Constraints with N around 10~20

table::

N 10 11 12 13 14 15 16 17 18 19 20

2^N 1e+03 2e+03 4e+03 8e+03 2e+04 3e+04 7e+04 1e+05 3e+05 5e+05 1e+06

3^N 6e+04 2e+05 5e+05 2e+06 5e+06 1e+07 4e+07 1e+08 4e+08 1e+09 3e+09

4^N 1e+06 4e+06 2e+07 7e+07 3e+08 1e+09 4e+09 2e+10 7e+10 3e+11 1e+12

N 2^N 1e+04 2e+04 5e+04 1e+05 2e+05 5e+05 1e+06 2e+06 5e+06 1e+07 2e+07

N^2 2^N 1e+05 2e+05 6e+05 1e+06 3e+06 7e+06 2e+07 4e+07 8e+07 2e+08 4e+08

code:python

print("N", *(n for n in range(10, 21)), sep="\t")

print("2^N", *(f"{2**n:.1g}" for n in range(10, 21)), sep="\t")

print("3^N", *(f"{3**n:.1g}" for n in range(10, 21)), sep="\t")

print("4^N", *(f"{4**n:.1g}" for n in range(10, 21)), sep="\t")

print("N 2^N", *(f"{n * 2**n:.1g}" for n in range(10, 21)), sep="\t")

print("N^2 2^N", *(f"{n ** 2 * 2**n:.1g}" for n in range(10, 21)), sep="\t")

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