blob: 0d0ea9de46e79996c6cd48e2a99b501875a3be75 [file] [log] [blame]
# Montgomery Arithmetic; values are in the range [0, q).
a = 00
b = 00
r = 00
a = 00
b = 01
r = 01
a = 00
b = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffe
r = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffe
a = 01
b = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffe
r = 00
a = 02
b = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffe
r = 01
a = 03
b = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffe
r = 02
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7fffffff80000000000000007fffffff
b = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7fffffff800000000000000080000000
r = 00
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7fffffff800000000000000080000000
b = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7fffffff800000000000000080000000
r = 01
a = 800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
b = 800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
r = 0100000000ffffffffffffffff00000001
a = 800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
b = 800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
r = 0100000000ffffffffffffffff00000001
a = 8000000000000000000000000000000000000000000000000000000000000000800000007fffffffffffffff80000001
b = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7fffffff80000000000000007fffffff
r = 0100000000ffffffffffffffff00000001
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
r = 0100000000ffffffffffffffff00000000
a = 8000000000000000000000000000000000000000000000000000000000000000800000007fffffffffffffff80000000
b = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7fffffff80000000000000007fffffff
r = 0100000000ffffffffffffffff00000000
# Carry Propagation.
a = ff
b = 01
r = 0100
a = 01ff
b = 01
r = 0200
a = 03ff
b = 01
r = 0400
a = 07ff
b = 01
r = 0800
a = 0fff
b = 01
r = 1000
a = 1fff
b = 01
r = 2000
a = 3fff
b = 01
r = 4000
a = 7fff
b = 01
r = 8000
a = ffff
b = 01
r = 010000
a = 01ffff
b = 01
r = 020000
a = 03ffff
b = 01
r = 040000
a = 07ffff
b = 01
r = 080000
a = 0fffff
b = 01
r = 100000
a = 1fffff
b = 01
r = 200000
a = 3fffff
b = 01
r = 400000
a = 7fffff
b = 01
r = 800000
a = ffffff
b = 01
r = 01000000
a = 01ffffff
b = 01
r = 02000000
a = 03ffffff
b = 01
r = 04000000
a = 07ffffff
b = 01
r = 08000000
a = 0fffffff
b = 01
r = 10000000
a = 1fffffff
b = 01
r = 20000000
a = 3fffffff
b = 01
r = 40000000
a = 7fffffff
b = 01
r = 80000000
a = ffffffff
b = 01
r = 0100000000
a = 01ffffffff
b = 01
r = 0200000000
a = 03ffffffff
b = 01
r = 0400000000
a = 07ffffffff
b = 01
r = 0800000000
a = 0fffffffff
b = 01
r = 1000000000
a = 1fffffffff
b = 01
r = 2000000000
a = 3fffffffff
b = 01
r = 4000000000
a = 7fffffffff
b = 01
r = 8000000000
a = ffffffffff
b = 01
r = 010000000000
a = 01ffffffffff
b = 01
r = 020000000000
a = 03ffffffffff
b = 01
r = 040000000000
a = 07ffffffffff
b = 01
r = 080000000000
a = 0fffffffffff
b = 01
r = 100000000000
a = 1fffffffffff
b = 01
r = 200000000000
a = 3fffffffffff
b = 01
r = 400000000000
a = 7fffffffffff
b = 01
r = 800000000000
a = ffffffffffff
b = 01
r = 01000000000000
a = 01ffffffffffff
b = 01
r = 02000000000000
a = 03ffffffffffff
b = 01
r = 04000000000000
a = 07ffffffffffff
b = 01
r = 08000000000000
a = 0fffffffffffff
b = 01
r = 10000000000000
a = 1fffffffffffff
b = 01
r = 20000000000000
a = 3fffffffffffff
b = 01
r = 40000000000000
a = 7fffffffffffff
b = 01
r = 80000000000000
a = ffffffffffffff
b = 01
r = 0100000000000000
a = 01ffffffffffffff
b = 01
r = 0200000000000000
a = 03ffffffffffffff
b = 01
r = 0400000000000000
a = 07ffffffffffffff
b = 01
r = 0800000000000000
a = 0fffffffffffffff
b = 01
r = 1000000000000000
a = 1fffffffffffffff
b = 01
r = 2000000000000000
a = 3fffffffffffffff
b = 01
r = 4000000000000000
a = 7fffffffffffffff
b = 01
r = 8000000000000000
a = ffffffffffffffff
b = 01
r = 010000000000000000
a = 01ffffffffffffffff
b = 01
r = 020000000000000000
a = 03ffffffffffffffff
b = 01
r = 040000000000000000
a = 07ffffffffffffffff
b = 01
r = 080000000000000000
a = 0fffffffffffffffff
b = 01
r = 100000000000000000
a = 1fffffffffffffffff
b = 01
r = 200000000000000000
a = 3fffffffffffffffff
b = 01
r = 400000000000000000
a = 7fffffffffffffffff
b = 01
r = 800000000000000000
a = ffffffffffffffffff
b = 01
r = 01000000000000000000
a = 01ffffffffffffffffff
b = 01
r = 02000000000000000000
a = 03ffffffffffffffffff
b = 01
r = 04000000000000000000
a = 07ffffffffffffffffff
b = 01
r = 08000000000000000000
a = 0fffffffffffffffffff
b = 01
r = 10000000000000000000
a = 1fffffffffffffffffff
b = 01
r = 20000000000000000000
a = 3fffffffffffffffffff
b = 01
r = 40000000000000000000
a = 7fffffffffffffffffff
b = 01
r = 80000000000000000000
a = ffffffffffffffffffff
b = 01
r = 0100000000000000000000
a = 01ffffffffffffffffffff
b = 01
r = 0200000000000000000000
a = 03ffffffffffffffffffff
b = 01
r = 0400000000000000000000
a = 07ffffffffffffffffffff
b = 01
r = 0800000000000000000000
a = 0fffffffffffffffffffff
b = 01
r = 1000000000000000000000
a = 1fffffffffffffffffffff
b = 01
r = 2000000000000000000000
a = 3fffffffffffffffffffff
b = 01
r = 4000000000000000000000
a = 7fffffffffffffffffffff
b = 01
r = 8000000000000000000000
a = ffffffffffffffffffffff
b = 01
r = 010000000000000000000000
a = 01ffffffffffffffffffffff
b = 01
r = 020000000000000000000000
a = 03ffffffffffffffffffffff
b = 01
r = 040000000000000000000000
a = 07ffffffffffffffffffffff
b = 01
r = 080000000000000000000000
a = 0fffffffffffffffffffffff
b = 01
r = 100000000000000000000000
a = 1fffffffffffffffffffffff
b = 01
r = 200000000000000000000000
a = 3fffffffffffffffffffffff
b = 01
r = 400000000000000000000000
a = 7fffffffffffffffffffffff
b = 01
r = 800000000000000000000000
a = ffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000
a = 01ffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000
a = 03ffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000
a = 07ffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000
a = 0fffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000
a = 1fffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000
a = 3fffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000
a = 7fffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000
a = ffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000
a = 01ffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000
a = 03ffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000
a = 07ffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000
a = 0fffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000
a = 1fffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000
a = 3fffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000
a = 7fffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000
a = ffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000
a = 01ffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000
a = 03ffffffffffffffffffffffffffff
b = 01
r = 040000000000000000000000000000
a = 07ffffffffffffffffffffffffffff
b = 01
r = 080000000000000000000000000000
a = 0fffffffffffffffffffffffffffff
b = 01
r = 100000000000000000000000000000
a = 1fffffffffffffffffffffffffffff
b = 01
r = 200000000000000000000000000000
a = 3fffffffffffffffffffffffffffff
b = 01
r = 400000000000000000000000000000
a = 7fffffffffffffffffffffffffffff
b = 01
r = 800000000000000000000000000000
a = ffffffffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000000000
a = ffffffffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffff
b = 01
r = 040000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffff
b = 01
r = 080000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffff
b = 01
r = 100000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffff
b = 01
r = 200000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffff
b = 01
r = 400000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffff
b = 01
r = 800000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffff
b = 01
r = 040000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffff
b = 01
r = 080000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffff
b = 01
r = 100000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffff
b = 01
r = 200000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffff
b = 01
r = 400000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffff
b = 01
r = 800000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 040000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 080000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 100000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 200000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 400000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 800000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 040000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 080000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 100000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 200000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 400000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 800000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 040000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 080000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 100000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 200000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 400000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 800000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 040000000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 080000000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 100000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 200000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 400000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 800000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 040000000000000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 080000000000000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 100000000000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 200000000000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 400000000000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 800000000000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 040000000000000000000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 080000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 100000000000000000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 200000000000000000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 400000000000000000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 800000000000000000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 01000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 02000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 04000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 08000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 10000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 20000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 40000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 80000000000000000000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0100000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0200000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0400000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 0800000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 2000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 4000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 8000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 010000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
r = 020000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
b = 01
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