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This is an Advanced Linear: Balanced game.
The four boys must sit in chairs 1, 3, 5, and 7; the three girls must sit in chairs 2, 4, and 6. This occurs because of the Separation PrincipleTM in this game, a result of the second rule. With I sitting in chair 5 due to the third rule, and with the girls sitting in chairs 2, 4, and 6, from the fourth rule we can deduce that S must sit in chair 6. R and T must then sit in chairs 2 and 4, not necessarily in that order.
Because F and R must be adjacent to each other from the last rule, and because R limited to chair 2 or chair 4, we can infer that F cannot sit in chair 7, and must instead sit in chair 1 or 3.
Because F cannot sit in chair 7, and because I is already seated in chair 5, only H or J can sit in chair 7.