Page Contents
Adding on Segments SOLUTION ADDONSEG
There are N integers A1,A2,…,AN on a circle. For each valid i, Ai and Ai+1 are adjacent; A1 and AN are also adjacent.
Chef has a sequence of integers B1,B2,…,BN, which he may use to perform any number of operations (including zero). In one operation, he should do the following:
Choose an integer i (1≤i≤N).
Choose i consecutive integers on the circle.
Choose a sign S=±1 and add S⋅Bi to each of the chosen integers. In other words, either add Bi to each of them or subtract Bi from each of them.
The goal is to make all the integers on the circle equal to 0. Can Chef achieve it using these operations?
Input
The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains a single integer N.
The second line contains N space-separated integers A1,A2,…,AN.
The third line contains N space-separated integers B1,B2,…,BN.
Output
For each test case, print a single line containing the string “YES” if it is possible to make all integers on the circle equal to 0 or “NO” if it is impossible.
Constraints
1≤N≤103
0≤Ai,Bi≤104 for each valid i
the sum of N over all test cases does not exceed 104
Subtasks
Subtask #1 (40 points): A1=A2=…=AN
Subtask #2 (60 points): original constraints
Example Input
3
5
1 1 3 3 2
0 0 2 1 0
4
1 1 1 1
2 2 2 2
3
2 0 1
0 3 5
Example Output
YES
NO
NO
Explanation
Example case 1: We can make everything 0 using two operations: choose i=4 and change the circular sequence (1,1,3,3,2) to (1−1,1−1,3−1,3−1,2)=(0,0,2,2,2), then choose i=3 and change it to (0,0,2−2,2−2,2−2)=(0,0,0,0,0).
Example case 2: The parities of integers on the circle cannot change, so they cannot become 0.
Related :
March Long Challenge 2021 Solutions
- An Interesting Sequence ISS SOLUTION
- Tree House THOUSES SOLUTION
- Valid Paths VPATH SOLUTION
- Modular Equation MODEQ SOLUTION
- Tic Tac Toe TCTCTOE SOLUTION
- Xor Equality XOREQUAL SOLUTION
- Golf LKDNGOLF SOLUTION
- Solubility SOLBLTY SOLUTION
April Long Challenge 2021 Solutions
- Chef and Dice SDICE Solution
- Worthy Matrix KAVGMAT Solution
- Binary String MEX MEXSTR Solution
- Boolean Game BOOLGAME Solution
- Tree Permutations TREEPERM Solution
- Destroy the EMP Chip CHAOSEMP Solution
- Chef and Pair Flips PAIRFLIP Solution
- String Power STRPOW Solution
- Brahma and Shiva SHRINES Solution
- Water Sort Puzzle (Challenge) WTRSORT Solution
- World Record BOLT Solution
- Strong Language SSCRIPT Solution
- Valid Pair SOCKS1 Solution
Codechef Long Challenge Solutions
February Long Challenge 2021
1. Frog Sort Solution Codechef
2. Chef and Meetings Solution Codechef
3. Maximise Function Solution Codechef
4. Highest Divisor Solution Codechef
5. Cut the Cake Challenge Solution Codechef
6. Dream and the Multiverse Solution Codechef
7. Cell Shell Solution Codechef
8. Multiple Games Solution Codechef
9. Another Tree with Number Theory Solution Codechef
10. XOR Sums Solution Codechef
11. Prime Game Solution CodeChef
12. Team Name Solution Codechef
January Long Challenge 2021
- Chef and Division 3 DIVTHREE SOLUTION Code Chef
- Encoded String DECODEIT SOLUTION Code Chef
- Point Of Impact BILLRD SOLUTION Code Chef
- Fair Elections FAIRELCT SOLUTION Code Chef
- Watching CPL WIPL SOLUTION Code Chef
- Chef and Ants ANTSCHEF SOLUTION Code Chef
- Blackjack BLKJK SOLUTION Code Chef
- And-Or Game ORAND SOLUTION Code Chef
- Stack-Queue Sort (Challenge) SQSORT SOLUTION Code Chef
- Expected Number of SCCs RCTEXSCC SOLUTION Code Chef
- Curious Matrix CURMAT SOLUTION Code Chef
- Cool Subsets COOLSBST SOLUTION Code Chef
- Sequence Creation ARCRT SOLUTION Code Chef
- Greedy Students GRDSTD SOLUTION Code Chef
November Challenge 2020 SOLUTION CodeChef
- Ada and Dishes SOLUTION ADADISH
- Iron Magnet and Wall SOLUTION FEMA2
- Magical Candy Store SOLUTION CNDYGAME
- Unusual Queries SOLUTION UNSQUERS
- Red-Black Boolean Expression SOLUTION RB2CNF
- Chef and the Combination Lock SOLUTION CHEFSSM
- Scalar Product Tree SOLUTION SCALSUM
- Connect on a Grid (Challenge) SOLUTION CONGRID
October Lunchtime 2020 CodeChef SOLUTIONS
- AND Plus OR SOLUTION ANDOR
- Chef and Subtree MEXs SOLUTION SUBMEXS
- Chef Likes Good Sequences SOLUTION GSUB
- Cute Chef Gift SOLUTION COPAR
- Chef Is Just Throwing Random Words SOLUTION SSO
- Counting Spaghetti SOLUTION CDSUMS
- Chef and Edge Flipping SOLUTION EFLIP
RELATED :
- Top Best Keylogger in Python 3 Make One
- What is Hacking?
- Secrets of the Deep Dark Web
- CODECHEF September Lunchtime 2020 SOLUTIONS
- August Lunchtime 2020 SOLUTIONS
Related :
- A. Shandom Ruffle SOLUTION
- B. Pear TreaP SOLUTION
- C. Sneetches and Speeches 3 SOLUTION
- D. The Grim Treaper SOLUTION
- Y. Sneetches and Speeches 1 SOLUTION
- Z. Trick or Treap SOLUTION
- A. Floor Number SOLUTION CODE FORCES
- B. Symmetric Matrix SOLUTION CODE FORCES
- C. Increase and Copy SOLUTION CODE FORCES
- D. Non-zero Segments SOLUTION CODE FORCES
- E. Rock, Paper, Scissors SOLUTION CODE FORCES
- F. Number of Subsequences SOLUTION CODE FORCES
Related :
- Chef and Easy Queries SOLUTIONS CHEFEZQ
- Covid Run SOLUTIONS CVDRUN OCTOBER CHALLENGE
- Positive AND SOLUTIONS POSAND
- Replace for X SOLUTIONS REPLESX
- Village Road Network SOLUTIONS VILLNET
- Random Knapsack SOLUTIONS RANDKNAP
- D-Dimensional MST SOLUTIONS DDIMMST
- Compress all Subsegments SOLUTIONS SEGCOMPR
- Adding Squares SOLUTIONS ADDSQURE
- Inversions SOLUTIONS INVSMOD2 OCOTBER CHALLENGE
- Rooted Minimum Spanning Tree SOLUTIONS ROOTMST