Problem:
Score: 600 points

Problem Statement

There is a grass field that stretches infinitely.

In this field, there is a negligibly small cow. Let (x, y) denote the point that is x\ \mathrm{cm} south and y\ \mathrm{cm} east of the point where the cow stands now. The cow itself is standing at (0, 0).

There are also N north-south lines and M east-west lines drawn on the field. The i-th north-south line is the segment connecting the points (A_i, C_i) and (B_i, C_i), and the j-th east-west line is the segment connecting the points (D_j, E_j) and (D_j, F_j).

What is the area of the region the cow can reach when it can move around as long as it does not cross the segments (including the endpoints)? If this area is infinite, print INF instead.

Constraints

All values in input are integers between -10^9 and 10^9 (inclusive).

1 \leq N, M \leq 1000

A_i < B_i\ (1 \leq i \leq N)

E_j < F_j\ (1 \leq j \leq M)

The point (0, 0) does not lie on any of the given segments.

Input

Input is given from Standard Input in the following format:

N M
A_1 B_1 C_1
:
A_N B_N C_N
D_1 E_1 F_1
:
D_M E_M F_M

Output

If the area of the region the cow can reach is infinite, print INF; otherwise, print an integer representing the area in \mathrm{cm^2}.

(Under the constraints, it can be proved that the area of the region is always an integer if it is not infinite.)

Sample Input 1

5 6
1 2 0
0 1 1
0 2 2
-3 4 -1
-2 6 3
1 0 1
0 1 2
2 0 2
-1 -4 5
3 -2 4
1 2 4

Sample Output 1

13

The area of the region the cow can reach is 13\ \mathrm{cm^2}.

Sample Input 2

6 1
-3 -1 -2
-3 -1 1
-2 -1 2
1 4 -2
1 4 -1
1 4 1
3 1 4

Sample Output 2

INF

The area of the region the cow can reach is infinite.

Solution in C (GCC 9.2.1) (judge verdict: Runtime Error)

//set many funcs template
//Ver.20190820
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
#include<stdbool.h>
#include<time.h>
#include<assert.h>
#define inf 1072114514
#define llinf 4154118101919364364
#define mod 1000000007
#define pi 3.1415926535897932384
#define size 6666

int max(int a,int b){if(a>b){return a;}return b;}
int min(int a,int b){if(a<b){return a;}return b;}
int zt(int a,int b){return max(a,b)-min(a,b);}
int round(int a,int b){if((a%b)*2 >= b){return (a/b)+1;}return a/b;}
int ceil(int a,int b){if(a%b==0){return a/b;}return (a/b)+1;}
int gcd(int a,int b){int c;while(b!=0){c=a%b;a=b;b=c;}return a;}
int lcm(int a,int b){int c=gcd(a,b);a/=c;return a*b;}
int nCr(int a,int b){int i,r=1;for(i=1;i<=b;i++){r*=(a+1-i);r/=i;}return r;}
int nHr(int a,int b){return nCr(a+b-1,b);}
int fact(int a){int i,r=1;for(i=1;i<=a;i++){r*=i;}return r;}
int pow(int a,int b){int i,r=1;for(i=1;i<=b;i++){r*=a;}return r;}
int dsum(int x){int r=0;while(x){r+=(x%10);x/=10;}return r;}
int dsumb(int x,int b){int r=0;while(x){r+=(x%b);x/=b;}return r;}
int sankaku(int x){return ((1+x)*x)/2;}
void swap(int *a,int *b){int c;c=(*a);(*a)=(*b);(*b)=c;}
long long llmax(long long a,long long b){if(a>b){return a;}return b;}
long long llmin(long long a,long long b){if(a<b){return a;}return b;}
long long llzt(long long a,long long b){return llmax(a,b)-llmin(a,b);}
long long llround(long long a,long long b){if((a%b)*2 >= b){return (a/b)+1;}return a/b;}
long long llceil(long long a,long long b){if(a%b==0){return a/b;}return (a/b)+1;}
long long llgcd(long long a,long long b){long long c;while(b!=0){c=a%b;a=b;b=c;}return a;}
long long lllcm(long long a,long long b){long long c=llgcd(a,b);a/=c;return a*b;}
long long llnCr(long long a,long long b){long long i,r=1;for(i=1;i<=b;i++){r*=(a+1-i);r/=i;}return r;}
long long llnHr(long long a,long long b){return llnCr(a+b-1,b);}
long long llfact(long long a){long long i,r=1;for(i=1;i<=a;i++){r*=i;}return r;}
long long llpow(long long a,long long b){long long i,r=1;for(i=1;i<=b;i++){r*=a;}return r;}
long long lldsum(long long x){long long r=0;while(x){r+=(x%10);x/=10;}return r;}
long long lldsumb(long long x,long long b){long long r=0;while(x){r+=(x%b);x/=b;}return r;}
long long llsankaku(long long x){return ((1+x)*x)/2;}
void llswap(long long *a,long long *b){long long c;c=(*a);(*a)=(*b);(*b)=c;}
double dbmax(double a,double b){if(a>b){return a;}return b;}
double dbmin(double a,double b){if(a<b){return a;}return b;}
double dbzt(double a,double b){return dbmax(a,b)-dbmin(a,b);}
void dbswap(double *a,double *b){double c;c=(*a);(*a)=(*b);(*b)=c;}
void chswap(char *a,char *b){char c;c=(*a);(*a)=(*b);(*b)=c;}
int sortfncsj(const void *a,const void *b){if(*(int *)a>*(int *)b){return 1;}if(*(int *)a==*(int *)b){return 0;}return -1;}
int sortfnckj(const void *a,const void *b){if(*(int *)a<*(int *)b){return 1;}if(*(int *)a==*(int *)b){return 0;}return -1;}
int llsortfncsj(const void *a,const void *b){if(*(long long *)a>*(long long *)b){return 1;}if(*(long long *)a==*(long long *)b){return 0;}return -1;}
int llsortfnckj(const void *a,const void *b){if(*(long long *)a<*(long long *)b){return 1;}if(*(long long *)a==*(long long *)b){return 0;}return -1;}
int dbsortfncsj(const void *a,const void *b){if(*(double *)a>*(double *)b){return 1;}if(*(double *)a==*(double *)b){return 0;}return -1;}
int dbsortfnckj(const void *a,const void *b){if(*(double *)a<*(double *)b){return 1;}if(*(double *)a==*(double *)b){return 0;}return -1;}
int strsortfncsj(const void *a,const void *b){return strcmp((char *)a,(char *)b);}
int strsortfnckj(const void *a,const void *b){return strcmp((char *)b,(char *)a);}
int chsortfncsj(const void *a,const void *b){if(*(char *)a>*(char *)b){return 1;}if(*(char *)a==*(char *)b){return 0;}return -1;}
int chsortfnckj(const void *a,const void *b){if(*(char *)a<*(char *)b){return 1;}if(*(char *)a==*(char *)b){return 0;}return -1;}

long long dx4[4]={1,-1,0,0};
long long dy4[4]={0,0,1,-1};

long long search(long long x,long long a[],long long n){
    long long st=0,fi=n-1,te;
    while(st<=fi){
        te=(st+fi)/2;
        if(a[te]<x){st=te+1;}else{fi=te-1;}
    }
    return st;
}

typedef struct{
long long val;
long long node;
}sd;

int sdsortfnc(const void *a,const void *b){
if(((sd*)a)->val < ((sd*)b)->val){return -1;}
if(((sd*)a)->val > ((sd*)b)->val){return 1;}
return 0;
}

void coordinate_comp(long long a[],long long n){
  long long i,c=0;
  sd dat[524288];
  for(i=0;i<n;i++){
    dat[i].val=a[i];
    dat[i].node=i;
  }
  qsort(dat,n,sizeof(dat[0]),sdsortfnc);
  a[dat[0].node]=c;
  for(i=1;i<n;i++){
    if(dat[i-1].val!=dat[i].val){c++;}
    a[dat[i].node]=c;
  }
}

long long **fl;
long long xcnt=0,ycnt=0;

void rep(long long a,long long b){
  if(a<0 || xcnt<=a){return;}
  if(b<0 || ycnt<=b){return;}
  if(fl[a][b]!=0){return;}
  fl[a][b]=1;
  long long i;
  for(i=0;i<4;i++){rep(a+dx4[i],b+dy4[i]);}
}

int main(void){
  long long i,j,n,m,r=0;
  long long a[size],b[size],c[size];
  long long d[size],e[size],f[size];
  long long x[size],cx[size];
  long long y[size],cy[size];
  long long **s=malloc(sizeof(long long*)*size);
  fl=malloc(sizeof(long long*)*size);
  for(i=0;i<size;i++){
    s[i]=malloc(sizeof(long long)*size);
    fl[i]=malloc(sizeof(long long)*size);
    for(j=0;j<size;j++){s[i][j]=0;fl[i][j]=0;}
  }
  long long sp,fp,vq;
  scanf("%lld%lld",&n,&m);
  
  x[xcnt]=-inf;xcnt++;
  x[xcnt]=inf;xcnt++;
  y[ycnt]=-inf;ycnt++;
  y[ycnt]=inf;ycnt++;
  for(i=0;i<n;i++){
    scanf("%lld%lld%lld",&a[i],&b[i],&c[i]);
    x[xcnt]=a[i];xcnt++;
    x[xcnt]=b[i];xcnt++;
    y[ycnt]=c[i];ycnt++;
    y[ycnt]=c[i];ycnt++;
  }
  for(i=0;i<m;i++){
    scanf("%lld%lld%lld",&f[i],&d[i],&e[i]);
    y[ycnt]=d[i];ycnt++;
    y[ycnt]=e[i];ycnt++;
    x[xcnt]=f[i];xcnt++;
    x[xcnt]=f[i];xcnt++;
  }

  qsort(x,xcnt,sizeof(long long),llsortfncsj);
  for(i=0;i<xcnt;i++){cx[i]=x[i];}
  coordinate_comp(cx,xcnt);
  
  qsort(y,ycnt,sizeof(long long),llsortfncsj);
  for(i=0;i<ycnt;i++){cy[i]=y[i];}
  coordinate_comp(cy,ycnt); 

  for(i=0;i<xcnt;i++){
    for(j=0;j<ycnt;j++){
      if(i==0 || i==xcnt-1 || j==0 || j==ycnt-1){s[i][j]=-1;}
      else{s[i][j]=(x[i+1]-x[i])*(y[j+1]-y[j]);}
    }
  }

  for(i=0;i<n;i++){
    sp=search(a[i],x,xcnt);
    fp=search(b[i],x,xcnt);
    while(x[fp+1]==b[i]){fp++;}
    vq=search(c[i],y,ycnt);
    //printf("[%lld %lld)\n",sp,fp);
    for(j=sp;j<fp;j++){fl[j][vq]=-1;}
  }
  
  for(i=0;i<m;i++){
    sp=search(d[i],y,ycnt);
    fp=search(e[i],y,ycnt);
    while(y[fp+1]==e[i]){fp++;}
    vq=search(f[i],x,xcnt);
    //printf("[%lld %lld)\n",sp,fp);
    for(j=sp;j<fp;j++){fl[vq][j]=-1;}
  }
  
  sp=search(0,x,xcnt);while(x[sp]>0){sp--;}
  fp=search(0,y,ycnt);while(y[fp]>0){fp--;}
  
  //for(i=0;i<xcnt;i++){
  //  for(j=0;j<ycnt;j++){
  //    printf("%lld",-1*fl[i][j]);
  //  }printf("\n");
  //}
  
  rep(sp,fp);

  for(i=0;i<xcnt;i++){
    for(j=0;j<ycnt;j++){
      if(fl[i][j]==1){
        if(s[i][j]==-1){puts("INF");return 0;}
        r+=s[i][j];
      }
    }
  }
  
  printf("%lld\n",r);
  return 0;
}