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feat: 添加P1545.cpp解决动态规划问题
实现动态规划算法解决特定区间覆盖问题,计算最小覆盖次数。使用差分数组优化区间标记,并通过双重循环计算最优解。
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src/11/18/P1545.cpp
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39
src/11/18/P1545.cpp
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#include <algorithm>
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#include <cstdint>
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#include <cstdio>
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#include <iostream>
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#include <istream>
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#include <vector>
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using ll = int64_t;
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// #define printf
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const ll inf=1e9+7;
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ll n,l,a,b;
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std::vector<ll> v,dp,diff;
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int main(){
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std::iostream::sync_with_stdio(false);
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std::cin.tie(nullptr);
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std::cin>>n>>l>>a>>b;
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v.resize(l+1);dp.resize(l+1,inf);diff.resize(l+2);
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for(ll i=1;i<=n;i++){
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ll s,e;
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std::cin>>s>>e;
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v[s]++,v[e]--;
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diff[e]++;
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}
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dp[0]=0;
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for(ll i=1;i<=l;i++){
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v[i]+=v[i-1];
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for(ll j=a;j<=b&&i-j*2>=0;j++){
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if(!v[i-j*2] || diff[i-j*2]==v[i-j*2-1]){
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dp[i]=std::min(dp[i],dp[i-j*2]+1);
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}
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}
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printf("now[%lld]=%lld\n",i,v[i]);
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printf("dp[%lld]=%lld\n",i,dp[i]);
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printf("diff[%lld]=%lld\n",i,diff[i]);
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printf("\n");
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}
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std::cout<<dp[l]<<"\n";
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}
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