fork download
  1. #include <bits/stdc++.h>
  2. using namespace std;
  3. #define int long long int
  4. #define double long double
  5. #define print(a) for(auto x : a) cout << x << " "; cout << endl
  6.  
  7.  
  8. const int M = 1000000007;
  9. const int N = 3e5+9;
  10. const int INF = 2e9+1;
  11. const int LINF = 2000000000000000001;
  12.  
  13. inline int power(int a, int b, int mod=M) {
  14. int x = 1;
  15. a %= mod;
  16. while (b) {
  17. if (b & 1) x = (x * a) % mod;
  18. a = (a * a) % mod;
  19. b >>= 1;
  20. }
  21. return x;
  22. }
  23.  
  24.  
  25. //_ ***************************** START Below *******************************
  26.  
  27. // 3
  28. // 5
  29. // 0 0 0 0 0
  30. // 12
  31. // 2 -3 6 0 4 -5 6 0 2 3 4 1
  32. // 11
  33. // 8 -3 1 -6 4 -4 7 -7 2 -2 0
  34.  
  35.  
  36.  
  37.  
  38.  
  39. vector<int> a;
  40.  
  41.  
  42. int consistency1(int n){
  43.  
  44. int total = 0;
  45. for(int i=0; i<n; i++) total += a[i];
  46.  
  47. if(total % 4 != 0) return false;
  48. int x = total/4;
  49.  
  50. unordered_map<int,int> prefixSum, suffixSum;
  51.  
  52. int sum = 0;
  53. for(int i=n-1; i>=0; i--){
  54. sum += a[i];
  55. suffixSum[sum]++;
  56. }
  57.  
  58.  
  59. int ans = 0;
  60. int leftSum = 0;
  61. int rightSum = total;
  62.  
  63.  
  64. for(int i=0; i<=n-2; i++){
  65. suffixSum[rightSum]--;
  66. if(suffixSum[rightSum] == 0) suffixSum.erase(rightSum);
  67.  
  68. leftSum += a[i];
  69. rightSum -= a[i];
  70.  
  71.  
  72. suffixSum[rightSum]--;
  73.  
  74.  
  75. if(leftSum == 2*x){
  76. ans += prefixSum[leftSum/2] * suffixSum[rightSum/2];
  77. }
  78.  
  79. suffixSum[rightSum]++;
  80. prefixSum[leftSum]++;
  81. }
  82.  
  83. return ans;
  84.  
  85. }
  86.  
  87.  
  88.  
  89.  
  90.  
  91. int consistency2(int n){
  92.  
  93. int total = 0;
  94. for(int i=0; i<n; i++) total += a[i];
  95.  
  96. if(total % 4 != 0) return 0;
  97.  
  98. int x = total/4;
  99.  
  100. vector<int> suffixWays(n, 0);
  101. int ct_x = 0;
  102. int sum = 0;
  103.  
  104. for(int i=n-1; i>=0; i--){
  105. sum += a[i];
  106.  
  107. if(sum == 2*x){
  108. suffixWays[i] += ct_x;
  109. }
  110. if(sum == x){
  111. ct_x++;
  112. }
  113. }
  114.  
  115.  
  116. sum = 0;
  117. ct_x = 0;
  118. int ans = 0;
  119.  
  120. for(int i=0; i<=n-3; i++){
  121. sum += a[i];
  122. if(sum == 2*x) ans += ct_x * suffixWays[i+1];
  123.  
  124. if(sum == x) ct_x++;
  125. }
  126.  
  127.  
  128. return ans;
  129. }
  130.  
  131.  
  132.  
  133.  
  134.  
  135.  
  136.  
  137.  
  138.  
  139.  
  140.  
  141.  
  142.  
  143.  
  144.  
  145.  
  146.  
  147.  
  148.  
  149.  
  150.  
  151.  
  152.  
  153. int practice(int n){
  154.  
  155.  
  156. }
  157.  
  158.  
  159.  
  160.  
  161.  
  162. void solve() {
  163.  
  164. int n;
  165. cin>> n;
  166.  
  167. a.resize(n);
  168. for(int i=0; i<n; i++) cin >> a[i];
  169.  
  170. cout << consistency1(n) << " " << consistency2(n) << endl;
  171.  
  172. // cout << practice(n) << endl;
  173.  
  174.  
  175. }
  176.  
  177.  
  178.  
  179.  
  180.  
  181. int32_t main() {
  182. ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  183.  
  184. int t = 1;
  185. cin >> t;
  186. while (t--) {
  187. solve();
  188. }
  189.  
  190. return 0;
  191. }
Success #stdin #stdout 0.01s 5320KB
stdin
3
5
0 0 0 0 0 
12
2 -3 6 0 4 -5 6 0 2 3 4 1
11
8 -3 1 -6 4 -4 7 -7 2 -2 0
stdout
4 4
4 4
4 4