| Case # | $n, m, t_i, b_i$ | $A, B, C$ |
|:-:|:-:|:-:|
| 1, 2 | $1 \leq n, m, t_i, b_i \leq 2000$ | $A = 10^9; B = 10^9; 0 \leq C \leq 10^2$ |
| 3, 4 | $1 \leq n, m, t_i, b_i \leq 2000$ | $0 \leq A; C \leq 10^2; B = 10^9$ |
| 5, 6, 7, 8 | $1 \leq n, m, t_i, b_i \leq 2000$ | $0 \leq B \leq A \leq 10^2; 0 \leq C \leq 10^2$ |
| 9 - 12 | $1 \leq n, m, t_i, b_i \leq 2000$ | $0 \leq A, B, C \leq 10^2$ |
| 13, 14 | $1 \leq n, m, t_i, b_i \leq 10^5$ | $0 \leq A, B \leq 10^5; C = 10^{16}$ |
| 15 - 20 | $1 \leq n, m, t_i, b_i \leq 10^5$ | $0 \leq A, B, C \leq 10^5$ |