Death saves

death_saves.js

for (let i = 0; i < 4; i ++) {
    for (let j = 0; j < 4; j++) {
        if (i === 0 && j === 0) {
            dp[i][j] = STARTING_VAL
        } else {
            if (j === 3) { // life
                dp[i][j] = ((dp[i][j-1]/20) * 11) + (dp[i][j-2]/20) + (dp[i][j-3]/20)
            } else if (i === 3) { // death
                dp[i][j] = ((dp[i-1][j]/20) * 9) + (dp[i-2][j]/20)
            } else {
                // we are somewhere in the middle and rolling a 20 is taken care of
                // you maybe ended up here by rolling a 1
                if (i >= 2) {
                    dp[i][j] += dp[i-2][j]/20
                }
                // you maybe ended up here by rolling a 2-9
                if (i >= 1) {
                    dp[i][j] += (dp[i-1][j]/20)*8
                }
                // you maybe ended up here by rolling 10-19
                if (j >= 1) {
                    dp[i][j] += (dp[i][j-1]/20)*10
                }
            }
        }
    }
}