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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. inline int power(int a, int b) {
  6. int x = 1;
  7. while (b) {
  8. if (b & 1) x *= a;
  9. a *= a;
  10. b >>= 1;
  11. }
  12. return x;
  13. }
  14.  
  15.  
  16. const int M = 1000000007;
  17. const int N = 3e5+9;
  18. const int INF = 2e9+1;
  19. const int LINF = 2000000000000000001;
  20.  
  21. //_ ***************************** START Below *******************************
  22.  
  23.  
  24.  
  25. vector<int> a;
  26. int consistency(int n) {
  27.  
  28. vector<int> prefixMaxiDp(n);
  29. vector<int> sufixMaxiDp(n);
  30.  
  31. int maxi = -INF;
  32. int last = 0;
  33. for(int i=0; i<n; i++){
  34. int curr = max(last + a[i], a[i]);
  35. last = curr;
  36. maxi = max(maxi, curr);
  37. prefixMaxiDp[i] = maxi;
  38. }
  39.  
  40. last = 0;
  41. maxi = -INF;
  42. for(int i=n-1; i>=0; i--){
  43. int curr = max(last + a[i], a[i]);
  44. last = curr;
  45. maxi = max(maxi, curr);
  46. sufixMaxiDp[i] = maxi;
  47. }
  48.  
  49. int ans = -INF;
  50. for(int i=0; i<n-1; i++){
  51. ans = max(ans, prefixMaxiDp[i] + sufixMaxiDp[i+1]);
  52. }
  53.  
  54. return ans;
  55.  
  56.  
  57. }
  58.  
  59.  
  60.  
  61.  
  62.  
  63.  
  64.  
  65.  
  66.  
  67.  
  68.  
  69.  
  70.  
  71. int practice(int n) {
  72.  
  73. vector<int> prefixMax(n);
  74. int last = 0;
  75. int maxSoFar = -INF;
  76.  
  77. for(int i=0; i<n; i++){
  78. int curr = max(last+a[i], a[i]);
  79. last = curr;
  80. maxSoFar = max(maxSoFar, curr);
  81. prefixMax[i] = maxSoFar;
  82. }
  83.  
  84. vector<int> suffixMax(n);
  85. last = 0;
  86. maxSoFar = -INF;
  87. for(int i=n-1; i>=0; i--){
  88. int curr = max(last+a[i], a[i]);
  89. last = curr;
  90. maxSoFar = max(maxSoFar, curr);
  91. suffixMax[i] = maxSoFar;
  92. }
  93.  
  94. int maxi = -INF;
  95. for(int i=0; i<n-1; i++){
  96. maxi = max(maxi, prefixMax[i] + suffixMax[i+1]);
  97. }
  98.  
  99. return maxi;
  100.  
  101. }
  102.  
  103.  
  104.  
  105. void solve() {
  106.  
  107. int n;
  108. cin >> n;
  109. a.resize(n);
  110. for(int i=0; i<n; i++) cin >> a[i];
  111. // cout << consistency(n) << endl ;
  112.  
  113.  
  114. cout << consistency(n) << " -> " << practice(n) << endl;
  115.  
  116. }
  117.  
  118.  
  119.  
  120.  
  121.  
  122. int32_t main() {
  123. ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  124.  
  125. int t = 1;
  126. while (t--) {
  127. solve();
  128. }
  129.  
  130. return 0;
  131. }
Success #stdin #stdout 0.01s 5316KB
stdin
7
1 5 -3 4 -9 9 2
stdout
18 -> 18