Show me the ladder logic for a system that has three input coils and sets an output on if any two of those inputs are on, but leaves the output off if there are 0, 1 or 3 inputs on. Describe the logic in JSON format, using the name 'rung' for rungs.
{
"rung": [
{
"input": [
{"name": "Input 1", "type": "coil", "state": "on"},
{"name": "Input 2", "type": "coil", "state": "on"}
],
"output": {"name": "Output", "type": "coil", "state": "on"}
},
{
"input": [
{"name": "Input 1", "type": "coil", "state": "on"},
{"name": "Input 3", "type": "coil", "state": "on"}
],
"output": {"name": "Output", "type": "coil", "state": "on"}
},
{
"input": [
{"name": "Input 2", "type": "coil", "state": "on"},
{"name": "Input 3", "type": "coil", "state": "on"}
],
"output": {"name": "Output", "type": "coil", "state": "on"}
}
]
}