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Codeforces gym模拟赛
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2023-06-16
14:48:52
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t1 Canvas Painting
After last year’s success, Samuel W. E. R. Craft’s fame continues to
grow and now he has funds for all kinds of projects that cross his
mind. His newest idea involves creating arrays of canvasses with color
patterns having no repeated colors.
Samuel bought a set of white canvasses of varying sizes. Since painting
them manually would take too much time, he devised a huge machine
to automate the painting process. The painting process works as
follows:
1. Assemble all canvasses in a line in the machine’s conveyor belt, disposed in some
chosen order.
2. Pick a color C and a number F (which should be less than the number of color C
canvasses).
3. Going from left to right, all canvasses with color C are painted. The first F color
C canvasses are painted with a new color X and the remaining color C canvasses
are painted with a new color Y . Colors X and Y are selected by the machine, are
distinct, and are different from any color used previously. The amount of ink
spent in this step is equal to the sum of the sizes of the painted canvasses.
4. Repeat 2) and 3) until all canvasses have distinct colors.
Consider for example that Samuel bought four canvasses of sizes 3, 5, 5 and 7. The
following picture shows 2 different options for painting them.
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