#include <cstdio> #include <algorithm> #include <vector> #include <cmath> #include <iostream> using namespace std; int MAX=1; int n,m; int gdz[1000007]; long long tab[1000007]; int dol[1000007]; int ile[1000007]; bool wyg[1000007]; long long kop[1000007]; int kie[1000007]; vector< vector<int> >v; vector< vector<int> >sp; vector< vector<int> >tree; vector< vector<int> >maks; long long min2(long long a, long long b) { if(a<=b) return a; return b; } void update(int id, int e, int v) { int ve=e+MAX; tree[id][ve]=v; maks[id][ve]=v; ve/=2; while(ve>=1) { maks[id][ve]=max(maks[id][2*ve],maks[id][2*ve+1]); tree[id][ve]=min(tree[id][2*ve],tree[id][2*ve+1]); ve/=2; } } int query(int id, int a, int b) { int va=a+MAX, vb=b+MAX; int wyn=min(tree[id][va],tree[id][vb]); while(va/2!=vb/2) { if(va%2==0) wyn=min(wyn,tree[id][va+1]); if(vb%2==1) wyn=min(wyn,tree[id][vb-1]); va/=2; vb/=2; } return wyn; } int znajdz(int id,int node, int i, int j, int a, int b, int v) { if(j<a) return -1; if(i==j) return i; else{ int y=-1; if(tree[id][2*node]<=v&&v<=maks[id][2*node]) y = znajdz(id,2*node,i,(i+j)/2,a,b,v); if(y==-1&&tree[id][2*node+1]<=v&&v<=maks[id][2*node+1]) y = znajdz(id,2*node+1,(i+j)/2+1,j,a,b,v); return y; } } int nwd(int a,int b) { if(b==0) return a; return nwd(b,a%b); } int main() { scanf("%d",&n); for(int i=0; i<n; i++) scanf("%lld",&tab[i]); scanf("%d",&m); int nw=nwd(n,m); long long nww=(long long)n*m/nw; int l=m/nw; for(int i=0; i<m; i++) { char s=getchar(); while(isspace(s)) s=getchar(); if(s=='W') wyg[i]=1; //printf("%d %d\n",wyg[i],i%nw); } //printf("ok\n"); v.resize(nw); for(int i=0; i<nw; i++) { v[i].push_back(-1); int li=1; for(long long j=i; j<nww; j+=n) { v[i].push_back(j%m); gdz[j%m]=li++; } int vv=v[i].size(); for(int j=1; j<vv; j++) v[i].push_back(v[i][j]); } //printf("ok\n"); sp.resize(nw); tree.resize(nw); maks.resize(nw); while(MAX<=2*l+1) MAX<<=1; //printf("%d\n",MAX); for(int i=0; i<v.size(); i++) { sp[i].resize(2*l+1); tree[i].resize(2*MAX+7); maks[i].resize(2*MAX+7); for(int j=1; j<v[i].size(); j++) { sp[i][j]=sp[i][j-1]; if(wyg[v[i][j]]) sp[i][j]++; else sp[i][j]--; update(i,j,sp[i][j]); //printf("%d ",v[i][j]+1); } //printf("\n"); } for(int i=0; i<n; i++) { //printf("%d %d %d\n",i%nw,gdz[i%m],gdz[i%m]+l-1); dol[i]=query(i%nw,gdz[i%m]-1,gdz[i%m]+l-1)-sp[i%nw][gdz[i%m]-1]; //printf("%d %d\n",i+1,dol[i]); kop[i]=tab[i]+dol[i]; ile[i]=sp[i%nw][gdz[i%m]+l-1]-sp[i%nw][gdz[i%m]-1]; //printf("%d %d\n",kop[i],ile[i]); } long long wyn=0; int mini=1000000007; for(int i=0; i<n; i++) { if(kop[i]<=0) mini=min(mini,0); else { if(ile[i]>=0) kie[i]=-1; else kie[i]=(int)ceil((long double)kop[i]/(-ile[i])); } if(kie[i]!=-1) mini=min(mini,kie[i]); } if(mini==1000000007) { printf("-1\n"); return 0; } wyn+=(long long)mini*nww; long long mii=nww+2; for(int i=0; i<n; i++) { tab[i]=tab[i]+mini*ile[i]; kop[i]=kop[i]+mini*ile[i]; if(kop[i]<=0) { int pos=znajdz(i%nw,1,0,MAX-1,gdz[i%m], gdz[i%m]+l-1,sp[i%nw][gdz[i%m]-1]-tab[i]); //printf("%d %d\n",gdz[i%m],pos); mii=min2(mii,i+1+(long long)(pos-gdz[i%m])*n); } } printf("%lld\n",wyn+mii); return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 | #include <cstdio> #include <algorithm> #include <vector> #include <cmath> #include <iostream> using namespace std; int MAX=1; int n,m; int gdz[1000007]; long long tab[1000007]; int dol[1000007]; int ile[1000007]; bool wyg[1000007]; long long kop[1000007]; int kie[1000007]; vector< vector<int> >v; vector< vector<int> >sp; vector< vector<int> >tree; vector< vector<int> >maks; long long min2(long long a, long long b) { if(a<=b) return a; return b; } void update(int id, int e, int v) { int ve=e+MAX; tree[id][ve]=v; maks[id][ve]=v; ve/=2; while(ve>=1) { maks[id][ve]=max(maks[id][2*ve],maks[id][2*ve+1]); tree[id][ve]=min(tree[id][2*ve],tree[id][2*ve+1]); ve/=2; } } int query(int id, int a, int b) { int va=a+MAX, vb=b+MAX; int wyn=min(tree[id][va],tree[id][vb]); while(va/2!=vb/2) { if(va%2==0) wyn=min(wyn,tree[id][va+1]); if(vb%2==1) wyn=min(wyn,tree[id][vb-1]); va/=2; vb/=2; } return wyn; } int znajdz(int id,int node, int i, int j, int a, int b, int v) { if(j<a) return -1; if(i==j) return i; else{ int y=-1; if(tree[id][2*node]<=v&&v<=maks[id][2*node]) y = znajdz(id,2*node,i,(i+j)/2,a,b,v); if(y==-1&&tree[id][2*node+1]<=v&&v<=maks[id][2*node+1]) y = znajdz(id,2*node+1,(i+j)/2+1,j,a,b,v); return y; } } int nwd(int a,int b) { if(b==0) return a; return nwd(b,a%b); } int main() { scanf("%d",&n); for(int i=0; i<n; i++) scanf("%lld",&tab[i]); scanf("%d",&m); int nw=nwd(n,m); long long nww=(long long)n*m/nw; int l=m/nw; for(int i=0; i<m; i++) { char s=getchar(); while(isspace(s)) s=getchar(); if(s=='W') wyg[i]=1; //printf("%d %d\n",wyg[i],i%nw); } //printf("ok\n"); v.resize(nw); for(int i=0; i<nw; i++) { v[i].push_back(-1); int li=1; for(long long j=i; j<nww; j+=n) { v[i].push_back(j%m); gdz[j%m]=li++; } int vv=v[i].size(); for(int j=1; j<vv; j++) v[i].push_back(v[i][j]); } //printf("ok\n"); sp.resize(nw); tree.resize(nw); maks.resize(nw); while(MAX<=2*l+1) MAX<<=1; //printf("%d\n",MAX); for(int i=0; i<v.size(); i++) { sp[i].resize(2*l+1); tree[i].resize(2*MAX+7); maks[i].resize(2*MAX+7); for(int j=1; j<v[i].size(); j++) { sp[i][j]=sp[i][j-1]; if(wyg[v[i][j]]) sp[i][j]++; else sp[i][j]--; update(i,j,sp[i][j]); //printf("%d ",v[i][j]+1); } //printf("\n"); } for(int i=0; i<n; i++) { //printf("%d %d %d\n",i%nw,gdz[i%m],gdz[i%m]+l-1); dol[i]=query(i%nw,gdz[i%m]-1,gdz[i%m]+l-1)-sp[i%nw][gdz[i%m]-1]; //printf("%d %d\n",i+1,dol[i]); kop[i]=tab[i]+dol[i]; ile[i]=sp[i%nw][gdz[i%m]+l-1]-sp[i%nw][gdz[i%m]-1]; //printf("%d %d\n",kop[i],ile[i]); } long long wyn=0; int mini=1000000007; for(int i=0; i<n; i++) { if(kop[i]<=0) mini=min(mini,0); else { if(ile[i]>=0) kie[i]=-1; else kie[i]=(int)ceil((long double)kop[i]/(-ile[i])); } if(kie[i]!=-1) mini=min(mini,kie[i]); } if(mini==1000000007) { printf("-1\n"); return 0; } wyn+=(long long)mini*nww; long long mii=nww+2; for(int i=0; i<n; i++) { tab[i]=tab[i]+mini*ile[i]; kop[i]=kop[i]+mini*ile[i]; if(kop[i]<=0) { int pos=znajdz(i%nw,1,0,MAX-1,gdz[i%m], gdz[i%m]+l-1,sp[i%nw][gdz[i%m]-1]-tab[i]); //printf("%d %d\n",gdz[i%m],pos); mii=min2(mii,i+1+(long long)(pos-gdz[i%m])*n); } } printf("%lld\n",wyn+mii); return 0; } |