | 2735 | 21845 |
| 43 | -21846 | 1 | 2735 | -21846 |
| 43+ | -21846 | 0 | 2728 | 21845 |
| 44 | -21846 | 0 | 2728 | 21845 |
| 44 | -21846 | 0 | 2729 | 21845 |
| 44 | -21846 | 0 | 2730 | 21845 |
| 44 | -21846 | 0 | 2731 | 21845 |
| 44 | -21846 | 0 | 2732 | 21845 |
| 44 | -21846 | 0 | 2733 | 21845 |
| 44 | -21846 | 0 | 2734 | 21845 |
| 44 | -21846 | 0 | 2735 | -21846 |
| 44+ | 21845 | 1 | 2735 | -21846 |
| 45 | 21845 | 1 | 2735 | 21845 |
| 45+ | 21845 | 0 | 2728 | 21845 |
| 46 | 21845 | 0 | 2728 | 21845 |
| 46 | 21845 | 0 | 2729 | 21845 |
| 46 | 21845 | 0 | 2730 | 21845 |
| 46 | 21845 | 0 | 2731 | 21845 |
| 46 | 21845 | 0 | 2732 | 21845 |
| 46 | 21845 | 0 | 2733 | 21845 |
| 46 | 21845 | 0 | 2734 | 21845 |
| 46 | 21845 | 0 | 2735 | 21845 |
| 46+ | 21845 | 0 | 341 | 0 |
| 47 | 21845 | 0 | 341 | 0 |
| 47 | 21845 | 0 | 853 | 0 |
| 47 | 21845 | 0 | 1365 | 0 |
| 47 | 21845 | 0 | 1877 | 0 |
| 47 | 21845 | 0 | 2389 | 0 |
| 47 | 21845 | 0 | 2901 | 0 |
| 47 | 21845 | 0 | 3413 | 0 |
| 47 | 21845 | 0 | 3925 | 0 |
| 47+ | 21845 | 1 | 341 | 0 |
| 48 | 21845 | 1 | 341 | 21845 |
| 48+ | 21845 | 1 | 853 | 0 |
| 49 | 21845 | 1 | 853 | 21845 |
| 49+ | 21845 | 1 | 1365 | 0 |
| 50 | 21845 | 1 | 1365 | 21845 |
| 50+ | 21845 | 1 | 1877 | 0 |
| 51 | 21845 | 1 | 1877 | 21845 |
| 51+ | 21845 | 1 | 2389 | 0 |
| 52 | 21845 | 1 | 2389 | 21845 |
| 52+ | 21845 | 1 | 2901 | 0 |
| 53 | 21845 | 1 | 2901 | 21845 |
| 53+ | 21845 | 1 | 3413 | 0 |
| 54 | 21845 | 1 | 3413 | 21845 |
| 54+ | 21845 | 1 | 3925 | 0 |
| 55 | 21845 | 1 | 3925 | 21845 |
| 55+ | 21845 | 0 | 341 | 21845 |
| 56 | 21845 | 0 | 341 | 21845 |
| 56 | 21845 | 0 | 853 | 21845 |
| 56 | 21845 | 0 | 1365 | 21845 |
| 56 | 21845 | 0 | 1877 | 21845 |
| 56 | 21845 | 0 | 2389 | 21845 |
| 56 | 21845 | 0 | 2901 | 21845 |
| 56 | 21845 | 0 | 3413 | 21845 |
| 56 | 21845 | 0 | 3925 | 21845 |
| 56+ | -21846 | 1 | 341 | 21845 |
| 57 | -21846 | 1 | 341 | -21846 |
| 57+ | -21846 | 0 | 341 | -21846 |
| 58 | -21846 | 0 | 341 | -21846 |
| 58 | -21846 | 0 | 853 | 21845 |
| 58 | -21846 | 0 | 1365 | 21845 |
| 58 | -21846 | 0 | 1877 | 21845 |
| 58 | -21846 | 0 | 2389 | 21845 |
| 58 | -21846 | 0 | 2901 | 21845 |
| 58 | -21846 | 0 | 3413 | 21845 |
| 58 | -21846 | 0 | 3925 | 21845 |
| 58+ | 21845 | 1 | 341 | -21846 |
| 59 | 21845 | 1 | 341 | 21845 |
| 59+ | -21846 | 1 | 853 | 21845 |
| 60 | -21846 | 1 | 853 | -21846 |
| 60+ | -21846 | 0 | 341 | 21845 |
| 61 | -21846 | 0 | 341 | 21845 |
| 61 | -21846 | 0 | 853 | -21846 |
| 61 | -21846 | 0 | 1365 | 21845 |
| 61 | -21846 | 0 | 1877 | 21845 |
| 61 | -21846 | 0 | 2389 | 21845 |
| 61 | -21846 | 0 | 2901 | 21845 |
| 61 | -21846 | 0 | 3413 | 21845 |
| 61 | -21846 | 0 | 3925 | 21845 |
| 61+ | 21845 | 1 | 853 | -21846 |
| 62 | 21845 | 1 | 853 | 21845 |
| 62+ | -21846 | 1 | 1365 | 21845 |
| 63 | -21846 | 1 | 1365 | -21846 |
| 63+ | -21846 | 0 | 341 | 21845 |
| 64 | -21846 | 0 | 341 | 21845 |
| 64 | -21846 | 0 | 853 | 21845 |
| 64 | -21846 | 0 | 1365 | -21846 |
| 64 | -21846 | 0 | 1877 | 21845 |
| 64 | -21846 | 0 | 2389 | 21845 |
| 64 | -21846 | 0 | 2901 | 21845 |
| 64 | -21846 | 0 | 3413 | 21845 |
| 64 | -21846 | 0 | 3925 | 21845 |
| 64+ | 21845 | 1 | 1365 | -21846 |
| 65 | 21845 | 1 | 1365 | 21845 |
| 65+ | -21846 | 1 | 1877 | 21845 |
| 66 | -21846 | 1 | 1877 | -21846 |
| 66+ | -21846 | 0 | 341 | 21845 |
| 67 | -21846 | 0 | 341 | 21845 |
| 67 | -21846 | 0 | 853 | 21845 |
| 67 | -21846 | 0 | 1365 | 21845 |
| 67 | -21846 | 0 | 1877 | -21846 |
| 67 | -21846 | 0 | 2389 | 21845 |
| 67 | -21846 | 0 | 2901 | 21845 |
| 67 | -21846 | 0 | 3413 | 21845 |
| 67 | -21846 | 0 | 3925 | 21845 |
| 67+ | 21845 | 1 | 1877 | -21846 |
| 68 | 21845 | 1 | 1877 | 21845 |
| 68+ | -21846 | 1 | 2389 | 21845 |
| 69 | -21846 | 1 | 2389 | -21846 |
| 69+ | -21846 | 0 | 341 | 21845 |
| 70 | -21846 | 0 | 341 | 21845 |
| 70 | -21846 | 0 | 853 | 21845 |
| 70 | -21846 | 0 | 1365 | 21845 |
| 70 | -21846 | 0 | 1877 | 21845 |
| 70 | -21846 | 0 | 2389 | -21846 |
| 70 | -21846 | 0 | 2901 | 21845 |
| 70 | -21846 | 0 | 3413 | 21845 |
| 70 | -21846 | 0 | 3925 | 21845 |
| 70+ | 21845 | 1 | 2389 | -21846 |
| 71 | 21845 | 1 | 2389 | 21845 |
| 71+ | -21846 | 1 | 2901 | 21845 |
| 72 | -21846 | 1 | 2901 | -21846 |
| 72+ | -21846 | 0 | 341 | 21845 |
| 73 | -21846 | 0 | 341 | 21845 |
| 73 | -21846 | 0 | 853 | 21845 |
| 73 | -21846 | 0 | 1365 | 21845 |
| 73 | -21846 | 0 | 1877 | 21845 |
| 73 | -21846 | 0 | 2389 | 21845 |
| 73 | -21846 | 0 | 2901 | -21846 |
| 73 | -21846 | 0 | 3413 | 21845 |
| 73 | -21846 | 0 | 3925 | 21845 |
| 73+ | 21845 | 1 | 2901 | -21846 |
| 74 | 21845 | 1 | 2901 | 21845 |
| 74+ | -21846 | 1 | 3413 | 21845 |
| 75 | -21846 | 1 | 3413 | -21846 |
| 75+ | -21846 | 0 | 341 | 21845 |
| 76 | -21846 | 0 | 341 | 21845 |
| 76 | -21846 | 0 | 853 | 21845 |
| 76 | -21846 | 0 | 1365 | 21845 |
| 76 | -21846 | 0 | 1877 | 21845 |
| 76 | -21846 | 0 | 2389 | 21845 |
| 76 | -21846 | 0 | 2901 | 21845 |
| 76 | -21846 | 0 | 3413 | -21846 |
| 76 | -21846 | 0 | 3925 | 21845 |
| 76+ | 21845 | 1 | 3413 | -21846 |
| 77 | 21845 | 1 | 3413 | 21845 |
| 77+ | -21846 | 1 | 3925 | 21845 |
| 78 | -21846 | 1 | 3925 | -21846 |
| 78+ | -21846 | 0 | 341 | 21845 |
| 79 | -21846 | 0 | 341 | 21845 |
| 79 | -21846 | 0 | 853 | 21845 |
| 79 | -21846 | 0 | 1365 | 21845 |
| 79 | -21846 | 0 | 1877 | 21845 |
| 79 | -21846 | 0 | 2389 | 21845 |
| 79 | -21846 | 0 | 2901 | 21845 |
| 79 | -21846 | 0 | 3413 | 21845 |
| 79 | -21846 | 0 | 3925 | -21846 |
| 79+ | 21845 | 1 | 3925 | -21846 |
| 80 | 21845 | 1 | 3925 | 21845 |
| 80+ | 21845 | 0 | 341 | 21845 |
| 81 | 21845 | 0 | 341 | 21845 |
| 81 | 21845 | 0 | 853 | 21845 |
| 81 | 21845 | 0 | 1365 | 21845 |
| 81 | 21845 | 0 | 1877 | 21845 |
| 81 | 21845 | 0 | 2389 | 21845 |
| 81 | 21845 | 0 | 2901 | 21845 |
| 81 | 21845 | 0 | 3413 | 21845 |
| 81 | 21845 | 0 | 3925 | 21845 |

View File

@ -1,12 +1,12 @@
// This file is part of the materials accompanying the book
// "The Elements of Computing Systems" by Nisan and Schocken,
// This file is part of the materials accompanying the book
// "The Elements of Computing Systems" by Nisan and Schocken,
// MIT Press. Book site: www.idc.ac.il/tecs
// File name: projects/03/b/RAM512.hdl
/**
* Memory of 512 registers, each 16 bit-wide. Out holds the value
* stored at the memory location specified by address. If load==1, then
* the in value is loaded into the memory location specified by address
* stored at the memory location specified by address. If load==1, then
* the in value is loaded into the memory location specified by address
* (the loaded value will be emitted to out from the next time step onward).
*/
@ -15,5 +15,37 @@ CHIP RAM512 {
OUT out[16];
PARTS:
// Put your code here:
}
// To flip things here, let's use the
// LSB to address the RAM64 modules
DMux8Way(in=load, sel=address[0..2],
a=load1,
b=load2,
c=load3,
d=load4,
e=load5,
f=load6,
g=load7,
h=load8);
// We use the MSB to index inside the RAM64s
RAM64(in=in, load=load1, address=address[3..8], out=out1);
RAM64(in=in, load=load2, address=address[3..8], out=out2);
RAM64(in=in, load=load3, address=address[3..8], out=out3);
RAM64(in=in, load=load4, address=address[3..8], out=out4);
RAM64(in=in, load=load5, address=address[3..8], out=out5);
RAM64(in=in, load=load6, address=address[3..8], out=out6);
RAM64(in=in, load=load7, address=address[3..8], out=out7);
RAM64(in=in, load=load8, address=address[3..8], out=out8);
// Now we use the LSB again to pick the correct RAM output
Mux8Way16(
a=out1,
b=out2,
c=out3,
d=out4,
e=out5,
f=out6,
g=out7,
h=out8,
sel=address[0..2], out=out);
}

320
projects/03/b/RAM512.out Normal file
View File

@ -0,0 +1,320 @@
| time | in |load |address| out |
| 0+ | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 |
| 1+ | 0 | 1 | 0 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 2+ | 13099 | 0 | 0 | 0 |
| 3 | 13099 | 0 | 0 | 0 |
| 3+ | 13099 | 1 | 130 | 0 |
| 4 | 13099 | 1 | 130 | 13099 |
| 4+ | 13099 | 0 | 0 | 0 |
| 5 | 13099 | 0 | 0 | 0 |
| 5+ | 4729 | 0 | 472 | 0 |
| 6 | 4729 | 0 | 472 | 0 |
| 6+ | 4729 | 1 | 472 | 0 |
| 7 | 4729 | 1 | 472 | 4729 |
| 7+ | 4729 | 0 | 472 | 4729 |
| 8 | 4729 | 0 | 472 | 4729 |
| 8 | 4729 | 0 | 130 | 13099 |
| 8+ | 5119 | 0 | 130 | 13099 |
| 9 | 5119 | 0 | 130 | 13099 |
| 9+ | 5119 | 1 | 511 | 0 |
| 10 | 5119 | 1 | 511 | 5119 |
| 10+ | 5119 | 0 | 511 | 5119 |
| 11 | 5119 | 0 | 511 | 5119 |
| 11 | 5119 | 0 | 472 | 4729 |
| 11 | 5119 | 0 | 511 | 5119 |
| 11+ | 5119 | 0 | 168 | 0 |
| 12 | 5119 | 0 | 168 | 0 |
| 12 | 5119 | 0 | 169 | 0 |
| 12 | 5119 | 0 | 170 | 0 |
| 12 | 5119 | 0 | 171 | 0 |
| 12 | 5119 | 0 | 172 | 0 |
| 12 | 5119 | 0 | 173 | 0 |
| 12 | 5119 | 0 | 174 | 0 |
| 12 | 5119 | 0 | 175 | 0 |
| 12+ | 21845 | 1 | 168 | 0 |
| 13 | 21845 | 1 | 168 | 21845 |
| 13+ | 21845 | 1 | 169 | 0 |
| 14 | 21845 | 1 | 169 | 21845 |
| 14+ | 21845 | 1 | 170 | 0 |
| 15 | 21845 | 1 | 170 | 21845 |
| 15+ | 21845 | 1 | 171 | 0 |
| 16 | 21845 | 1 | 171 | 21845 |
| 16+ | 21845 | 1 | 172 | 0 |
| 17 | 21845 | 1 | 172 | 21845 |
| 17+ | 21845 | 1 | 173 | 0 |
| 18 | 21845 | 1 | 173 | 21845 |
| 18+ | 21845 | 1 | 174 | 0 |
| 19 | 21845 | 1 | 174 | 21845 |
| 19+ | 21845 | 1 | 175 | 0 |
| 20 | 21845 | 1 | 175 | 21845 |
| 20+ | 21845 | 0 | 168 | 21845 |
| 21 | 21845 | 0 | 168 | 21845 |
| 21 | 21845 | 0 | 169 | 21845 |
| 21 | 21845 | 0 | 170 | 21845 |
| 21 | 21845 | 0 | 171 | 21845 |
| 21 | 21845 | 0 | 172 | 21845 |
| 21 | 21845 | 0 | 173 | 21845 |
| 21 | 21845 | 0 | 174 | 21845 |
| 21 | 21845 | 0 | 175 | 21845 |
| 21+ | -21846 | 1 | 168 | 21845 |
| 22 | -21846 | 1 | 168 | -21846 |
| 22+ | -21846 | 0 | 168 | -21846 |
| 23 | -21846 | 0 | 168 | -21846 |
| 23 | -21846 | 0 | 169 | 21845 |
| 23 | -21846 | 0 | 170 | 21845 |
| 23 | -21846 | 0 | 171 | 21845 |
| 23 | -21846 | 0 | 172 | 21845 |
| 23 | -21846 | 0 | 173 | 21845 |
| 23 | -21846 | 0 | 174 | 21845 |
| 23 | -21846 | 0 | 175 | 21845 |
| 23+ | 21845 | 1 | 168 | -21846 |
| 24 | 21845 | 1 | 168 | 21845 |
| 24+ | -21846 | 1 | 169 | 21845 |
| 25 | -21846 | 1 | 169 | -21846 |
| 25+ | -21846 | 0 | 168 | 21845 |
| 26 | -21846 | 0 | 168 | 21845 |
| 26 | -21846 | 0 | 169 | -21846 |
| 26 | -21846 | 0 | 170 | 21845 |
| 26 | -21846 | 0 | 171 | 21845 |
| 26 | -21846 | 0 | 172 | 21845 |
| 26 | -21846 | 0 | 173 | 21845 |
| 26 | -21846 | 0 | 174 | 21845 |
| 26 | -21846 | 0 | 175 | 21845 |
| 26+ | 21845 | 1 | 169 | -21846 |
| 27 | 21845 | 1 | 169 | 21845 |
| 27+ | -21846 | 1 | 170 | 21845 |
| 28 | -21846 | 1 | 170 | -21846 |
| 28+ | -21846 | 0 | 168 | 21845 |
| 29 | -21846 | 0 | 168 | 21845 |
| 29 | -21846 | 0 | 169 | 21845 |
| 29 | -21846 | 0 | 170 | -21846 |
| 29 | -21846 | 0 | 171 | 21845 |
| 29 | -21846 | 0 | 172 | 21845 |
| 29 | -21846 | 0 | 173 | 21845 |
| 29 | -21846 | 0 | 174 | 21845 |
| 29 | -21846 | 0 | 175 | 21845 |
| 29+ | 21845 | 1 | 170 | -21846 |
| 30 | 21845 | 1 | 170 | 21845 |
| 30+ | -21846 | 1 | 171 | 21845 |
| 31 | -21846 | 1 | 171 | -21846 |
| 31+ | -21846 | 0 | 168 | 21845 |
| 32 | -21846 | 0 | 168 | 21845 |
| 32 | -21846 | 0 | 169 | 21845 |
| 32 | -21846 | 0 | 170 | 21845 |
| 32 | -21846 | 0 | 171 | -21846 |
| 32 | -21846 | 0 | 172 | 21845 |
| 32 | -21846 | 0 | 173 | 21845 |
| 32 | -21846 | 0 | 174 | 21845 |
| 32 | -21846 | 0 | 175 | 21845 |
| 32+ | 21845 | 1 | 171 | -21846 |
| 33 | 21845 | 1 | 171 | 21845 |
| 33+ | -21846 | 1 | 172 | 21845 |
| 34 | -21846 | 1 | 172 | -21846 |
| 34+ | -21846 | 0 | 168 | 21845 |
| 35 | -21846 | 0 | 168 | 21845 |
| 35 | -21846 | 0 | 169 | 21845 |
| 35 | -21846 | 0 | 170 | 21845 |
| 35 | -21846 | 0 | 171 | 21845 |
| 35 | -21846 | 0 | 172 | -21846 |
| 35 | -21846 | 0 | 173 | 21845 |
| 35 | -21846 | 0 | 174 | 21845 |
| 35 | -21846 | 0 | 175 | 21845 |
| 35+ | 21845 | 1 | 172 | -21846 |
| 36 | 21845 | 1 | 172 | 21845 |
| 36+ | -21846 | 1 | 173 | 21845 |
| 37 | -21846 | 1 | 173 | -21846 |
| 37+ | -21846 | 0 | 168 | 21845 |
| 38 | -21846 | 0 | 168 | 21845 |
| 38 | -21846 | 0 | 169 | 21845 |
| 38 | -21846 | 0 | 170 | 21845 |
| 38 | -21846 | 0 | 171 | 21845 |
| 38 | -21846 | 0 | 172 | 21845 |
| 38 | -21846 | 0 | 173 | -21846 |
| 38 | -21846 | 0 | 174 | 21845 |
| 38 | -21846 | 0 | 175 | 21845 |
| 38+ | 21845 | 1 | 173 | -21846 |
| 39 | 21845 | 1 | 173 | 21845 |
| 39+ | -21846 | 1 | 174 | 21845 |
| 40 | -21846 | 1 | 174 | -21846 |
| 40+ | -21846 | 0 | 168 | 21845 |
| 41 | -21846 | 0 | 168 | 21845 |
| 41 | -21846 | 0 | 169 | 21845 |
| 41 | -21846 | 0 | 170 | 21845 |
| 41 | -21846 | 0 | 171 | 21845 |
| 41 | -21846 | 0 | 172 | 21845 |
| 41 | -21846 | 0 | 173 | 21845 |
| 41 | -21846 | 0 | 174 | -21846 |
| 41 | -21846 | 0 | 175 | 21845 |
| 41+ | 21845 | 1 | 174 | -21846 |
| 42 | 21845 | 1 | 174 | 21845 |
| 42+ | -21846 | 1 | 175 | 21845 |
| 43 | -21846 | 1 | 175 | -21846 |
| 43+ | -21846 | 0 | 168 | 21845 |
| 44 | -21846 | 0 | 168 | 21845 |
| 44 | -21846 | 0 | 169 | 21845 |
| 44 | -21846 | 0 | 170 | 21845 |
| 44 | -21846 | 0 | 171 | 21845 |
| 44 | -21846 | 0 | 172 | 21845 |
| 44 | -21846 | 0 | 173 | 21845 |
| 44 | -21846 | 0 | 174 | 21845 |
| 44 | -21846 | 0 | 175 | -21846 |
| 44+ | 21845 | 1 | 175 | -21846 |
| 45 | 21845 | 1 | 175 | 21845 |
| 45+ | 21845 | 0 | 168 | 21845 |
| 46 | 21845 | 0 | 168 | 21845 |
| 46 | 21845 | 0 | 169 | 21845 |
| 46 | 21845 | 0 | 170 | 21845 |
| 46 | 21845 | 0 | 171 | 21845 |
| 46 | 21845 | 0 | 172 | 21845 |
| 46 | 21845 | 0 | 173 | 21845 |
| 46 | 21845 | 0 | 174 | 21845 |
| 46 | 21845 | 0 | 175 | 21845 |
| 46+ | 21845 | 0 | 42 | 0 |
| 47 | 21845 | 0 | 42 | 0 |
| 47 | 21845 | 0 | 106 | 0 |
| 47 | 21845 | 0 | 170 | 21845 |
| 47 | 21845 | 0 | 234 | 0 |
| 47 | 21845 | 0 | 298 | 0 |
| 47 | 21845 | 0 | 362 | 0 |
| 47 | 21845 | 0 | 426 | 0 |
| 47 | 21845 | 0 | 490 | 0 |
| 47+ | 21845 | 1 | 42 | 0 |
| 48 | 21845 | 1 | 42 | 21845 |
| 48+ | 21845 | 1 | 106 | 0 |
| 49 | 21845 | 1 | 106 | 21845 |
| 49+ | 21845 | 1 | 170 | 21845 |
| 50 | 21845 | 1 | 170 | 21845 |
| 50+ | 21845 | 1 | 234 | 0 |
| 51 | 21845 | 1 | 234 | 21845 |
| 51+ | 21845 | 1 | 298 | 0 |
| 52 | 21845 | 1 | 298 | 21845 |
| 52+ | 21845 | 1 | 362 | 0 |
| 53 | 21845 | 1 | 362 | 21845 |
| 53+ | 21845 | 1 | 426 | 0 |
| 54 | 21845 | 1 | 426 | 21845 |
| 54+ | 21845 | 1 | 490 | 0 |
| 55 | 21845 | 1 | 490 | 21845 |
| 55+ | 21845 | 0 | 42 | 21845 |
| 56 | 21845 | 0 | 42 | 21845 |
| 56 | 21845 | 0 | 106 | 21845 |
| 56 | 21845 | 0 | 170 | 21845 |
| 56 | 21845 | 0 | 234 | 21845 |
| 56 | 21845 | 0 | 298 | 21845 |
| 56 | 21845 | 0 | 362 | 21845 |
| 56 | 21845 | 0 | 426 | 21845 |
| 56 | 21845 | 0 | 490 | 21845 |
| 56+ | -21846 | 1 | 42 | 21845 |
| 57 | -21846 | 1 | 42 | -21846 |
| 57+ | -21846 | 0 | 42 | -21846 |
| 58 | -21846 | 0 | 42 | -21846 |
| 58 | -21846 | 0 | 106 | 21845 |
| 58 | -21846 | 0 | 170 | 21845 |
| 58 | -21846 | 0 | 234 | 21845 |
| 58 | -21846 | 0 | 298 | 21845 |
| 58 | -21846 | 0 | 362 | 21845 |
| 58 | -21846 | 0 | 426 | 21845 |
| 58 | -21846 | 0 | 490 | 21845 |
| 58+ | 21845 | 1 | 42 | -21846 |
| 59 | 21845 | 1 | 42 | 21845 |
| 59+ | -21846 | 1 | 106 | 21845 |
| 60 | -21846 | 1 | 106 | -21846 |
| 60+ | -21846 | 0 | 42 | 21845 |
| 61 | -21846 | 0 | 42 | 21845 |
| 61 | -21846 | 0 | 106 | -21846 |
| 61 | -21846 | 0 | 170 | 21845 |
| 61 | -21846 | 0 | 234 | 21845 |
| 61 | -21846 | 0 | 298 | 21845 |
| 61 | -21846 | 0 | 362 | 21845 |
| 61 | -21846 | 0 | 426 | 21845 |
| 61 | -21846 | 0 | 490 | 21845 |
| 61+ | 21845 | 1 | 106 | -21846 |
| 62 | 21845 | 1 | 106 | 21845 |
| 62+ | -21846 | 1 | 170 | 21845 |
| 63 | -21846 | 1 | 170 | -21846 |
| 63+ | -21846 | 0 | 42 | 21845 |
| 64 | -21846 | 0 | 42 | 21845 |
| 64 | -21846 | 0 | 106 | 21845 |
| 64 | -21846 | 0 | 170 | -21846 |
| 64 | -21846 | 0 | 234 | 21845 |
| 64 | -21846 | 0 | 298 | 21845 |
| 64 | -21846 | 0 | 362 | 21845 |
| 64 | -21846 | 0 | 426 | 21845 |
| 64 | -21846 | 0 | 490 | 21845 |
| 64+ | 21845 | 1 | 170 | -21846 |
| 65 | 21845 | 1 | 170 | 21845 |
| 65+ | -21846 | 1 | 234 | 21845 |
| 66 | -21846 | 1 | 234 | -21846 |
| 66+ | -21846 | 0 | 42 | 21845 |
| 67 | -21846 | 0 | 42 | 21845 |
| 67 | -21846 | 0 | 106 | 21845 |
| 67 | -21846 | 0 | 170 | 21845 |
| 67 | -21846 | 0 | 234 | -21846 |
| 67 | -21846 | 0 | 298 | 21845 |
| 67 | -21846 | 0 | 362 | 21845 |
| 67 | -21846 | 0 | 426 | 21845 |
| 67 | -21846 | 0 | 490 | 21845 |
| 67+ | 21845 | 1 | 234 | -21846 |
| 68 | 21845 | 1 | 234 | 21845 |
| 68+ | -21846 | 1 | 298 | 21845 |
| 69 | -21846 | 1 | 298 | -21846 |
| 69+ | -21846 | 0 | 42 | 21845 |
| 70 | -21846 | 0 | 42 | 21845 |
| 70 | -21846 | 0 | 106 | 21845 |
| 70 | -21846 | 0 | 170 | 21845 |
| 70 | -21846 | 0 | 234 | 21845 |
| 70 | -21846 | 0 | 298 | -21846 |
| 70 | -21846 | 0 | 362 | 21845 |
| 70 | -21846 | 0 | 426 | 21845 |
| 70 | -21846 | 0 | 490 | 21845 |
| 70+ | 21845 | 1 | 298 | -21846 |
| 71 | 21845 | 1 | 298 | 21845 |
| 71+ | -21846 | 1 | 362 | 21845 |
| 72 | -21846 | 1 | 362 | -21846 |
| 72+ | -21846 | 0 | 42 | 21845 |
| 73 | -21846 | 0 | 42 | 21845 |
| 73 | -21846 | 0 | 106 | 21845 |
| 73 | -21846 | 0 | 170 | 21845 |
| 73 | -21846 | 0 | 234 | 21845 |
| 73 | -21846 | 0 | 298 | 21845 |
| 73 | -21846 | 0 | 362 | -21846 |
| 73 | -21846 | 0 | 426 | 21845 |
| 73 | -21846 | 0 | 490 | 21845 |
| 73+ | 21845 | 1 | 362 | -21846 |
| 74 | 21845 | 1 | 362 | 21845 |
| 74+ | -21846 | 1 | 426 | 21845 |
| 75 | -21846 | 1 | 426 | -21846 |
| 75+ | -21846 | 0 | 42 | 21845 |
| 76 | -21846 | 0 | 42 | 21845 |
| 76 | -21846 | 0 | 106 | 21845 |
| 76 | -21846 | 0 | 170 | 21845 |
| 76 | -21846 | 0 | 234 | 21845 |
| 76 | -21846 | 0 | 298 | 21845 |
| 76 | -21846 | 0 | 362 | 21845 |
| 76 | -21846 | 0 | 426 | -21846 |
| 76 | -21846 | 0 | 490 | 21845 |
| 76+ | 21845 | 1 | 426 | -21846 |
| 77 | 21845 | 1 | 426 | 21845 |
| 77+ | -21846 | 1 | 490 | 21845 |
| 78 | -21846 | 1 | 490 | -21846 |
| 78+ | -21846 | 0 | 42 | 21845 |
| 79 | -21846 | 0 | 42 | 21845 |
| 79 | -21846 | 0 | 106 | 21845 |
| 79 | -21846 | 0 | 170 | 21845 |
| 79 | -21846 | 0 | 234 | 21845 |
| 79 | -21846 | 0 | 298 | 21845 |
| 79 | -21846 | 0 | 362 | 21845 |
| 79 | -21846 | 0 | 426 | 21845 |
| 79 | -21846 | 0 | 490 | -21846 |
| 79+ | 21845 | 1 | 490 | -21846 |
| 80 | 21845 | 1 | 490 | 21845 |
| 80+ | 21845 | 0 | 42 | 21845 |
| 81 | 21845 | 0 | 42 | 21845 |
| 81 | 21845 | 0 | 106 | 21845 |
| 81 | 21845 | 0 | 170 | 21845 |
| 81 | 21845 | 0 | 234 | 21845 |
| 81 | 21845 | 0 | 298 | 21845 |
| 81 | 21845 | 0 | 362 | 21845 |
| 81 | 21845 | 0 | 426 | 21845 |
| 81 | 21845 | 0 | 490 | 21845 |