Equal 0s and 1s Signal Route in a Binary Grid

A deep-space relay station buffers each incoming transmission as an m x n grid of signal samples. Every cell stores a single bit: 0 encodes silence and 1 encodes a pulse. A calibration probe launches at the top-left cell and must reach the bottom-right cell, stepping to the adjacent cell on its right or the adjacent cell below it at each move. While traveling, the probe records the sample of every cell it enters, including the start and the destination, so any route covers exactly m + n - 1 recorded samples. Calibration succeeds when the recorded route holds an equal number of silence samples and pulse samples. Given the signal grid, return true if at least one route balances the two kinds of samples, and false otherwise.

Examples
Input: [[0,0,1],[1,1,0]]
Output: true
Hints

Equal 0s and 1s Signal Route in a Binary Grid

A deep-space relay station buffers each incoming transmission as an `m x n` grid of signal samples. Every cell stores a single bit: `0` encodes silence and `1` encodes a pulse. A calibration probe launches at the top-left cell and must reach the bottom-right cell, stepping to the adjacent cell on its right or the adjacent cell below it at each move. While traveling, the probe records the sample of every cell it enters, including the start and the destination, so any route covers exactly `m + n - 1` recorded samples. Calibration succeeds when the recorded route holds an equal number of silence samples and pulse samples. Given the signal grid, return `true` if at least one route balances the two kinds of samples, and `false` otherwise.