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authorcrupest <crupest@outlook.com>2021-02-24 15:32:25 +0800
committercrupest <crupest@outlook.com>2021-02-24 15:32:25 +0800
commita14a096c787a71f6e60a108f9640b6127b997404 (patch)
tree8b1d3ac568d85e20e2c06cca9cdb8bc95433464a /works
parent765a27fc5678f3ea5ee89a7ea826dceec6aeced1 (diff)
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import(solutions): Add acwing problem 4 (aka multiple pack problem).
Diffstat (limited to 'works')
-rw-r--r--works/solutions/acwing/2-2.cpp8
-rw-r--r--works/solutions/acwing/3-2.cpp8
-rw-r--r--works/solutions/acwing/4.cpp51
3 files changed, 55 insertions, 12 deletions
diff --git a/works/solutions/acwing/2-2.cpp b/works/solutions/acwing/2-2.cpp
index de812f4..fb0fb3b 100644
--- a/works/solutions/acwing/2-2.cpp
+++ b/works/solutions/acwing/2-2.cpp
@@ -14,12 +14,8 @@ int main() {
}
for (int i = 1; i <= N; i++) {
- for (int j = V; j >= 0; j--) {
- if (j >= v[i]) {
- states[j] = std::max(states[j], states[j - v[i]] + w[i]);
- } else {
- states[j] = states[j];
- }
+ for (int j = V; j >= v[i]; j--) {
+ states[j] = std::max(states[j], states[j - v[i]] + w[i]);
}
}
diff --git a/works/solutions/acwing/3-2.cpp b/works/solutions/acwing/3-2.cpp
index 6565c5b..c099838 100644
--- a/works/solutions/acwing/3-2.cpp
+++ b/works/solutions/acwing/3-2.cpp
@@ -14,12 +14,8 @@ int main() {
}
for (int i = 1; i <= N; i++) {
- for (int j = 0; j <= V; j++) {
- if (j >= v[i]) {
- states[j] = std::max(states[j], states[j - v[i]] + w[i]);
- } else {
- states[j] = states[j];
- }
+ for (int j = v[i]; j <= V; j++) {
+ states[j] = std::max(states[j], states[j - v[i]] + w[i]);
}
}
diff --git a/works/solutions/acwing/4.cpp b/works/solutions/acwing/4.cpp
new file mode 100644
index 0000000..3270402
--- /dev/null
+++ b/works/solutions/acwing/4.cpp
@@ -0,0 +1,51 @@
+#include <algorithm>
+#include <iostream>
+
+int N, V;
+int v[101];
+int w[101];
+int s[101];
+int states[101];
+
+void CompletePack(int v, int w) {
+ for (int j = v; j <= V; j++) {
+ states[j] = std::max(states[j], states[j - v] + w);
+ }
+}
+
+void ZeroOnePack(int v, int w) {
+ for (int j = V; j >= v; j--) {
+ states[j] = std::max(states[j], states[j - v] + w);
+ }
+}
+
+int main() {
+ std::cin >> N >> V;
+
+ for (int i = 1; i <= N; i++) {
+ std::cin >> v[i] >> w[i] >> s[i];
+ }
+
+ for (int i = 1; i <= N; i++) {
+ if (v[i] * s[i] >= V) {
+ CompletePack(v[i], w[i]);
+ } else {
+ int k = 1;
+ int amount = s[i];
+
+ while (k < amount) {
+ ZeroOnePack(k * v[i], k * w[i]);
+ amount -= k;
+ k *= 2;
+ }
+
+ if (amount != 0) {
+ ZeroOnePack(amount * v[i], amount * w[i]);
+ }
+ }
+ }
+
+ std::cout << states[V];
+
+ return 0;
+}