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  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) {
  14. int x = 1;
  15. a %= M;
  16. while (b) {
  17. if (b & 1) x = (x * a) % M;
  18. a = (a * a) % M;
  19. b >>= 1;
  20. }
  21. return x;
  22. }
  23.  
  24.  
  25. //_ ***************************** START Below *******************************
  26.  
  27.  
  28.  
  29.  
  30. vector<int> a;
  31.  
  32.  
  33. //* Greedy soln
  34. int consistency1(int n){
  35.  
  36. int maxi = -INF;
  37. int sum = 0;
  38. for(int i=0; i<n; i++){
  39. sum += a[i];
  40. maxi = max(maxi, sum);
  41. if(sum < 0) sum = 0;
  42. }
  43.  
  44. return maxi;
  45. }
  46.  
  47.  
  48. //* DP + Greedy soln
  49. int consistency2(int n){
  50.  
  51. int last = 0;
  52. int maxi = -INF;
  53. for(int i=0; i<n; i++){
  54. int curr = max(last+a[i] , a[i]);
  55. last = curr;
  56. maxi = max(maxi, curr);
  57. }
  58.  
  59.  
  60. return maxi;
  61. }
  62.  
  63.  
  64. //* Bruteforce optimization
  65. int consistency3(int n){
  66. int maxi = -INF;
  67.  
  68. int sum = 0;
  69. int minSum = 0;
  70.  
  71. for(int i=0; i<n; i++){
  72. sum += a[i];
  73. maxi = max(maxi, sum - minSum);
  74.  
  75. minSum = min(minSum, sum);
  76. }
  77.  
  78. return maxi;
  79. }
  80.  
  81.  
  82.  
  83.  
  84.  
  85.  
  86.  
  87. int practice(int n){
  88.  
  89.  
  90. return 0;
  91. }
  92.  
  93.  
  94.  
  95.  
  96.  
  97. void solve() {
  98.  
  99. int n;
  100. cin>> n;
  101.  
  102. a.resize(n);
  103. for(int i=0; i<n; i++) cin >> a[i];
  104.  
  105. cout << consistency1(n) << " " << consistency2(n) << " " << consistency3(n) << endl;
  106.  
  107.  
  108. }
  109.  
  110.  
  111.  
  112.  
  113.  
  114. int32_t main() {
  115. ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  116.  
  117. int t = 1;
  118. // cin >> t;
  119. while (t--) {
  120. solve();
  121. }
  122.  
  123. return 0;
  124. }
Success #stdin #stdout 0s 5320KB
stdin
9
-2 1 -3 4 -1 2 1 -5 4
stdout
6 6 6