题面:http://hazeoj.nsfzsr.cn/problem/98
裸的差分约束系统。
将L-R+1>=C 转化成add(l,r+1,c)即可
注意两两数之间也有不等式。
因为差分约束有负权,所以只能跑SPFA
因为出data人丧心病狂卡常数,所以必须用fread快读
AC代码:
#prag\ ma GCC optimize("O3") #include <iostream> #include <cstdio> #include <queue> #include <cstring> #define max(a,b) (a<b ?b:a) #define min(a,b) (a<b ?a:b) const int CH_TOP=2e8; const int INF=0x3f3f3f3f; const int MAXN=420000; using namespace std; char ch[CH_TOP],*now_w=ch-1,*now_r=ch-1; int head[MAXN+5],tot; inline int read(){ while(*++now_r<'0'); register int x=*now_r^48; while(*++now_r>='0') x=(x<<1)+(x<<3)+(*now_r^48); return x; } inline void write(int x){ static char st[20];static int top; if (x<0) *++now_w='-',x*=-1; while(st[++top]=x%10^48,x/=10); while(*++now_w=st[top],--top); *++now_w='\n'; } struct ver{ int to,w,next; }edge[MAXN*3+5]; inline void add_edge(int u,int v,int w){ edge[++tot]=(ver){v,w,head[u]}; head[u]=tot; } queue<int>Q; int dist[MAXN+5]; bool inque[MAXN+5]; inline void SPFA(int s){ memset(dist,-0x3f,sizeof(dist)); dist[s]=0; Q.push(s);inque[s]=true; while(!Q.empty()) { int u=Q.front();Q.pop();inque[u]=false; for(register int e=head[u];e;e=edge[e].next) { int v=edge[e].to,w=edge[e].w; if(dist[u]+w>dist[v]) { dist[v]=dist[u]+w; if(!inque[v]) Q.push(v),inque[v]=true; } } } } int main(){ fread(ch,1,CH_TOP,stdin); int n,l,r,s,L=INF,R=-INF; n=read(); for (register int i=1;i<=n;++i){ l=read();r=read();s=read();r++; L=min(L,l),R=max(r,R); if (l<=r && s<=r-l+1) add_edge(l,r,s); } for (register int i=L+1;i<=R;++i) add_edge(i-1,i,0),add_edge(i,i-1,-1); SPFA(L); write(dist[R]); fwrite(ch,1,now_w-ch,stdout); fclose(stdin);fclose(stdout); return 0; }