feat(DP): new dp problems formated

maximum-subarray-sum/src/TLE.cpp

@@ -0,0 +1,27 @@
+#include <bits/stdc++.h>
+
+typedef long long ll;
+
+using namespace std;
+
+int N;
+
+ll maxSum(vector<ll> &nums) {
+   ll maxS = INT_MIN;
+   for (int i = 0; i < N; i++) {
+        ll sum = 0;
+        for (int j = i; j < N; j++) {
+            sum += nums[j];
+        }
+        maxS = max(maxS, sum);
+   }
+   return maxS;
+}
+
+int main(){
+   cin >> N;
+   vector<ll> nums(N + 1);
+   for (int i = 1; i <= N; i++) cin >> nums[i];
+   cout << maxSum(nums) << endl;
+   return 0;
+}

maximum-subarray-sum/src/ac.cpp

@@ -0,0 +1,32 @@
+#include <bits/stdc++.h>
+
+typedef long long ll;
+
+using namespace std;
+
+int N;
+
+// dp[i] represents the maximum possible sum
+// ending at index (i)
+// At each transition we can either continue the 
+// the previous sum (i - 1) or begin a new sum
+// we choose the best option among these
+
+ll maxSum(vector<ll> &nums) {
+   vector<ll> dp(N + 1, 0);
+   ll maxS = INT_MIN;
+   for (int i = 1; i <= N; i++) {
+      dp[i] = max(dp[i - 1] + nums[i], nums[i]);
+      maxS = max(maxS, dp[i]);
+   }
+
+   return maxS;
+}
+
+int main(){
+   cin >> N;
+   vector<ll> nums(N + 1);
+   for (int i = 1; i <= N; i++) cin >> nums[i];
+   cout << maxSum(nums) << endl;
+   return 0;
+}

maximum-subarray-sum/src/checker.cpp

@@ -0,0 +1,18 @@
+#include "testlib.h"
+#include <bits/stdc++.h>
+
+using namespace std;
+
+int main(int argc, char* argv[]) {
+    setName("compare two numbers");
+    registerTestlibCmd(argc, argv);
+    long long ja = ans.readLong();
+    long long pa = ouf.readLong();
+
+    if (ja != pa)
+        quitf(_wa, "expected %lld, found %lld", ja, pa);
+
+    quitf(_ok, "answer is %lld", ja);
+
+    return 0;
+}

maximum-subarray-sum/src/generator.cpp

@@ -0,0 +1,106 @@
+#include "testlib.h"
+#include <bits/stdc++.h>
+
+using namespace std;
+
+const int MIN_N  =  1;
+const int MAX_N  =  1e5;
+const int MIN_NI = -1e4;
+const int MAX_NI =  1e4;
+
+const int rnd_test_n = 100;
+
+template <typename T> void append(vector<T> &dest, const vector<T> &orig) {
+	dest.insert(dest.end(), orig.begin(), orig.end());
+}
+
+string output_tc(const vector<int> &nums) {
+	ostringstream oss;
+    oss << nums.size() << endl;
+    for (int i = 0; i < nums.size(); i++) {
+        if (i != 0) oss << " ";
+        oss << nums[i];
+    }
+    oss << endl;
+    return oss.str();
+}
+
+vector<string> generate_sample_tests() {
+	vector<string> tests;
+    tests.push_back(output_tc({1, 2, 3, 4, 5}));
+    tests.push_back(output_tc({2, 3, -1, 4}));
+    tests.push_back(output_tc({0}));
+	return tests;
+}
+
+vector<string> generate_manual_tests() {
+	vector<string> tests;
+	tests.push_back(output_tc({MIN_NI, MIN_NI, MIN_NI, MIN_NI}));
+	tests.push_back(output_tc({0, 0, 0, 0, -1, -1, -1, -1, -1}));
+	return tests;
+}
+
+string rnd_test(int i){
+    int min_n = MIN_N;
+    int max_n = MAX_N;
+    
+    if(i<rnd_test_n / 3){
+        max_n = MAX_N/3;
+    }
+    else if(i<rnd_test_n / 2){
+        max_n = MAX_N/2;
+    }
+
+    int n = rnd.next(min_n, max_n);
+    vector<int> nums(n);
+    for (int i = 0; i < n; i++) {
+        nums[i] = rnd.next(MIN_NI, MAX_NI);
+    }
+    return(output_tc(nums));
+}
+
+vector<string> generate_random_tests() { 
+    vector<string> tests;
+    for (int i = 0; i < rnd_test_n; i++){
+        tests.push_back(rnd_test(i));
+    } 
+    return tests;
+}
+
+string extreme_test_1(){
+    vector<int> nums(MAX_N);
+    for (int i = 0; i < MAX_N; i++) {
+        nums[i] = MIN_NI;
+    }
+    return(output_tc(nums));
+}
+
+string extreme_test_2(){
+    vector<int> nums(MAX_N);
+    for (int i = 0; i < MAX_N; i++) {
+        nums[i] = MAX_NI;
+    }
+    return(output_tc(nums));
+}
+
+vector<string> generate_extreme_tests(){
+    vector<string> tests;   
+    tests.push_back(extreme_test_1());
+    tests.push_back(extreme_test_2());
+    return tests;
+}
+
+int main(int argc, char *argv[]) {
+	registerGen(argc, argv, 1);
+	vector<string> tests;
+	size_t test = 0;
+	append(tests, generate_sample_tests());
+	append(tests, generate_manual_tests());
+	append(tests, generate_random_tests());
+	append(tests, generate_extreme_tests());
+	for (const auto &t : tests) {
+		startTest(++test);
+		cout << t;
+	}
+	return 0;
+}

maximum-subarray-sum/src/script.sh

@@ -0,0 +1 @@
+generator

maximum-subarray-sum/src/validator.cpp

@@ -0,0 +1,20 @@
+#include "testlib.h"
+#include <bits/stdc++.h>
+
+using namespace std;
+
+const int MAX_NI = 1e4;
+const int MIN_NI = -1e4;
+
+int main(int argc, char* argv[]) {
+    registerValidation(argc, argv);
+    int n = inf.readInt(1, 100000, "n");
+    inf.readEoln();
+    for (int i = 0; i < n; i++) {
+        if (i != 0) inf.readSpace();
+        inf.readInt(MIN_NI, MAX_NI, "ni");
+    }
+    inf.readEoln();
+    inf.readEof();
+    return 0;
+}