From 3ccf589fd11ed27d204d38f46fd1c736e78d5899 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 25 Dec 2017 00:55:59 -0800 Subject: [PATCH] Finished Advent 2017 --- ipynb/Advent 2017.ipynb | 115 +++++++++++++++------------------------- 1 file changed, 43 insertions(+), 72 deletions(-) diff --git a/ipynb/Advent 2017.ipynb b/ipynb/Advent 2017.ipynb index 96d5420..d400560 100644 --- a/ipynb/Advent 2017.ipynb +++ b/ipynb/Advent 2017.ipynb @@ -1017,8 +1017,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 5.07 s, sys: 12.6 ms, total: 5.09 s\n", - "Wall time: 5.08 s\n" + "CPU times: user 5.09 s, sys: 19.4 ms, total: 5.11 s\n", + "Wall time: 5.11 s\n" ] }, { @@ -1754,8 +1754,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 18.7 ms, sys: 1.36 ms, total: 20.1 ms\n", - "Wall time: 23.7 ms\n" + "CPU times: user 13.7 ms, sys: 346 µs, total: 14 ms\n", + "Wall time: 13.7 ms\n" ] }, { @@ -2179,8 +2179,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 516 ms, sys: 2.49 ms, total: 519 ms\n", - "Wall time: 520 ms\n" + "CPU times: user 488 ms, sys: 1.32 ms, total: 490 ms\n", + "Wall time: 489 ms\n" ] }, { @@ -2283,8 +2283,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 533 ms, sys: 2.49 ms, total: 536 ms\n", - "Wall time: 536 ms\n" + "CPU times: user 509 ms, sys: 1.64 ms, total: 511 ms\n", + "Wall time: 510 ms\n" ] }, { @@ -2320,8 +2320,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 15.2 s, sys: 35.9 ms, total: 15.2 s\n", - "Wall time: 15.2 s\n" + "CPU times: user 15.3 s, sys: 66.6 ms, total: 15.4 s\n", + "Wall time: 15.5 s\n" ] }, { @@ -2375,8 +2375,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 9.88 s, sys: 16.8 ms, total: 9.9 s\n", - "Wall time: 9.91 s\n" + "CPU times: user 9.87 s, sys: 26.7 ms, total: 9.9 s\n", + "Wall time: 9.92 s\n" ] }, { @@ -2511,7 +2511,7 @@ }, { "cell_type": "code", - "execution_count": 125, + "execution_count": 70, "metadata": {}, "outputs": [ { @@ -2748,14 +2748,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1.71 s, sys: 19.9 ms, total: 1.73 s\n", - "Wall time: 1.75 s\n" + "CPU times: user 1.42 s, sys: 6.51 ms, total: 1.42 s\n", + "Wall time: 1.42 s\n" ] }, { "data": { "text/plain": [ - "<__main__.Node at 0x114f66fd0>" + "<__main__.Node at 0x11859e0b8>" ] }, "execution_count": 77, @@ -2788,8 +2788,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 5.59 s, sys: 10.7 ms, total: 5.6 s\n", - "Wall time: 5.61 s\n" + "CPU times: user 5.51 s, sys: 6.74 ms, total: 5.52 s\n", + "Wall time: 5.52 s\n" ] }, { @@ -3630,8 +3630,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 5.32 s, sys: 89.5 ms, total: 5.41 s\n", - "Wall time: 5.41 s\n" + "CPU times: user 5.35 s, sys: 108 ms, total: 5.45 s\n", + "Wall time: 5.47 s\n" ] }, { @@ -3881,8 +3881,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 21.3 s, sys: 46.2 ms, total: 21.4 s\n", - "Wall time: 21.4 s\n" + "CPU times: user 21.2 s, sys: 62 ms, total: 21.2 s\n", + "Wall time: 21.3 s\n" ] }, { @@ -3965,8 +3965,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 984 ms, sys: 8.51 ms, total: 993 ms\n", - "Wall time: 997 ms\n" + "CPU times: user 944 ms, sys: 3.78 ms, total: 948 ms\n", + "Wall time: 947 ms\n" ] }, { @@ -4086,8 +4086,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 2.39 s, sys: 10.5 ms, total: 2.4 s\n", - "Wall time: 2.4 s\n" + "CPU times: user 2.33 s, sys: 6.18 ms, total: 2.34 s\n", + "Wall time: 2.34 s\n" ] }, { @@ -4125,8 +4125,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 2.52 s, sys: 18.5 ms, total: 2.53 s\n", - "Wall time: 2.55 s\n" + "CPU times: user 2.4 s, sys: 3.9 ms, total: 2.4 s\n", + "Wall time: 2.4 s\n" ] }, { @@ -4168,8 +4168,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 664 ms, sys: 3.29 ms, total: 667 ms\n", - "Wall time: 670 ms\n" + "CPU times: user 612 ms, sys: 1.7 ms, total: 613 ms\n", + "Wall time: 614 ms\n" ] }, { @@ -4253,7 +4253,7 @@ }, { "cell_type": "code", - "execution_count": 122, + "execution_count": 127, "metadata": {}, "outputs": [ { @@ -4262,7 +4262,7 @@ "4769" ] }, - "execution_count": 122, + "execution_count": 127, "metadata": {}, "output_type": "execute_result" } @@ -4280,35 +4280,6 @@ "sum(turing(machine(), 'A', 12667664).values())" ] }, - { - "cell_type": "code", - "execution_count": 128, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "4770" - ] - }, - "execution_count": 128, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def turing(machine, state):\n", - " \"Run the Turing machine, starting at state; yield tape each step.\"\n", - " tape = defaultdict(int)\n", - " cursor = 0\n", - " while True:\n", - " tape[cursor], move, state = machine[state][tape[cursor]]\n", - " cursor += move\n", - " yield tape\n", - "\n", - "quantify(nth(turing(machine(), 'A'), 12667664).values())" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -4348,20 +4319,20 @@ }, { "cell_type": "code", - "execution_count": 123, + "execution_count": 129, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Day 5: 5.4 sec\n", - "Day 15: 25.8 sec\n", - "Day 17: 5.7 sec\n", - "Day 21: 5.6 sec\n", - "Day 22: 22.0 sec\n", - "CPU times: user 1min 20s, sys: 499 ms, total: 1min 21s\n", - "Wall time: 1min 21s\n" + "Day 5: 5.1 sec\n", + "Day 15: 26.1 sec\n", + "Day 17: 6.1 sec\n", + "Day 21: 6.0 sec\n", + "Day 22: 24.1 sec\n", + "CPU times: user 1min 21s, sys: 3.5 s, total: 1min 25s\n", + "Wall time: 1min 26s\n" ] } ], @@ -4426,7 +4397,7 @@ " run23_2() == 913,\n", " 24: lambda: strongest_chain() == 1695 and\n", " strength(max(chains(), key=length_and_strength)) == 1673,\n", - " 25: lambda: quantify(nth(turing(machine(), 'A'), 12667664).values()) == 4769\n", + " 25: lambda: sum(turing(machine(), 'A', 12667664).values()) == 4769\n", "})" ] }, @@ -4441,14 +4412,14 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 125, "metadata": {}, "outputs": [ { "data": { "image/png": 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pSMlKAQBcSbyCX6//ymv+Tes0RVeXriqvnTsHXLkCRCZEYtbpWSrvMQYaRwDr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\nEBFReno6ffjhh43ukaIFFDxokPoXorSUaMMG5U0NrvnbtynYzU1Zxgh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