2 2 2 1 2 1 2 0 1
1 * Bulb $1$ is lighted when there is an even number of switches that are "on" among the following: Switch $1$ and $2$. * Bulb $2$ is lighted when there is an odd number of switches that are "on" among the following: Switch $2$. There are four possible combinations of states of (Switch $1$, Switch $2$): (on, on), (on, off), (off, on) and (off, off). Among them, only (on, on) lights all the bulbs, so we should print $1$.
2 3 2 1 2 1 1 1 2 0 0 1
0 * Bulb $1$ is lighted when there is an even number of switches that are "on" among the following: Switch $1$ and $2$. * Bulb $2$ is lighted when there is an even number of switches that are "on" among the following: Switch $1$. * Bulb $3$ is lighted when there is an odd number of switches that are "on" among the following: Switch $2$. Switch $1$ has to be "off" to light Bulb $2$ and Switch $2$ has to be "on" to light Bulb $3$, but then Bulb $1$ will not be lighted. Thus, there are no combinations of states of the switches that light all the bulbs, so we should print $0$.
5 2 3 1 2 5 2 2 3 1 0
8
{
"problem": {
"name": "Switches",
"description": {
"content": "We have $N$ switches with \"on\" and \"off\" state, and $M$ bulbs. The switches are numbered $1$ to $N$, and the bulbs are numbered $1$ to $M$. Bulb $i$ is connected to $k_i$ switches: Switch $s_{i1}$, $s",
"description_type": "Markdown"
},
"platform": "AtCoder",
"limit": {
"time_limit": 2000,
"memory_limit": 262144
},
"difficulty": "None",
"is_remote": true,
"is_sync": true,
"sync_url": null,
"sign": "abc128_c"
},
"statements": [
{
"statement_type": "Markdown",
"content": "We have $N$ switches with \"on\" and \"off\" state, and $M$ bulbs. The switches are numbered $1$ to $N$, and the bulbs are numbered $1$ to $M$.\nBulb $i$ is connected to $k_i$ switches: Switch $s_{i1}$, $s...",
"is_translate": false,
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}