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One says, aim at your enemy and fire like this.
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Then it lands on your foot,
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because assuming the cannon is at zero height,
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the cannonball certainly comes out towards the enemy,
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but has no time of flight.
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Other one says, maximize the time of flight
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and you point a cannon like this.
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It goes up, stays in the air for a very long time,
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but it falls on your head.
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We know the truth is somewhere between 0 and 90.
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Now, the naive guess may be 45,
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but it turns out the naive guess is actually correct.