#include<iostream> #include<list> #include<stdio.h> #include<map> #include<set> using namespace std; #define ull unsigned long long int #define FOR(i,n) for(int i=0;i<(n);++i) #define FORI(i,start,n) for(int i=(start);i<(n);++i) #define nil 5000 #define znakow 26 #define DEBUG 0 #define dcout DEBUG && cout int inline min(int a,int b){return a>b?b:a;} int inline max(int a,int b){return a<b?b:a;} int leng(int n){ int r=1; while(n/=10)++r; return r; } int dig(int n, int k){ int d=leng(n); FOR(i,d-k-1)n/=10; return n%10; } class N { public: N(int k){ prefixLen=leng(k); prefix = new char[prefixLen]; int digit=prefixLen; while(digit){prefix[--digit]=(k%10);k/=10;} zeros=0; increment=0; incrementLength=0; } N(N*n){ prefixLen=n->prefixLen; prefix = new char[prefixLen]; FOR(i,prefixLen) prefix[i]=n->prefix[i]; zeros=n->zeros; increment=n->increment; recalculateIncrementLength(); } char* prefix; int prefixLen; int zeros; int increment, incrementLength; void recalculateIncrementLength(){ incrementLength = min(leng(increment), zeros); } int len(){ return prefixLen+zeros; } int isLessThen(N*o){ int prefixes = max(this->prefixLen, o->prefixLen); FOR(i,prefixes){ int td =this->digit(i); int od = o->digit(i); if(td<od)return 1; if(td>od)return 0; } int tf=max(this->len() - this->incrementLength, prefixes); int of=max(o->len() - o->incrementLength, prefixes); int f=min(tf,of); FORI(i, f, len()){ int td =this->digit(i); int od = o->digit(i); if(td<od)return 1; if(td>od)return 0; } return 0; } int digit(int n){ if(n<prefixLen) return prefix[n]; if(n<prefixLen+zeros-incrementLength) return 0; return dig(increment, n-prefixLen-(zeros-incrementLength)); } void expand(int newLength){ zeros = newLength - prefixLen; recalculateIncrementLength(); } N*makeGreaterThan(N*current){ FOR(i,this->prefixLen){ int td=this->digit(i); int cd=current->digit(i); if(td<cd){ //dcout<<"the new prefix is less then current, so just add enough zeros, so length is one more than previous"<<endl; return this->newExpanded(current->len()+1); } if(td>cd){ //dcout<<"the new prefix is more then current, so just add enough zeros"<<endl; return this->newExpanded(current->len()); } } // new prefix, thus whole number is a prefix to old one if(this->len()==current->len()){ //dcout<<"numbers are equal"<<endl; return this->newExpanded(current->len()+1); } // prefix reminder, zeros, increment if(this->prefixLen<current->prefixLen){ //dcout<<"there is a prefix reminder"<<endl; if(current->canIncreaseIncrease()){ //dcout<<"there is a prefix reminder, can increaseIncrease"<<endl; return current->increaseIncrease(); } if(current->canIncreaseReminder(this->prefixLen)){ //dcout<<"can increase prefix reminder"<<endl; return current->increaseReminder(); } //dcout<<"just expanding next"<<endl; return this->newExpanded(current->len()+1); } //dcout<<"there is no prefix reminder"<<endl; if(current->canIncreaseIncrease(this->prefixLen)){ //dcout<<"can just increaseIncrease"<<endl; return current->increaseIncrease(); } //dcout<<"no prefix reminder and can not increase Increase"<<endl; return this->newExpanded(current->len()+1); } N*newExpanded(int length){ N*r=new N(this); r->expand(length); return r; } N*increaseReminder(){ N*r=new N(this); int lastDigit = r->prefixLen-1; r->prefix[lastDigit]+=1; while(prefix[lastDigit]==10){ prefix[lastDigit]=0; --lastDigit; ++prefix[lastDigit]; } r->increment=0; r->recalculateIncrementLength(); return r; } int canIncreaseReminder(int n){ FORI(i,n,this->prefixLen)if(this->prefix[i]!=9)return 1; return 0; } N*increaseIncrease(){ N*r=new N(this); r->increment+=1; r->recalculateIncrementLength(); return r; } int canIncreaseIncrease(){ return leng(increment+1)<=zeros; } int canIncreaseIncrease(int n){ if(!canIncreaseIncrease())return 0; if(n>=this->len())return 0; int length = this->len(); for(int i=length-1;n<=i;--i){ if(digit(i)!=9)return 1; } return 0; } ~N(){ delete prefix; } char*toString(){ char*c=new char[len()+1]; FOR(i,len())c[i]=digit(i)+'0'; c[len()]=0; return c; FOR(i,prefixLen){ c[i]=prefix[i]+'0'; } FOR(i,zeros-incrementLength){ c[prefixLen+i]='0'; } int h=prefixLen+zeros-incrementLength; int ii=increment; int last=incrementLength; while(last){c[h+(--last)]=(ii%10)+'0';ii/=10;} c[len()]=0; return c; } }; N*inc(N*current, N*next){ if(current->len()<next->len()) return new N(next); if(current->len()==next->len()){ if(current->isLessThen(next)) return new N(next); } return next->makeGreaterThan(current); } int main(){ ios::sync_with_stdio(false); int n; cin>>n; N*current=new N(0); ull d=0; FOR(i,n){ int k; cin>>k; N*next=new N(k); N*newNext = inc(current, next); //dcout<<"was "<<next->toString()<<" is: "<<newNext->toString()<<" len: "<<(newNext->len())<<" zeros: "<<(newNext->zeros)<<" inc: "<<(newNext->increment)<<endl; d+=newNext->len()-next->len(); delete current; current = newNext; delete next; } cout<<d<<endl; 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 | #include<iostream> #include<list> #include<stdio.h> #include<map> #include<set> using namespace std; #define ull unsigned long long int #define FOR(i,n) for(int i=0;i<(n);++i) #define FORI(i,start,n) for(int i=(start);i<(n);++i) #define nil 5000 #define znakow 26 #define DEBUG 0 #define dcout DEBUG && cout int inline min(int a,int b){return a>b?b:a;} int inline max(int a,int b){return a<b?b:a;} int leng(int n){ int r=1; while(n/=10)++r; return r; } int dig(int n, int k){ int d=leng(n); FOR(i,d-k-1)n/=10; return n%10; } class N { public: N(int k){ prefixLen=leng(k); prefix = new char[prefixLen]; int digit=prefixLen; while(digit){prefix[--digit]=(k%10);k/=10;} zeros=0; increment=0; incrementLength=0; } N(N*n){ prefixLen=n->prefixLen; prefix = new char[prefixLen]; FOR(i,prefixLen) prefix[i]=n->prefix[i]; zeros=n->zeros; increment=n->increment; recalculateIncrementLength(); } char* prefix; int prefixLen; int zeros; int increment, incrementLength; void recalculateIncrementLength(){ incrementLength = min(leng(increment), zeros); } int len(){ return prefixLen+zeros; } int isLessThen(N*o){ int prefixes = max(this->prefixLen, o->prefixLen); FOR(i,prefixes){ int td =this->digit(i); int od = o->digit(i); if(td<od)return 1; if(td>od)return 0; } int tf=max(this->len() - this->incrementLength, prefixes); int of=max(o->len() - o->incrementLength, prefixes); int f=min(tf,of); FORI(i, f, len()){ int td =this->digit(i); int od = o->digit(i); if(td<od)return 1; if(td>od)return 0; } return 0; } int digit(int n){ if(n<prefixLen) return prefix[n]; if(n<prefixLen+zeros-incrementLength) return 0; return dig(increment, n-prefixLen-(zeros-incrementLength)); } void expand(int newLength){ zeros = newLength - prefixLen; recalculateIncrementLength(); } N*makeGreaterThan(N*current){ FOR(i,this->prefixLen){ int td=this->digit(i); int cd=current->digit(i); if(td<cd){ //dcout<<"the new prefix is less then current, so just add enough zeros, so length is one more than previous"<<endl; return this->newExpanded(current->len()+1); } if(td>cd){ //dcout<<"the new prefix is more then current, so just add enough zeros"<<endl; return this->newExpanded(current->len()); } } // new prefix, thus whole number is a prefix to old one if(this->len()==current->len()){ //dcout<<"numbers are equal"<<endl; return this->newExpanded(current->len()+1); } // prefix reminder, zeros, increment if(this->prefixLen<current->prefixLen){ //dcout<<"there is a prefix reminder"<<endl; if(current->canIncreaseIncrease()){ //dcout<<"there is a prefix reminder, can increaseIncrease"<<endl; return current->increaseIncrease(); } if(current->canIncreaseReminder(this->prefixLen)){ //dcout<<"can increase prefix reminder"<<endl; return current->increaseReminder(); } //dcout<<"just expanding next"<<endl; return this->newExpanded(current->len()+1); } //dcout<<"there is no prefix reminder"<<endl; if(current->canIncreaseIncrease(this->prefixLen)){ //dcout<<"can just increaseIncrease"<<endl; return current->increaseIncrease(); } //dcout<<"no prefix reminder and can not increase Increase"<<endl; return this->newExpanded(current->len()+1); } N*newExpanded(int length){ N*r=new N(this); r->expand(length); return r; } N*increaseReminder(){ N*r=new N(this); int lastDigit = r->prefixLen-1; r->prefix[lastDigit]+=1; while(prefix[lastDigit]==10){ prefix[lastDigit]=0; --lastDigit; ++prefix[lastDigit]; } r->increment=0; r->recalculateIncrementLength(); return r; } int canIncreaseReminder(int n){ FORI(i,n,this->prefixLen)if(this->prefix[i]!=9)return 1; return 0; } N*increaseIncrease(){ N*r=new N(this); r->increment+=1; r->recalculateIncrementLength(); return r; } int canIncreaseIncrease(){ return leng(increment+1)<=zeros; } int canIncreaseIncrease(int n){ if(!canIncreaseIncrease())return 0; if(n>=this->len())return 0; int length = this->len(); for(int i=length-1;n<=i;--i){ if(digit(i)!=9)return 1; } return 0; } ~N(){ delete prefix; } char*toString(){ char*c=new char[len()+1]; FOR(i,len())c[i]=digit(i)+'0'; c[len()]=0; return c; FOR(i,prefixLen){ c[i]=prefix[i]+'0'; } FOR(i,zeros-incrementLength){ c[prefixLen+i]='0'; } int h=prefixLen+zeros-incrementLength; int ii=increment; int last=incrementLength; while(last){c[h+(--last)]=(ii%10)+'0';ii/=10;} c[len()]=0; return c; } }; N*inc(N*current, N*next){ if(current->len()<next->len()) return new N(next); if(current->len()==next->len()){ if(current->isLessThen(next)) return new N(next); } return next->makeGreaterThan(current); } int main(){ ios::sync_with_stdio(false); int n; cin>>n; N*current=new N(0); ull d=0; FOR(i,n){ int k; cin>>k; N*next=new N(k); N*newNext = inc(current, next); //dcout<<"was "<<next->toString()<<" is: "<<newNext->toString()<<" len: "<<(newNext->len())<<" zeros: "<<(newNext->zeros)<<" inc: "<<(newNext->increment)<<endl; d+=newNext->len()-next->len(); delete current; current = newNext; delete next; } cout<<d<<endl; return 0; } |