One gallon of 10% bleach will add about 8 ppm of free chlorine to your pool. That's not too high to swim in, under any conditions.
But, it may be higher than you need, depending on your CYA level. (High CYA = loss of chlorine activity, but much lower loss of chlorine to sunlight . . . so you need to maintain higher FC levels, but you still use less chlorine than you would with low CYA).
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