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Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 0 , lazy = 0                            value = 0 , lazy = 0




 value = 0 , lazy = 0    value = 0 , lazy = 0    value = 0 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5            6           7           8
Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 0 , lazy = 0                            value = 0 , lazy = 0




 value = 0 , lazy = 0    value = 0 , lazy = 0    value = 0 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5            6           7           8
Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 0 , lazy = 1                            value = 0 , lazy = 0




 value = 0 , lazy = 0    value = 0 , lazy = 0    value = 0 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5            6           7           8
Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 8 , lazy = 0                            value = 0 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2    value = 0 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3           4           5            6           7           8
Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 8 , lazy = 0                            value = 0 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2    value = 0 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5            6           7           8
Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 8 , lazy = 0                            value = 0 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2    value = 0 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5            6           7           8
Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 8 , lazy = 0                            value = 0 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2    value = 0 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 2    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5            6           7           8
Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 8 , lazy = 0                            value = 0 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2    value = 0 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 2   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5            6           7           8
Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 8 , lazy = 0                            value = 0 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2    value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 1   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5           6            7           8
Step1. [1,5]に2を足す.

                                     value = 0 , lazy = 0




             value = 8 , lazy = 0                            value = 2 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2    value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 2   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5            6          7            8
Step1. [1,5]に2を足す.

                                    value = 10 , lazy = 0




             value = 8 , lazy = 0                            value = 2 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2    value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 2   value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4         5             6           7           8
Step2. [4,4]の値を求める

                                     value = 10 , lazy = 0




             value = 8 , lazy = 0                             value = 2 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2     value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 2    value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0     lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5             6           7           8
Step2. [4,4]の値を求める

                                     value = 10 , lazy = 0




             value = 8 , lazy = 0                             value = 2 , lazy = 0




 value = 0 , lazy = 2    value = 0 , lazy = 2     value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 2    value = 0   value = 0   value = 0
 lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0     lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5             6           7           8
Step2. [4,4]の値を求める

                                     value = 10 , lazy = 0




             value = 8 , lazy = 0                             value = 2 , lazy = 0




 value = 4 , lazy = 0    value = 0 , lazy = 2     value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 2    value = 0   value = 0   value = 0
 lazy = 2    lazy = 2    lazy = 0    lazy = 0    lazy = 0     lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5             6           7           8
Step2. [4,4]の値を求める

                                     value = 10 , lazy = 0




             value = 8 , lazy = 0                             value = 2 , lazy = 0




 value = 4 , lazy = 0    value = 2 , lazy = 0     value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 0   value = 2    value = 0   value = 0   value = 0
 lazy = 2    lazy = 2    lazy = 2    lazy = 2    lazy = 0     lazy = 0    lazy = 0    lazy = 0

   1            2           3           4           5             6           7           8
Step2. [4,4]の値を求める

                                     value = 10 , lazy = 0




             value = 8 , lazy = 0                             value = 2 , lazy = 0




 value = 4 , lazy = 0    value = 2 , lazy = 0     value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 2   value = 2   value = 2    value = 0   value = 0   value = 0
 lazy = 2    lazy = 2    lazy = 0    lazy = 0    lazy = 0     lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5             6           7           8
Step2. [4,4]の値を求める

                                     value = 10 , lazy = 0




             value = 8 , lazy = 0                             value = 2 , lazy = 0




 value = 4 , lazy = 0    value = 2 , lazy = 0     value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 2   value = 2   value = 2    value = 0   value = 0   value = 0
 lazy = 2    lazy = 2    lazy = 0    lazy = 0    lazy = 0     lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5             6           7           8
Step2. [4,4]の値を求める

                                     value = 10 , lazy = 0




             value = 8 , lazy = 0                             value = 2 , lazy = 0




 value = 4 , lazy = 0    value = 4 , lazy = 0     value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 2   value = 2   value = 2    value = 0   value = 0   value = 0
 lazy = 2    lazy = 2    lazy = 0    lazy = 0    lazy = 0     lazy = 0    lazy = 0    lazy = 0

   1            2           3           4           5             6           7           8
Step2. [4,4]の値を求める

                                     value = 10 , lazy = 0




             value = 8 , lazy = 0                             value = 2 , lazy = 0




 value = 4 , lazy = 0    value = 4 , lazy = 0     value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 2   value = 2   value = 2    value = 0   value = 0   value = 0
 lazy = 2    lazy = 2    lazy = 0    lazy = 0    lazy = 0     lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5             6           7           8
Step2. [4,4]の値を求める

                                    value = 10 , lazy = 0




             value = 8 , lazy = 0                            value = 2 , lazy = 0




 value = 4 , lazy = 0    value = 4 , lazy = 0    value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 2   value = 2   value = 2   value = 0   value = 0   value = 0
 lazy = 2    lazy = 2    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0    lazy = 0

   1            2           3            4         5             6           7           8
Step2. [4,4]の値を求める

                                     value = 10 , lazy = 0




             value = 8 , lazy = 0                             value = 2 , lazy = 0




 value = 4 , lazy = 0    value = 4 , lazy = 0     value = 2 , lazy = 0    value = 0 , lazy = 0




value = 0   value = 0   value = 0   value = 2   value = 2    value = 0   value = 0   value = 0
 lazy = 2    lazy = 2    lazy = 2    lazy = 0    lazy = 0     lazy = 0    lazy = 0    lazy = 0

   1            2           3            4          5             6           7           8

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セグツリーイメージ

  • 1. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 2. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 3. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 0 , lazy = 1 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 4. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 8 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 5. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 8 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 6. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 8 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 7. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 8 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 2 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 8. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 8 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 0 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 2 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 9. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 8 , lazy = 0 value = 0 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 1 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 10. Step1. [1,5]に2を足す. value = 0 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 2 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 11. Step1. [1,5]に2を足す. value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 2 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 12. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 2 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 13. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 2 value = 0 , lazy = 2 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 2 value = 0 value = 0 value = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 14. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 4 , lazy = 0 value = 0 , lazy = 2 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 2 value = 0 value = 0 value = 0 lazy = 2 lazy = 2 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 15. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 4 , lazy = 0 value = 2 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 0 value = 2 value = 0 value = 0 value = 0 lazy = 2 lazy = 2 lazy = 2 lazy = 2 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 16. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 4 , lazy = 0 value = 2 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 2 value = 2 value = 2 value = 0 value = 0 value = 0 lazy = 2 lazy = 2 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 17. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 4 , lazy = 0 value = 2 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 2 value = 2 value = 2 value = 0 value = 0 value = 0 lazy = 2 lazy = 2 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 18. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 4 , lazy = 0 value = 4 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 2 value = 2 value = 2 value = 0 value = 0 value = 0 lazy = 2 lazy = 2 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 19. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 4 , lazy = 0 value = 4 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 2 value = 2 value = 2 value = 0 value = 0 value = 0 lazy = 2 lazy = 2 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 20. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 4 , lazy = 0 value = 4 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 2 value = 2 value = 2 value = 0 value = 0 value = 0 lazy = 2 lazy = 2 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8
  • 21. Step2. [4,4]の値を求める value = 10 , lazy = 0 value = 8 , lazy = 0 value = 2 , lazy = 0 value = 4 , lazy = 0 value = 4 , lazy = 0 value = 2 , lazy = 0 value = 0 , lazy = 0 value = 0 value = 0 value = 0 value = 2 value = 2 value = 0 value = 0 value = 0 lazy = 2 lazy = 2 lazy = 2 lazy = 0 lazy = 0 lazy = 0 lazy = 0 lazy = 0 1 2 3 4 5 6 7 8