Largest Rectangle in Histogram

http://www.lintcode.com/en/problem/largest-rectangle-in-histogram/

Transcript

1. 2 1 5 6 2 3 0 positions heights 0 2 maxVal = 0 i == 0
2. 2 1 5 6 2 3 0 positions heights 0 2 maxVal = 0 i == 1
3. 2 1 5 6 2 3 0 positions heights i == 1 maxVal = max(0, (i - 0) * 2) = 2 2
4. 2 1 5 6 2 3 0 positions heights 0 1 i == 1 maxVal = max(0, (i - 0) * 2) = 2
5. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = 2 i == 2 2 5
6. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = 2 i == 3 2 5 3 6
7. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = 2 i == 4 2 5 3 6
8. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = max(2, (i - 3) * 6) = 6 i == 4 2 5 6
9. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = max(6, (i - 2) * 5) = 10 i == 4 10
10. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = 10 i == 4 2 2
11. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = 10 i == 5 2 2 5 3
12. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = 10 i == 6 2 2 5 3
13. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = max(10, (i - 5) * 3) = 10 i == 6 2 2 3
14. 2 1 5 6 2 3 0 positions heights 0 1 maxVal = max(10, (i - 2) * 2) = 10 i == 6 8
15. 2 1 5 6 2 3 0 positions heights maxVal = max(10, (i - 0) * 1) = 10 i == 6 6
16. “maxVal is 10.” 2 1 5 6 2 3 0 10